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A group of 25 randomly selected students, from all MTH213 sections at Zayed University, has a sample mean score of 79 with a sample standard deviation of 5 on a Midterm Assume that the scores are normally distributed. (a) Construct a 90% confidence interval for the mean score, u, of all students taking the test? Round your answer to three decimal places. (b) Based on the 90% confidence interval in (a), is it reasonable that the population mean score is 75? Justify your answer.

A group of 25 randomly selected students, from all MTH213 sections at Zayed University, has a sample mean score of 79 with a sample standard deviation of 5 on a Midterm Assume that the scores are normally distributed. (a) Construct a 90% confidence interval for the mean score, u, of all students taking the test? Round your answer to three decimal places. (b) Based on the 90% confidence interval in (a), is it reasonable that the population mean score is 75? Justify your answer.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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QUESTION 18 A group of 25 randomly selected students, from all MTH213 sections at Zayed University, has a sample mean score of 79 with a sample standard deviation of 5 on a Midterm Ex Assume that the scores are normally distributed. (a) Construct a 90% confidence interval for the mean score, u, of all students taking the test? Round your answer to three decimal places. (b) Based on the 90% confidence interval in (a), is it reasonable that the population mean score is 75? Justify your answer.
Transcribed Image Text:QUESTION 18 A group of 25 randomly selected students, from all MTH213 sections at Zayed University, has a sample mean score of 79 with a sample standard deviation of 5 on a Midterm Ex Assume that the scores are normally distributed. (a) Construct a 90% confidence interval for the mean score, u, of all students taking the test? Round your answer to three decimal places. (b) Based on the 90% confidence interval in (a), is it reasonable that the population mean score is 75? Justify your answer.
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