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An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.5 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 9% of the sample mean? within 10% of the sample mean? Explain. Cliels

An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.5 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 9% of the sample mean? within 10% of the sample mean? Explain. Cliels

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. orl (a) Determine the minimum sample size required to construct a 90% confidence interval for s the population mean. Assume the population standard deviation is 1.5 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 9% of the sample ts mean? within 10% of the sample mean? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. C... (a) The minimum sample size required to construct a 90% confidence interval is 4 students. (Round up to the nearest whole number.) (b) The 90% confidence interval is ( ). It mean could be within 9% of the sample mean because the interval formed by the values 9% likely that the population away from the sample mean the confidence interval. It likely that the population mean could be within 10% of the sample mean because the interval formed by the values 10% away from the sample mean the confidence interval.
Transcribed Image Text:An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. orl (a) Determine the minimum sample size required to construct a 90% confidence interval for s the population mean. Assume the population standard deviation is 1.5 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 9% of the sample ts mean? within 10% of the sample mean? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. C... (a) The minimum sample size required to construct a 90% confidence interval is 4 students. (Round up to the nearest whole number.) (b) The 90% confidence interval is ( ). It mean could be within 9% of the sample mean because the interval formed by the values 9% likely that the population away from the sample mean the confidence interval. It likely that the population mean could be within 10% of the sample mean because the interval formed by the values 10% away from the sample mean the confidence interval.
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