There are actually 9 problems broken down to individual components to identify key steps required to solve the problem. They appear as multiple chioce questions. For example the 1st 8 questions are dealing with one problem.The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. A random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating a 95% confidence interval estimate of the average number of days absent for the company's workers last year what will be the standard error?4.0.16.80.0251.8 points QUESTION 2The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating a 95% confidence interval estimate of the average number of days absent for the company's workers last year should you use a z or t value in the formula?zt1.8 points QUESTION 3The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating a 95% confidence interval estimate of the average number of days absent for the company's workers last year what would be the value of your UPPER limit?17.9610.0311.358.0491.8 points QUESTION 4The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating the 95% confidence interval estimate of the proportion of workers absent more than 10 days last year what is the sample proportion used in the formula?.12.10.480401.9 points QUESTION 5The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating the 95% confidence interval estimate of the proportion of workers absent more than 10 days last year would you use a z or t in the formula?zt1.9 points QUESTION 6The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating the 95% confidence interval estimate of the proportion of workers absent more than 10 days last year what is the value of the Z used in the formula?1.7081.7111.651.961.9 points QUESTION 7The labor relations manager of a large corporation wished to study the absenteeism among workers at the company's central office during the last year. a random sample of 25 workers revealed the following: an average of 9.7 days; a standard deviation of 4.0 days; and 12 employees were absent more than 10 days. In estimating the 95% confidence interval estimate of the proportion of workers absent more than 10 days last year what is the upper limit of the confidence interval?.516.6445.284.6761.9 points QUESTION 8You are considering investing in a company. The company claims for the past few years the average monthly return on such an investment has been $870 with a standard deviation of $50. You sample 30 investors and determine the sample average return to be $855. Using a .05 level of significance you will test to determine if there is evidence that the true average return is different from $870. Is this a 1 or 2 tail test?1 tail2 tailindeterminatenone of the above1 points QUESTION 9You are considering investing in a company. The company claims for the past few years the average monthly return on such an investment has been $870 with a standard deviation of $50. You sample 30 investors and determine the sample average return to be $855. Using a .05 level of significance you will test to determine if there is evidence that the true average return is different from $870. What are your critical values?+- 1.65+- 2.045+-1.96+-1.651.8 points QUESTION 10You are considering investing in a company. The company claims for the past few years the average monthly return on such an investment has been $870 with a standard deviation of $50. You sample 30 investors and determine the sample average return to be $855. Using a .05 level of significance you will test to determine if there is evidence that the true average return is different from $870. What is the value of your test statistic?.30-.308.98-1.641.9 points QUESTION 11You are considering investing in a company. The company claims for the past few years the average monthly return on such an investment has been $870 with a standard deviation of $50. You sample 30 investors and determine the sample average return to be $855. Using a .05 level of significance you will test to determine if there is evidence that the true average return is different from $870. If your test statistic is -1.64 what will be your decision?Reject HoReject H1Do not reject H1Do not reject Ho1.9 points QUESTION 12You are considering investing in a company. The company claims for the past few years the average monthly return on such an investment has been $870 with a standard deviation of $50. You sample 30 investors and determine the sample average return to be $855. Using a .05 level of significance you will test to determine if there is evidence that the true average return is different from $870. What is your conclusion?There is evidence of a difference in the average return.There is no evidecne of a difference in the average returnIndeterminateInconclusive1.9 points QUESTION 13A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. Is this a 1 or 2 tail test?1 tail2 tail1.9 points QUESTION 14A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. Is this a one sample or two sample test?one sampletwo sample1.9 points QUESTION 15A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. Is this a test of sample means or sample proportions?sample proportionssample meansbothneither1 points QUESTION 16A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. What are your critical values?+- 1.65+-1.961.741.791.9 points QUESTION 17A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. What is the value of your pooled proportion?.27.73.55.051.9 points QUESTION 18A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. What is the value of your test statistic?1.961.651.74.051.9 points QUESTION 19A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. What is your decision?Reject HoReject H1Do not reject Honone of the above1.9 points QUESTION 20A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years. A random sample of 600 young adults not enrolled in college was selected and 150 of them had at least one motor vehicle accident in the previous two years. At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. If you determine not to reject the null hypothesis what is your conclusion?There is evidence of a difference in the proportions of college aged students and non college aged students having accidentsThere is no evidence of a difference in the proportions of college aged students and non college aged students having accidentsthe data is inconclusivenone of the above1.9 points QUESTION 21A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. Is this a 1 or 2 tail test?1 