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Explanation & Answer
AS = AR since TA is the median
x- 1/ 2= (x+5)/2
x-x/2 = 5/2+1/2 = 6/2 =3
x/2 = 3
x= 6
AS = (6+5)/2 =11/2 = 5 1/2 or 5.5Completion Status:
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MAT 202 Belhaven University Quantitative Reasoning Questions
Question 1Excel Assignment 3: StatisticsMicrosoft Excel has numerous built-in functions for descriptive statistics as well ...
MAT 202 Belhaven University Quantitative Reasoning Questions
Question 1Excel Assignment 3: StatisticsMicrosoft Excel has numerous built-in functions for descriptive statistics as well as probability distributions like the Normal Distribution.1. Average(value1, value2), Quartile.Inc(value1, value2, value 3), Median(value1, value2), Min(value1, value2), Max(value1, value2), StDev.S(value1, value2)Many descriptive stats functions work in a similar way to the Count and Sum functions. The Average, Median, Min, Max, and StDev.S functions gives the mean, median, minimum value, maximum value, and sample standard deviation respectively between value1 and value2. The Quartile.Inc function gives the quartile number value3 (with value3 being between 1 and 4) between value1 and value2.2. To find probabilities (or percentiles) with the Normal Distribution, let us use a for the mean and b for the standard deviation. Then Norm.Dist(k, a, b, True) gives the probability that a randomly selected value, x, is less than (or less than or equal to) k.That means, using the law of complements, that finding the probability that x is greater than (or greater than or equal to) k is 1 – Norm.Dist(k, a, b, True).Exercises: Open a new spreadsheet in Microsoft Excel and complete the following.1. Type the following words in given cells. Cell WordB1 ValueC1 StatsC2 CountC3 SumC4 MeanC5 MinC6 Q1Cell WordC7 MedianC8 Q3C9 MaxC10 Standard Dev. G1 Normal Dist Q F2 MeanF3 Standard Dev. 2. In cell A2, type “=RandBetween(1,10)”, and drag this formula from A2 down to A26. You have now created 25 random numbers between 1 and 10.3. THIS IS IMPORTANT. The problem with RandBetween is that it will generate a new set of values every time the user performs a new calculation. To keep the values we h ave, highlight cells A2 to A26 (hold down the SHIFT key and tap the DOWN button to do so). Copy these values. In cell B2, right click the mouse and select PASTE VALUES. Now the values in the B column will stay the way we want them.MAT 202 Quantitative Reasoning4. In cell D2, type “=COUNT(B2:B26)”, and in cell D3, type “=Sum(B2:B26)” to get the count and sum of the values in our data set.5. In a similar way, in D4, type “=Average(B2:B26)” to calculate the mean. In D5, type “=Min(B2:B26)” and in D9, type “=Max(B2:B26)” to calculate the minimum and maximum values in our data set.6. To find the median, in D7, type “=Median(B2:B26)”, and in D6 and D8, type “=Quartile.Inc(B2:B26, 1)” and “=Quartile.Inc(B2:B26,3)” to find the first and third quartiles respectively. Note, we could also use “=Quartile.Inc(B2:B26, 2)” to the find the median.In the future, that may be a faster method, as we could drag the formula down the B column to find our quartiles.7. In cell D10, find the sample standard deviation by “=StDev.S(B2:B26)”. If you need the population standard deviation (only needed if our sample size is larger than about 30), use “=StDev.P(value1, value2).Normal Distribution Exercises: Suppose heights of lavender plants are normally distributed with a height of 21” and a standard deviation of 4”. Suppose that you select a lavender plant (randomly) in your garden.In cells G2 and G3, type “21” and “4” respectively.1. What’s the probability that your selected lavender plant has a height of 22” or less? In cell F5, type “P(x leq 22)”, and in cel l G5 calculate this probability.We can calculate this by typing “=Norm.Dist(22, G2, G3, True)” to get the value 0.598706326.2. What’s the probability that your selected lavender plant has a height greater than 22”? In cell F6, type “P(x > 22)”, and in cell G6 calculate this probability.We can calculate this by typing “=1 - Norm.Dist(22, G2, G3, True)” to get the value 0.401293674.3. What’s the probability that your selected lavender plant has a height greater than 14”? In cell F7, type “P(x > 14)”, and in cell G7 calculate this probability.We can calculate this by typing “=1 - Norm.Dist(14, G2, G3, True)” to get the value 0.959940843.MAT 202 Quantitative Reasoning8. Save and submit your spreadsheet in Canvas under Excel Assignment 2Question 2Prompt: We have talked about the importance of having a representative sample. Explain how it could be misleading and even dangerous to not have a good sample for a statistic test.Requirements: 250 words minimum initial post, 100 words minimum replyQuestion 3Prompt: Find an example of descriptive statistics and an example of inferential statistics common to everyday life.Requirements: 250 words minimum initial post, 100 words minimum replyQuestion 2
STAT 2002 Walden University Testing a Manufacturers MPG Claim Homework
Note: Last week, you submitted Part 1 of this Assignment. This week, you will complete and submit only Part 2 (including t ...
