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 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 10% of the sample mean? within 119% 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.) V seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall v the confidence interval. V the confidence (b) The 90% confidence interval is ( lel D.It 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 (Round to two decimal places as needed.)

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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 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 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.)
students.
(b) The 90% confidence interval is ( ). It
V seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fll
interval. It
(Round to two decimal places as needed.)
V seem likely that the population mean could be within 11% of the sample mean because 11% off from the sample mean would fall
v the confidence
v the confidence interval.
Enter your answer in each of the answer boxes.
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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 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 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.) students. (b) The 90% confidence interval is ( ). It V seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fll interval. It (Round to two decimal places as needed.) V seem likely that the population mean could be within 11% of the sample mean because 11% off from the sample mean would fall v the confidence v the confidence interval. Enter your answer in each of the answer boxes. P Type here to search a 12:18 PM 21 (? 局 31 4/18/2021 20 B& ort sc delete to * 144 Insert esc 144 $4 4. & 7. #3 %23 + backspace home 6. 8. 9. R T. Y U O P tab enter D F J. "K CODS lock pase
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