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 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 8% of the sample mean? within 9% 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.

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 1.3 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 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 8% of the sample mean? within 9% 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
FER
(a) The minimum sample size required to construct a 90% confidence interval is
(Round up to the nearest whole number.)
students.
(b) The 90% confidence interval is (). It
the sample mean because the interval formed by the values 8% away from the sample mean
the confidence interval. It
could be within 9% of the sample mean because the interval forme
the confidence interval.
(Round to two decimal places as needed.)
likely that the population mean could be within 8% of
seems
likely that the population mean
rom the sample mean
does not seem
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. (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 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 8% of the sample mean? within 9% 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 FER (a) The minimum sample size required to construct a 90% confidence interval is (Round up to the nearest whole number.) students. (b) The 90% confidence interval is (). It the sample mean because the interval formed by the values 8% away from the sample mean the confidence interval. It could be within 9% of the sample mean because the interval forme the confidence interval. (Round to two decimal places as needed.) likely that the population mean could be within 8% of seems likely that the population mean rom the sample mean does not seem
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 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 8% of the sample mean? within 9% 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
(Round up to the nearest whole number.)
IS
|--
(b) The 90% confidence interval is.). It
likely that the population mean could be within 8% of
the sample mean because the interval formed by the values 8% away from the sample mean
the confidence interval. It
likely that the population mean
could be within 9% of the sample mean because the interval formed by the values 9% away from the sample mean
the confidence interval.
entirely contains
overlaps but does not entirely contain
students.
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. (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 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 8% of the sample mean? within 9% 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 (Round up to the nearest whole number.) IS |-- (b) The 90% confidence interval is.). It likely that the population mean could be within 8% of the sample mean because the interval formed by the values 8% away from the sample mean the confidence interval. It likely that the population mean could be within 9% of the sample mean because the interval formed by the values 9% away from the sample mean the confidence interval. entirely contains overlaps but does not entirely contain students.
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