STAT 2002 Walden University Testing a Manufacturers MPG Claim Homework
Note: Last week, you submitted Part 1 of this Assignment. This week, you will complete and submit only Part 2 (including the Conclusion).Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data: 29.7 24.5 27.1 29.8 29.2 27.0 27.8 24.1 29.3 25.9 26.2 24.5 32.8 26.8 27.8 24.0 23.6 29.2 26.5 27.7 27.1 23.7 24.1 27.2 25.9 26.7 27.8 27.3 27.6 22.8 25.3 26.6 26.4 27.1 26.1To prepare for this Assignment:Refer to last week's Assignment to complete the Conclusion section of this Assignment.Submit Part 2 of your report (including the Conclusion) according to the following prompts.Part 2: Hypothesis Testing: Two-Tail Test and One-Tail TestComplete the following and include your results and responses in your report (use alpha = 0.05):List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs) Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha? (75–150 words, or 1–2 paragraphs) Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.ConclusionsIn your report, use the confidence interval information and the results of the hypothesis testing to provide support for your conclusions and recommendations to the company. Specifically: What conclusions did you reach? What did you learn about the situation by using each method? Did one method offer more conclusive proof than another? (150–225 words, or 2–3 paragraphs)Based on your results, do you support the company’s claim that their minivans get 28 miles per gallon? (75 words, or 1 paragraph)Summarize the details of your test methods and the results from each statistical method you used. Explain the findings so that executives from both the agency and the company can understand your conclusion. (150–225 words, or 2–3 paragraphs)Finally, present recommendations for actions that the company might take to use your findings to better serve their customers in the future. (75 words, or 1 paragraph)Note: For each prompt, be sure to reference at least one scholarly source to support your answer (6 prompt= 6 citations)
Post your 4 paragraph (max) article critique, and then address the following:
read the attached article and write a four-paragraph (maximum) critique addressing the following questions:Do you believe ...
Post your 4 paragraph (max) article critique, and then address the following:
read the attached article and write a four-paragraph (maximum) critique addressing the following questions:Do you believe the results? Why or why not?State the reported confidence interval(s) estimate in two ways: the upper and lower limitsthe sample proportion ± the error term(don’t forget to include the confidence level)State the meaning of the confidence interval(s).Can a reported mean of your article data be treated as a value from a population having a normal distribution? Why or why not?https://files.eric.ed.gov/fulltext/EJ1174957.pdf Link to articlehttps://eric.ed.gov/?q=Confidence+Interval&pr=on&f...
Excelsior College Mathematics and Economics & LPN Workforce Questions & Paper
Research and report on a topic that relates mathematics to art, music, science, or economics. Make sure you describe the ...
Excelsior College Mathematics and Economics & LPN Workforce Questions & Paper
Research and report on a topic that relates mathematics to art, music, science, or economics. Make sure you describe the mathematical concepts that are present in the work and what you understand about the mathematics. Your paper must be at least one full, singlespaced page long. Include a citation and a link to the source(s) you used. On a separate paper please solve the following:Answer each of the following questions in your own words. Do not copy and paste or retype the questions themselves into your document, as this will cause unreliable results at Turnitin.com. Simply provide the answers, in complete sentences. Refer to this data on the U.S. Nursing Workforce from a report from the Department of Health and Human Services. 1. What percentage of states has fewer than 850 registered nurses per 100,000 in population? Does the collection of states represented by this percentage generally represent a specific region of the country? If so, which region might this be; if not, why not? 2. How many states have a number of registered nurses per 100,000 in their workforce in the range of 800-1035? 3. According to Census 2000 and ACS 08-10, which age range has the lowest number of registered nurses working? 4. According to Census 2000 and ACS 08-10, approximately what percentage of the registered nursing workforce is 36-50 years old? 5. In which setting(s) did the estimated number of registered nurses experience a decrease? 6. Overall, how do the graphs of the age distributions for the RN workforce and the LPN workforce compare? 7. Describe 2 additional pieces of information that you can read from the data displays.