tail2 tail1.9 points QUESTION 22A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. What is the H1?H1: U< 90H1 not equal to 90H1: U>90Ho: U > or equal to 901.9 points QUESTION 23A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. Is this a Z or t test?tZ1.9 points QUESTION 24A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. Assuming we are using a t test what will be the critical value"?1.28-1.281.29-1.291.9 points QUESTION 25A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. What is the value of your test statistic?1.281.791.82-1.821.9 points QUESTION 26A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. What is your decision?reject Hodo not reject Horeject H1none of the above1.9 points QUESTION 27A statewide real estate company specializes in selling farm property in the state of Nebraska. Their records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, they believe that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days. At the .10 significance level you will test to determine if there has been an increase in selling time. What is your conclusion?there is no evidence that there has been an increase in the average selling timethere is evidence that there has been an increase in the average selling timethere is no evidence that there has been a decrease in the average selling timethere is evidence that there has been a decrease increase in the average selling time1.9 points QUESTION 28The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. Is this a one or two tail test?1 tail2 tailbothneither1.9 points QUESTION 29The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. Is this a Z, t, or F test?ZtF1.9 points QUESTION 30The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is the alternate hypothesis?Ho: proportion > .55H1: proportion > .55H1: proportion < .55H1: proportion > .601.9 points QUESTION 31The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is the value of your critical value?1.96-1.961.645-1.6451.9 points QUESTION 32The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is the value of your test statistic?.60.85.05.551.9 points QUESTION 33The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is your decision?reject H1do not reject Horeject Hoindeterminate1.9 points QUESTION 34The policy of the Suburban Transit authority is to add a bus route if more than 55 percent of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. You will be testing to determine if the Bowman-to-downtown route meets the STA criterion using the .05 significance level. What is your conclusion?There is evidence that more than 55% would use the route and therefore the STA criteria is met.There is no evidence that more than 55% would use the route and therefore the STA criteria was not met..60 is greater than .55 so the criteria is metindeterminant1.9 points QUESTION 35An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. Is this a one sample test or a two sample test?one sample testtwo sample testneitherboth1.9 points QUESTION 36An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. Is this a one tail or two tail test?neitherone tailtwo tail1.5 points QUESTION 37An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. What is H1?Ua < Um where "m" is morning and "a" is afternoonUm > UaUa > UmUa not equal to Um1.9 points QUESTION 38An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. What is your critical value?1.961.281.645.051.9 points QUESTION 39An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. What is your test statistic?1.6451.28.0561.9 points QUESTION 40An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. If your critical value is on the right of your curve and your test statistic is less than the critical value what will be your decision?reject H1do not reject Horeject Hoit depends1.9 points QUESTION 41An industrial engineer would like to determine whether there are more units produced on the afternoon shift than on the morning shift. A sample of 50 morning-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level we will test if the mean number of units produced on the afternoon-shift is larger. What is your conclusion?There is evidence that the mean number of units produced by the afternoon shift is larger.There is evidence that the mean number of units produced by the morning shift is larger.There is no evidence that the mean number of units produced by the afternoon shift is larger.There is evidence that the mean number of units produced by the morning shift is smaller.1.9 points QUESTION 42The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month. As an experiment, he weighed a random sample of 20 packages at the beginning of the month. He found that the mean weight was 20.25 pounds and the standard deviation was 5.84 pounds. Ten packages randomly selected at the end of the month had a mean weight of 24.80 pounds and a standard deviation of 5.67 pounds. At the .05 significance level, we will test to see if we can we conclude that the packages shipped at the end of the month weigh more. What is the alternate hypothesisUe < Ub where e =end of month and b=begining of monthUe > UbUb > UeUb = Ue1.9 points QUESTION 43The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month. As an experiment, he weighed a random sample of 20 packages at the beginning of the month. He found that the mean weight was 20.25 pounds and the standard deviation was 5.84 pounds. Ten packages randomly selected at the end of the month had a mean weight of 24.80 pounds and a standard deviation of 5.67 pounds. At the .05 significance level, we will test to see if we can we conclude that the packages shipped at the end of the month weigh more. What is your critical value?1.7010.501.6451.961.9 points QUESTION 44The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month. As an experiment, he weighed a random sample of 20 packages at the beginning of the month. He found that the mean weight was 20.25 pounds and the standard deviation was 5.84 pounds. Ten packages randomly selected at the end of the month had a mean weight of 24.80 pounds and a standard deviation of 5.67 pounds. At the .05 significance level, we will test to see if we can we conclude that the packages shipped at the end of the month weigh more. What is the value of your test statistic?