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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 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.)

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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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. 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
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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