8 pages
Questions
When applicable, R output should be provided to support your work and conclusions. All work in your submission should be o ...
Questions
When applicable, R output should be provided to support your work and conclusions. All work in your submission should be organized, clearly labeled
Week 6 Research Design and t Tests: How Are They Connected Assignment
This is a two part assignment Review the Learning Resources and the media programs related to t tests.Using the SPSS softw ...
Week 6 Research Design and t Tests: How Are They Connected Assignment
This is a two part assignment Review the Learning Resources and the media programs related to t tests.Using the SPSS software, open the High School Longitudinal Study dataset found in this week’s Learning Resources and construct a research question that involves a comparison of a means test.Part 1:Research Design and t Tests: How Are They Connected?Use SPSS to answer the research question you constructed and post your response to the following:What is your research question?What is the null hypothesis for your question?What research design would align with this question?What comparison of means test was used to answer the question (be sure to defend the use of the test using the article you found in your search)?What dependent variable was used and how is it measured?What independent variable is used and how is it measured?If you found significance, what is the strength of the effect?Identify your research question and explain your results for a lay audience, what is the answer to your research question?Be sure to support your Main Post and Response Post with reference to the week’s Learning Resources and other scholarly evidence in APA Style.Part 2:Testing Hypotheses for MeansTo prepare for this Assignment:Review the Learning Resources and the media programs related to t tests.For additional support, review the Skill Builder: Research Design and Statistical Design and the Skill Builder: Hypothesis Testing for Independent Samples t-test, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane.Also, review the t test scenarios found in this week’s Learning Resources and consider the three different approaches of t tests:Independent sample t testPaired sample t testOne sample t testBased on each of the three research scenarios provided, open the High School Longitudinal Study dataset or the Afrobarometer dataset from this week’s Learning Resources using SPSS software, then choose and run the appropriate t test.Once you perform your t test analyses, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.For this Assignment:Write a 2- to 3-paragraph analysis of your t test results for each research scenario and include the SPSS syntax and output. Based on your results, provide an explanation of what the implications of social change might be.Use proper APA format, citations, and referencing for your analysis, research questions, and output.
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MAT 202 Belhaven University Quantitative Reasoning Questions
Question 1Excel Assignment 3: StatisticsMicrosoft Excel has numerous built-in functions for descriptive statistics as well ...
MAT 202 Belhaven University Quantitative Reasoning Questions
Question 1Excel Assignment 3: StatisticsMicrosoft Excel has numerous built-in functions for descriptive statistics as well as probability distributions like the Normal Distribution.1. Average(value1, value2), Quartile.Inc(value1, value2, value 3), Median(value1, value2), Min(value1, value2), Max(value1, value2), StDev.S(value1, value2)Many descriptive stats functions work in a similar way to the Count and Sum functions. The Average, Median, Min, Max, and StDev.S functions gives the mean, median, minimum value, maximum value, and sample standard deviation respectively between value1 and value2. The Quartile.Inc function gives the quartile number value3 (with value3 being between 1 and 4) between value1 and value2.2. To find probabilities (or percentiles) with the Normal Distribution, let us use a for the mean and b for the standard deviation. Then Norm.Dist(k, a, b, True) gives the probability that a randomly selected value, x, is less than (or less than or equal to) k.That means, using the law of complements, that finding the probability that x is greater than (or greater than or equal to) k is 1 – Norm.Dist(k, a, b, True).Exercises: Open a new spreadsheet in Microsoft Excel and complete the following.1. Type the following words in given cells. Cell WordB1 ValueC1 StatsC2 CountC3 SumC4 MeanC5 MinC6 Q1Cell WordC7 MedianC8 Q3C9 MaxC10 Standard Dev. G1 Normal Dist Q F2 MeanF3 Standard Dev. 2. In cell A2, type “=RandBetween(1,10)”, and drag this formula from A2 down to A26. You have now created 25 random numbers between 1 and 10.3. THIS IS IMPORTANT. The problem with RandBetween is that it will generate a new set of values every time the user performs a new calculation. To keep the values we h ave, highlight cells A2 to A26 (hold down the SHIFT key and tap the DOWN button to do so). Copy these values. In cell