-2.0311.752.03-11.051.9 points QUESTION 45The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month. As an experiment, he weighed a random sample of 20 packages at the beginning of the month. He found that the mean weight was 20.25 pounds and the standard deviation was 5.84 pounds. Ten packages randomly selected at the end of the month had a mean weight of 24.80 pounds and a standard deviation of 5.67 pounds. At the .05 significance level, we will test to see if we can we conclude that the packages shipped at the end of the month weigh more. What is your decision?reject Hodo not reject Hoindeterminatereject H11.9 points QUESTION 46The manager of a package courier service believes that packages shipped at the end of the month are heavier than those shipped early in the month. As an experiment, he weighed a random sample of 20 packages at the beginning of the month. He found that the mean weight was 20.25 pounds and the standard deviation was 5.84 pounds. Ten packages randomly selected at the end of the month had a mean weight of 24.80 pounds and a standard deviation of 5.67 pounds. At the .05 significance level, we will test to see if we can we conclude that the packages shipped at the end of the month weigh more. What is your conclusion?There is no evidence of a difference in the mean weightthere is no evidence that the packages shipped at the end of the month weigh morethere is evidence that the packages shipped at the end of the month weigh morethere is evidence that the packages shipped at the end of the month weigh less1.9 points QUESTION 47A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is the alternate hypothesis?Uf does not equal Um, where f=final and m=midtermUf < UmUm > UfUf > Um1.9 points QUESTION 48A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is the critical value?1.963.52.283.14271.9 points QUESTION 49A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is your test statistic?10.579.273.5041.961.9 points QUESTION 50A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is your decision?do not reject Horeject Horeject H1inconclusive1.9 points QUESTION 51A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. We will test to determine if there evidence of an improvement on the final examination, at the 1% significance level. What is your conclusion?There is no difference between the scoresthere is no evidence of a significant improvement on the finalthere is evidence of a significant improvement on the finalstudents scored better on the midterm1.9 points QUESTION 52There are two car dealerships in a particular area. The mean monthly sales at the two dealerships are about the same. However, one of the dealerships (dealership A) is boasting to corporate headquarters that his dealership’s monthly sales are more consistent. An industry analyst reviews the last seven months at dealership A and finds the standard deviation of the seven monthly sales to be 14.79. He reviews the last eight months at dealership B and finds the standard deviation of the eight monthly sales to be 22.95. Using the .01 significance level you will test to conclude if the analyst finds evidence that the boast of dealership A is correct. What will be your critical value?1.1.552.1.353.2.414.8.261.9 points QUESTION 53There are two car dealerships in a particular area. The mean monthly sales at the two dealerships are about the same. However, one of the dealerships (dealership A) is boasting to corporate headquarters that his dealership’s monthly sales are more consistent. An industry analyst reviews the last seven months at dealership A and finds the standard deviation of the seven monthly sales to be 14.79. He reviews the last eight months at dealership B and finds the standard deviation of the eight monthly sales to be 22.95. Using the .01 significance level you will test to see if the analyst finds evidence that the boast of dealership A is correct. What is the value of the test statistic?2.418.261.551.961.9 points QUESTION 54There are two car dealerships in a particular area. The mean monthly sales at the two dealerships are about the same. However, one of the dealerships (dealership A) is boasting to corporate headquarters that his dealership’s monthly sales are more consistent. An industry analyst reviews the last seven months at dealership A and finds the standard deviation of the seven monthly sales to be 14.79. He reviews the last eight months at dealership B and finds the standard deviation of the eight monthly sales to be 22.95. Using the .01 significance level does the analyst find evidence that the boast of dealership A is correct?yesnoindeterminant

PLEASE CHECK ATTACHMENT FOR FULL PAPER____ 1.____ 2. ____ 3. ____ 4. ____ 5. A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is +1 standard deviations from the mean. 53.3 36.7 59.6 28.4 Evaluate the sum of the series . 51 −15 −11 15 Find the center and radius of this equation: (x + 4)2 + (y – 3)2 = 25. C(4,–3);r=5 C(4,–3);r=25 C(−4,3);r=25 C(–4,3);r=5 What type of conic section is this equation: 3x2 – 18y2 = 36? circle ellipse hyperbola parabola Write an equation of a parabola with vertex (0, 0) and focus (0, 5). x= y2 x= y2 y= x2 y= x2 ____ 6. ____ 7. ____ 8. A ball on a pendulum moves 50 cm on its first swing. On each succeeding swing back or forth it moves 60% of the distance of the previous swing. Write the first four terms of the sequence of swing lengths. 50, 30, 18, 10.8 30, 18, 10.8, 6.48 50, 20, 8, 3.2 50, 30, 10, −10 Identify the focus and directrix of this equation: y2 – 20x = 0. F(5,0);x=−5 F(−5,0);x=5 F(0,5);y=−5 F(0,−5);y=5 Write an equation of a parabola with vertex (0, 0) and focus (0, −5). a. y=− x2 ____ 9. ____ 10. ____ 11. x=− y2 y= x2 x= y2 Find the foci of this ellipse: + (0, 10) and (0, −10) (0, 8) and (0, −8) (0, 8) and (0, 10) (0, 6) and (0, −6) = 1.

1.) One train travels east at 180 mph towards Christmas Town, while a second train travels south at 130 mph away from Christmas Town. At time t = 0, the first train is 50 miles west and the second train is 30 miles south. Find the rate at which the distance between the trains is changing at time t = 40 minutes.2.) Water pours into a conical tank of height 7 ft and radius 4 ft at a rate of 1.3 ft3/min. How fast is the water level rising when it is 4 ft high?3.) Farmer Kenny has a fence of length 22 ft. Kenny wants to create the biggest grazing area possible. What is the maximal area of the grazing area?4.) A box is constructed out of two different materials. The material for the top and bottom (both square pieces) cost $2/ft2 and the material for the sides costs $4/ft2. Find the dimensions that minimize the cost if the box has a volume of 120 ft3