A personnel manager has found that historically the scores on aptitude tests given to applicants for entry level positions follow a normal distribution with a standard deviation of 32.4 points (variance known). A random sample of nine test scores from the current group of applicants had a mean score of 187. 9 points. a. Find an 80% confidence interval for the population mean score ofthe current group of applicants. b. Based on these sample results, a statistician found for the population mean confidence interval extending from 165. 8 to 210. 0 points. Find the confidence level ofthis interval.

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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 A personnel manager has found that historically the scores on aptitude tests given to
applicants for entry level positions follow a normal distribution with a standard deviation of 32.4 points (variance known). A random sample of nine test scores from the current group of applicants had a mean score of 187. 9 points.
a. Find an 80% confidence interval for the population mean score ofthe current
group of applicants.
b. Based on these sample results, a statistician found for the population mean
confidence interval extending from 165. 8 to 210. 0 points. Find the confidence level ofthis interval.
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