B2, right click the mouse and select PASTE VALUES. Now the values in the B column will stay the way we want them.MAT 202 Quantitative Reasoning4. In cell D2, type “=COUNT(B2:B26)”, and in cell D3, type “=Sum(B2:B26)” to get the count and sum of the values in our data set.5. In a similar way, in D4, type “=Average(B2:B26)” to calculate the mean. In D5, type “=Min(B2:B26)” and in D9, type “=Max(B2:B26)” to calculate the minimum and maximum values in our data set.6. To find the median, in D7, type “=Median(B2:B26)”, and in D6 and D8, type “=Quartile.Inc(B2:B26, 1)” and “=Quartile.Inc(B2:B26,3)” to find the first and third quartiles respectively. Note, we could also use “=Quartile.Inc(B2:B26, 2)” to the find the median.In the future, that may be a faster method, as we could drag the formula down the B column to find our quartiles.7. In cell D10, find the sample standard deviation by “=StDev.S(B2:B26)”. If you need the population standard deviation (only needed if our sample size is larger than about 30), use “=StDev.P(value1, value2).Normal Distribution Exercises: Suppose heights of lavender plants are normally distributed with a height of 21” and a standard deviation of 4”. Suppose that you select a lavender plant (randomly) in your garden.In cells G2 and G3, type “21” and “4” respectively.1. What’s the probability that your selected lavender plant has a height of 22” or less? In cell F5, type “P(x leq 22)”, and in cel l G5 calculate this probability.We can calculate this by typing “=Norm.Dist(22, G2, G3, True)” to get the value 0.598706326.2. What’s the probability that your selected lavender plant has a height greater than 22”? In cell F6, type “P(x > 22)”, and in cell G6 calculate this probability.We can calculate this by typing “=1 - Norm.Dist(22, G2, G3, True)” to get the value 0.401293674.3. What’s the probability that your selected lavender plant has a height greater than 14”? In cell F7, type “P(x > 14)”, and in cell G7 calculate this probability.We can calculate this by typing “=1 - Norm.Dist(14, G2, G3, True)” to get the value 0.959940843.MAT 202 Quantitative Reasoning8. Save and submit your spreadsheet in Canvas under Excel Assignment 2Question 2Prompt: We have talked about the importance of having a representative sample. Explain how it could be misleading and even dangerous to not have a good sample for a statistic test.Requirements: 250 words minimum initial post, 100 words minimum replyQuestion 3Prompt: Find an example of descriptive statistics and an example of inferential statistics common to everyday life.Requirements: 250 words minimum initial post, 100 words minimum replyQuestion 2
STAT 2002 Walden University Testing a Manufacturers MPG Claim Homework
Note: Last week, you submitted Part 1 of this Assignment. This week, you will complete and submit only Part 2 (including t ...
STAT 2002 Walden University Testing a Manufacturers MPG Claim Homework
Note: Last week, you submitted Part 1 of this Assignment. This week, you will complete and submit only Part 2 (including the Conclusion).Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data: 29.7 24.5 27.1 29.8 29.2 27.0 27.8 24.1 29.3 25.9 26.2 24.5 32.8 26.8 27.8 24.0 23.6 29.2 26.5 27.7 27.1 23.7 24.1 27.2 25.9 26.7 27.8 27.3 27.6 22.8 25.3 26.6 26.4 27.1 26.1To prepare for this Assignment:Refer to last week's Assignment to complete the Conclusion section of this Assignment.Submit Part 2 of your report (including the Conclusion) according to the following prompts.Part 2: Hypothesis Testing: Two-Tail Test and One-Tail TestComplete the following and include your results and responses in your report (use alpha = 0.05):List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs) Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha? (75–150 words, or 1–2 paragraphs) Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.ConclusionsIn your report, use the confidence interval information and the results of the hypothesis testing to provide support for your conclusions and recommendations to the company. Specifically: What conclusions did you reach? What did you learn about the situation by using each method? Did one method offer more conclusive proof than another? (150–225 words, or 2–3 paragraphs)Based on your results, do you support the company’s claim that their minivans get 28 miles per gallon? (75 words, or 1 paragraph)Summarize the details of your test methods and the results from each statistical method you used. Explain the findings so that executives from both the agency and the company can understand your conclusion. (150–225 words, or 2–3 paragraphs)Finally, present recommendations for actions that the company might take to use your findings to better serve their customers in the future. (75 words, or 1 paragraph)Note: For each prompt, be sure to reference at least one scholarly source to support your answer (6 prompt= 6 citations)
Post your 4 paragraph (max) article critique, and then address the following:
read the attached article and write a four-paragraph (maximum) critique addressing the following questions:Do you believe ...
