normally distributed. An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 years of the population mean. Assume the population of ages (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 (Round up to the nearest whole number.) (b) The 90% confidence interval is students. . 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. It ▼the confidence interval. ▼likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean

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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 1.6 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
(Round up to the nearest whole number.)
(b) The 90% confidence interval is
entirely contains
students.
). 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. It
the confidence interval.
overlaps but does not entirely contain
likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean
Transcribed Image Text:An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 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 (Round up to the nearest whole number.) (b) The 90% confidence interval is entirely contains students. ). 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. It the confidence interval. overlaps but does not entirely contain likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 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
(Round up to the nearest whole number.)
(b) The 90% confidence interval is (
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. It
the confidence interval.
(Round to two decimal places as needed.)
It
Screen Shot 2023-09-24 at 1.07.19 PM
(Round to two decimal places as needed.)
₁
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 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
(Round up to the nearest whole number.)
(b) The 90% confidence interval is
It
the con
the con
seems
students.
does not seem
seems
likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean
does not seem
students.
Search
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
likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean
Transcribed Image Text:An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 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 (Round up to the nearest whole number.) (b) The 90% confidence interval is ( 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. It the confidence interval. (Round to two decimal places as needed.) It Screen Shot 2023-09-24 at 1.07.19 PM (Round to two decimal places as needed.) ₁ An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 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 (Round up to the nearest whole number.) (b) The 90% confidence interval is It the con the con seems students. does not seem seems likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean does not seem students. Search 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 likely that the population mean could be within 11% of the sample mean because the interval formed by the values 11% away from the sample mean
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