surface area of a sphere with diameter of 76
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finding surface area / also in the form of pi
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Stratford University Week 7 Confidence Interval Maths Discussion Problems
A. Week 7 Post (300+ words):Give an example of an interval estimate of an average or proportion you may use in your daily ...
Stratford University Week 7 Confidence Interval Maths Discussion Problems
A. Week 7 Post (300+ words):Give an example of an interval estimate of an average or proportion you may use in your daily life. For instance, you may say that you are pretty sure your average commute time is between 25-30 minutes, or you are fairly confident that between 60-65% of the population love dogs. Collect some data to see how well your intuition is working. First, does your sample data meet all assumptions necessary to construct the confidence interval of the type you need? Even if it doesn’t, construct and interpret the confidence interval.B.1. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.2. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 260 employees selected randomly from one company, 18.46% of them commute by carpooling. Construct a 90% confidence interval for the true percentage of all employees of the company who carpool.3. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 346 items tested, 12 are found to be defective. Construct the 98% confidence interval for the proportion of all such items that are defective.4. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.5. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.When 328 college students are randomly selected and surveyed, it is found that 122 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.6. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.7. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 380 randomly selected medical students, 21 said that they planned to work in a rural community. Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.8. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.9. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A study involves 607 randomly selected deaths, with 35 of them caused by accidents. Construct a 98% confidence interval for the true percentage of all deaths that are caused by accidents.10. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke.
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 po ...
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 points)1−10does not exist3. (2 points)2a4.Find . (2 points)does not exist305.If and , then find . (2 points)40-416286.Evaluate . (2 points)0does not exist1-17.Evaluate . (2 points)8.Evaluate . (2 points)1does not exist9.If f is a continuous function with odd symmetry and , which of the following statements must be true? (2 points)I.II.There are no vertical asymptotes.III.The lines y = 5 and y = -5 are horizontal asymptotes.I onlyII onlyIII onlyAll statements are true.10.What are the horizontal asymptotes of the function ? (2 points)y = -2 and y = 2y = 2 onlyy = -2 onlyy = 011.Which one or ones of the following statements is/are true? (2 points)I.If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2.II.If f(5) > 0 and f(6) < 0, then there exists a number c between 5 and 6 such that f(c) = 0.III.If f is continuous at 2 and f(2)=8 and f(4)=3, then .All statements are true.I onlyII onlyIII only12.Find (2 points)0-∞∞13.Evaluate . (2 points)0does not exist14.Which of the following are the equations of all horizontal and vertical asymptotes for the graph of ? (2 points)y = 0, x = -4, x = 4y = 1, x = -4, x = 4y = 0, x = -4, x = 0, x = 4y = 1, x = -4, x = 0, x = 415.Evaluate . (2 points)3-51does not exist16.Where is discontinuous? (2 points)x = -2x = 4x = -2 and x = 4f(x) is continuous everywhere17.Which of the following are continuous for all real values of x?(2 points)I.II.III.I onlyII onlyI and II onlyI and III only18.Which of the following must be true for the graph of the function ?(2 points)There is:I.a vertical asymptote at x = 3II.a removable discontinuity at x = 3III.an infinite discontinuity at x = 3I onlyII onlyIII onlyI, II, and III19.What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2? (2 points)82420.What is the instantaneous slope of y = at x = 3? (2 points)21.The height, s, of a ball thrown straight down with initial speed 64 ft/sec from a cliff 80 feet high is s(t) = -16t2 - 64t + 80, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points)256 ft/sec-96 ft/sec0 ft/sec112 ft/sec22.The surface area of a right circular cylinder of height 5 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 6. (2 points)24π34π64π20π
PSYCH 1110 OU Self Esteem Scores Data Set Raw Score & Z Score Worksheet
A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 60 and a standa ...
