An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.7 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 1.8 years. (b) The sample mean is 21 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 10% of the sample mean? within 11% 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. (a) The minimum sample size required to construct a 90% confidence interval is students. (Round up to the nearest whole number.) (b) The 90% confidence interval is (,). It seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall the confidence interval. It seem likely that the population mean could be within 11% of the sample mean because 11% off from the sample mean would fall the confidence interval. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 1.7 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 1.8 years.
(b) The sample mean is 21 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 10% of the sample mean? within 11% 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.
(a) The minimum sample size required to construct a 90% confidence interval is students.
(Round up to the nearest whole number.)
(b) The 90% confidence interval is (, ). It
seem likely that the population mean could be within
10% of the sample mean because 10% off from the sample mean would fall
the confidence interval. It
seem likely that the population mean could be within 11% of the sample mean because 11% off from
Co
the sample mean would fall
the confidence interval.
(Round to two decimal places as needed.)
ze
Su
me
Transcribed Image Text:An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.7 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 1.8 years. (b) The sample mean is 21 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 10% of the sample mean? within 11% 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. (a) The minimum sample size required to construct a 90% confidence interval is students. (Round up to the nearest whole number.) (b) The 90% confidence interval is (, ). It seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall the confidence interval. It seem likely that the population mean could be within 11% of the sample mean because 11% off from Co the sample mean would fall the confidence interval. (Round to two decimal places as needed.) ze Su me
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