Post your 4 paragraph (max) article critique, and then address the following:
read the attached article and write a four-paragraph (maximum) critique addressing the following questions:Do you believe the results? Why or why not?State the reported confidence interval(s) estimate in two ways: the upper and lower limitsthe sample proportion ± the error term(don’t forget to include the confidence level)State the meaning of the confidence interval(s).Can a reported mean of your article data be treated as a value from a population having a normal distribution? Why or why not?https://files.eric.ed.gov/fulltext/EJ1174957.pdf Link to articlehttps://eric.ed.gov/?q=Confidence+Interval&pr=on&f...
Excelsior College Mathematics and Economics & LPN Workforce Questions & Paper
Research and report on a topic that relates mathematics to art, music, science, or economics. Make sure you describe the ...
Excelsior College Mathematics and Economics & LPN Workforce Questions & Paper
Research and report on a topic that relates mathematics to art, music, science, or economics. Make sure you describe the mathematical concepts that are present in the work and what you understand about the mathematics. Your paper must be at least one full, singlespaced page long. Include a citation and a link to the source(s) you used. On a separate paper please solve the following:Answer each of the following questions in your own words. Do not copy and paste or retype the questions themselves into your document, as this will cause unreliable results at Turnitin.com. Simply provide the answers, in complete sentences. Refer to this data on the U.S. Nursing Workforce from a report from the Department of Health and Human Services. 1. What percentage of states has fewer than 850 registered nurses per 100,000 in population? Does the collection of states represented by this percentage generally represent a specific region of the country? If so, which region might this be; if not, why not? 2. How many states have a number of registered nurses per 100,000 in their workforce in the range of 800-1035? 3. According to Census 2000 and ACS 08-10, which age range has the lowest number of registered nurses working? 4. According to Census 2000 and ACS 08-10, approximately what percentage of the registered nursing workforce is 36-50 years old? 5. In which setting(s) did the estimated number of registered nurses experience a decrease? 6. Overall, how do the graphs of the age distributions for the RN workforce and the LPN workforce compare? 7. Describe 2 additional pieces of information that you can read from the data displays.
8 pages
Questions
When applicable, R output should be provided to support your work and conclusions. All work in your submission should be o ...
Questions
When applicable, R output should be provided to support your work and conclusions. All work in your submission should be organized, clearly labeled
Week 6 Research Design and t Tests: How Are They Connected Assignment
This is a two part assignment Review the Learning Resources and the media programs related to t tests.Using the SPSS softw ...
Week 6 Research Design and t Tests: How Are They Connected Assignment
This is a two part assignment Review the Learning Resources and the media programs related to t tests.Using the SPSS software, open the High School Longitudinal Study dataset found in this week’s Learning Resources and construct a research question that involves a comparison of a means test.Part 1:Research Design and t Tests: How Are They Connected?Use SPSS to answer the research question you constructed and post your response to the following:What is your research question?What is the null hypothesis for your question?What research design would align with this question?What comparison of means test was used to answer the question (be sure to defend the use of the test using the article you found in your search)?What dependent variable was used and how is it measured?What independent variable is used and how is it measured?If you found significance, what is the strength of the effect?Identify your research question and explain your results for a lay audience, what is the answer to your research question?Be sure to support your Main Post and Response Post with reference to the week’s Learning Resources and other scholarly evidence in APA Style.Part 2:Testing Hypotheses for MeansTo prepare for this Assignment:Review the Learning Resources and the media programs related to t tests.For additional support, review the Skill Builder: Research Design and Statistical Design and the Skill Builder: Hypothesis Testing for Independent Samples t-test, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane.Also, review the t test scenarios found in this week’s Learning Resources and consider the three different approaches of t tests:Independent sample t testPaired sample t testOne sample t testBased on each of the three research scenarios provided, open the High School Longitudinal Study dataset or the Afrobarometer dataset from this week’s Learning Resources using SPSS software, then choose and run the appropriate t test.Once you perform your t test analyses, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.For this Assignment:Write a 2- to 3-paragraph analysis of your t test results for each research scenario and include the SPSS syntax and output. Based on your results, provide an explanation of what the implications of social change might be.Use proper APA format, citations, and referencing for your analysis, research questions, and output.
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