PSYCH 1110 OU Self Esteem Scores Data Set Raw Score & Z Score Worksheet
A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 60 and a standard deviation of 5. Part A**What raw score cuts off the bottom 33% of this distribution? Steps:Q1: What is the z-score that cuts off the bottom 33% of this distribution? Q2: What is the raw score that cuts off the bottom 33% of this distribution? Part B**What percentage of the scores is between 65 and 70? Steps:Q3: What is the z-score that corresponds to the raw score of 65? Q4: What is the z-score that corresponds to the raw score of 70? Q5: What percentage of the scores is between 65 and 70? Part C:**A raw score of 57.5 is associated with what percentile? Steps:Q6: What is the z-score associated with a raw score of 57.5? Q7: A raw score of 57.5 is associated with what percentile?Part D:**What raw scores mark the middle 95% of this distribution? Steps:Q8: What are the z-scores that mark the middle 95% of this distribution? Q9: What is the raw score below the mean? Q10: What is the raw score above the mean? Part E:**What is the median of this distribution? Q11: What is the median of this distribution? The following 9 questions (Q12 to Q20) are conceptual questions based on Modules 3 and 4.Q12: In a positively skewed distribution, Alice scored the mean, Betty scored the median, and Claire scored the mode. Who had the lowest score? Alice Betty Claire All three scored approximately the same Q13: In a normal distribution, Alice scored the mean, Betty scored the median, and Claire scored the mode. Who had the lowest score? Alice Betty Claire All three scored approximately the same Q14: The z-distribution always has a mean of _____ and a standard deviation of _____. 1; 0 0; 0 0; 1 1;1 Q15: A test score of 84 was transformed into a standard score of –1.5. If the standard deviation of test scores was 4, what is the mean of the test scores? 78 89 90 D. 88 Q16: The standard deviation for the sample numbers 8, 9, and 10 is –3.0 0.0 C..67 D. 1.0 Q17: A university administrator randomly selected 10 freshmen and 10 seniors and asked them how satisfied they are with life at Ohio University on a 1 (not at all satisfied) to 9 (very satisfied) scale. The administrator’s date is below: Mean Variance Freshmen 3 10 Seniors 8 1 These results seem to indicate that: freshmen agree more with each other about their life satisfaction than do seniors seniors agree more with each other about their life satisfaction than do freshmen all freshman tend to be satisfied with life freshmen and seniors experience equal life satisfaction E. none of the above are accurate Q18: A sample of data has a standard deviation of 10. If you were to divide all the scores in the date set by a factor of two (2), what would the new standard deviation be? 10 5 2.5 none of the above The following 2 questions (Q19 to Q20) are either “True” or “False” Q19: The variance for a set of data can be a negative value. Q20: The two parameters that completely characterize a standardized normal distribution are “μ” and “σ”.
Boston University Database Management and Modeling Discussion
Create a text vector called Months with names of the 12 months of the year. Create a numeric vector Summer, with Calendar ...
Boston University Database Management and Modeling Discussion
Create a text vector called Months with names of the 12 months of the year. Create a numeric vector Summer, with Calendar month index positions for the summer months (inclusive, with 4 elements in all). Use vector indexing to extract the text values of Months, indexed by Summer. Multiply Summer by 3. What are the values of Months, when indexed by Summer multiplied by 3? Why do you get that answer? What is the mean (average) summer month, as an integer value? Which value of Months corresponds to it? Why do you get that answer? Use the floor() and ceiling() functions to return the upper and lower limits of Months for the average Summer month. (Hint: to find out how a function works, use R help if needed.) E-commerce Data for Exercises The data set comprises responses to intercept surveys asked when users visited the site, along with data about each user’s site activity such as number of pages visited and whether a sale was completed. Identifying details for the site and customers have been removed but the observations otherwise are actual data. We will load the data set first, and then explain a few of its observations. To load the data from CSV format, use the following command (or load ecommerce-data.csv from a local location if you have downloaded it, as noted in Section 1.6.3). ecomm.df <- read.csv("https://goo.gl/hzRyFd") summary(ecomm.df) How many observations and variables are in the e-commerce data set? Compute a frequency table for the country of origin for site visits. After the United States, which country had the most visitors? Compute a two-way frequency table for the intent to purchase (intentWasPlanningToBuy), broken out by user profile. What are the proportions of parents who intended to purchase? the proportions of teachers who did? For each one, omit observations for whom the intent is unknown (blank). Among US states (recorded in the variable region), which state had the most visitors and how many? Solve the previous problem for the state with the most visitors, using the which.max() function (or repeat the same answer, if you already used it). Draw a histogram for the number of visits to the site (behavNumVisits). Adjust it for more detail in the lower values. Color the bars and add a density line. Draw a horizontal boxplot for the number of site visits. Which chart from the previous two exercises, a histogram or a boxplot, is more useful to you, and why? Draw a boxplot for site visits broken out with a unique row for each profile type. (Note: if the chart margins make it unreadable, try the following command before plotting: par(mar=c(3, 12, 2, 2)). After plotting, you can use the command par(mar=c(5, 4, 4, 2) + 0.1) to reset the chart margins.) *Write a function called MeanMedDiff that returns the absolute difference between the mean and the median of a vector. *What is the mean-median difference for number of site visits? *What is the mean-median difference for site visits, after excluding the person who had the most visits?
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Stratford University Week 7 Confidence Interval Maths Discussion Problems
A. Week 7 Post (300+ words):Give an example of an interval estimate of an average or proportion you may use in your daily ...
Stratford University Week 7 Confidence Interval Maths Discussion Problems
A. Week 7 Post (300+ words):Give an example of an interval estimate of an average or proportion you may use in your daily life. For instance, you may say that you are pretty sure your average commute time is between 25-30 minutes, or you are fairly confident that between 60-65% of the population love dogs. Collect some data to see how well your intuition is working. First, does your sample data meet all assumptions necessary to construct the confidence interval of the type you need? Even if it doesn’t, construct and interpret the confidence interval.B.1. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.2. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 260 employees selected randomly from one company, 18.46% of them commute by carpooling. Construct a 90% confidence interval for the true percentage of all employees of the company who carpool.3. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 346 items tested, 12 are found to be defective. Construct the 98% confidence interval for the proportion of all such items that are defective.4. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.5. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.When 328 college students are randomly selected and surveyed, it is found that 122 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.6. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.7. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 380 randomly selected medical students, 21 said that they planned to work in a rural community. Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.8. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.9. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A study involves 607 randomly selected deaths, with 35 of them caused by accidents. Construct a 98% confidence interval for the true percentage of all deaths that are caused by accidents.10. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke.
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 po ...
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 points)1−10does not exist3. (2 points)2a4.Find . (2 points)does not exist305.If and , then find . (2 points)40-416286.Evaluate . (2 points)0does not exist1-17.Evaluate . (2 points)8.Evaluate . (2 points)1does not exist9.If f is a continuous function with odd symmetry and , which of the following statements must be true? (2 points)I.II.There are no vertical asymptotes.III.The lines y = 5 and y = -5 are horizontal asymptotes.I onlyII onlyIII onlyAll statements are true.10.What are the horizontal asymptotes of the function ? (2 points)y = -2 and y = 2y = 2 onlyy = -2 onlyy = 011.Which one or ones of the following statements is/are true? (2 points)I.If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2.II.If f(5) > 0 and f(6) < 0, then there exists a number c between 5 and 6 such that f(c) = 0.III.If f is continuous at 2 and f(2)=8 and f(4)=3, then .All statements are true.I onlyII onlyIII only12.Find (2 points)0-∞∞13.Evaluate . (2 points)0does not exist14.Which of the following are the equations of all horizontal and vertical asymptotes for the graph of ? (2 points)y = 0, x = -4, x = 4y = 1, x = -4, x = 4y = 0, x = -4, x = 0, x = 4y = 1, x = -4, x = 0, x = 415.Evaluate . (2 points)3-51does not exist16.Where is discontinuous? (2 points)x = -2x = 4x = -2 and x = 4f(x) is continuous everywhere17.Which of the following are continuous for all real values of x?(2 points)I.II.III.I onlyII onlyI and II onlyI and III only18.Which of the following must be true for the graph of the function ?(2 points)There is:I.a vertical asymptote at x = 3II.a removable discontinuity at x = 3III.an infinite discontinuity at x = 3I onlyII onlyIII onlyI, II, and III19.What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2? (2 points)82420.What is the instantaneous slope of y = at x = 3? (2 points)21.The height, s, of a ball thrown straight down with initial speed 64 ft/sec from a cliff 80 feet high is s(t) = -16t2 - 64t + 80, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points)256 ft/sec-96 ft/sec0 ft/sec112 ft/sec22.The surface area of a right circular cylinder of height 5 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 6. (2 points)24π34π64π20π
PSYCH 1110 OU Self Esteem Scores Data Set Raw Score & Z Score Worksheet
A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 60 and a standa ...
PSYCH 1110 OU Self Esteem Scores Data Set Raw Score & Z Score Worksheet
A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 60 and a standard deviation of 5. Part A**What raw score cuts off the bottom 33% of this distribution? Steps:Q1: What is the z-score that cuts off the bottom 33% of this distribution? Q2: What is the raw score that cuts off the bottom 33% of this distribution? Part B**What percentage of the scores is between 65 and 70? Steps:Q3: What is the z-score that corresponds to the raw score of 65? Q4: What is the z-score that corresponds to the raw score of 70? Q5: What percentage of the scores is between 65 and 70? Part C:**A raw score of 57.5 is associated with what percentile? Steps:Q6: What is the z-score associated with a raw score of 57.5? Q7: A raw score of 57.5 is associated with what percentile?Part D:**What raw scores mark the middle 95% of this distribution? Steps:Q8: What are the z-scores that mark the middle 95% of this distribution? Q9: What is the raw score below the mean? Q10: What is the raw score above the mean? Part E:**What is the median of this distribution? Q11: What is the median of this distribution? The following 9 questions (Q12 to Q20) are conceptual questions based on Modules 3 and 4.Q12: In a positively skewed distribution, Alice scored the mean, Betty scored the median, and Claire scored the mode. Who had the lowest score? Alice Betty Claire All three scored approximately the same Q13: In a normal distribution, Alice scored the mean, Betty scored the median, and Claire scored the mode. Who had the lowest score? Alice Betty Claire All three scored approximately the same Q14: The z-distribution always has a mean of _____ and a standard deviation of _____. 1; 0 0; 0 0; 1 1;1 Q15: A test score of 84 was transformed into a standard score of –1.5. If the standard deviation of test scores was 4, what is the mean of the test scores? 78 89 90 D. 88 Q16: The standard deviation for the sample numbers 8, 9, and 10 is –3.0 0.0 C..67 D. 1.0 Q17: A university administrator randomly selected 10 freshmen and 10 seniors and asked them how satisfied they are with life at Ohio University on a 1 (not at all satisfied) to 9 (very satisfied) scale. The administrator’s date is below: Mean Variance Freshmen 3 10 Seniors 8 1 These results seem to indicate that: freshmen agree more with each other about their life satisfaction than do seniors seniors agree more with each other about their life satisfaction than do freshmen all freshman tend to be satisfied with life freshmen and seniors experience equal life satisfaction E. none of the above are accurate Q18: A sample of data has a standard deviation of 10. If you were to divide all the scores in the date set by a factor of two (2), what would the new standard deviation be? 10 5 2.5 none of the above The following 2 questions (Q19 to Q20) are either “True” or “False” Q19: The variance for a set of data can be a negative value. Q20: The two parameters that completely characterize a standardized normal distribution are “μ” and “σ”.
Boston University Database Management and Modeling Discussion
Create a text vector called Months with names of the 12 months of the year. Create a numeric vector Summer, with Calendar ...
Boston University Database Management and Modeling Discussion
Create a text vector called Months with names of the 12 months of the year. Create a numeric vector Summer, with Calendar month index positions for the summer months (inclusive, with 4 elements in all). Use vector indexing to extract the text values of Months, indexed by Summer. Multiply Summer by 3. What are the values of Months, when indexed by Summer multiplied by 3? Why do you get that answer? What is the mean (average) summer month, as an integer value? Which value of Months corresponds to it? Why do you get that answer? Use the floor() and ceiling() functions to return the upper and lower limits of Months for the average Summer month. (Hint: to find out how a function works, use R help if needed.) E-commerce Data for Exercises The data set comprises responses to intercept surveys asked when users visited the site, along with data about each user’s site activity such as number of pages visited and whether a sale was completed. Identifying details for the site and customers have been removed but the observations otherwise are actual data. We will load the data set first, and then explain a few of its observations. To load the data from CSV format, use the following command (or load ecommerce-data.csv from a local location if you have downloaded it, as noted in Section 1.6.3). ecomm.df <- read.csv("https://goo.gl/hzRyFd") summary(ecomm.df) How many observations and variables are in the e-commerce data set? Compute a frequency table for the country of origin for site visits. After the United States, which country had the most visitors? Compute a two-way frequency table for the intent to purchase (intentWasPlanningToBuy), broken out by user profile. What are the proportions of parents who intended to purchase? the proportions of teachers who did? For each one, omit observations for whom the intent is unknown (blank). Among US states (recorded in the variable region), which state had the most visitors and how many? Solve the previous problem for the state with the most visitors, using the which.max() function (or repeat the same answer, if you already used it). Draw a histogram for the number of visits to the site (behavNumVisits). Adjust it for more detail in the lower values. Color the bars and add a density line. Draw a horizontal boxplot for the number of site visits. Which chart from the previous two exercises, a histogram or a boxplot, is more useful to you, and why? Draw a boxplot for site visits broken out with a unique row for each profile type. (Note: if the chart margins make it unreadable, try the following command before plotting: par(mar=c(3, 12, 2, 2)). After plotting, you can use the command par(mar=c(5, 4, 4, 2) + 0.1) to reset the chart margins.) *Write a function called MeanMedDiff that returns the absolute difference between the mean and the median of a vector. *What is the mean-median difference for number of site visits? *What is the mean-median difference for site visits, after excluding the person who had the most visits?
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