personnel manager has found that historically, the scores on aptitude tests given to applicants for entry-level positions follow a normal distribution with standard deviation 32.4 points. A random sample of 9 test scores from the current group of applicants had mean 187.9 points. a. Find a 80% confidence interval for the population mean score for the current group of applicants. b. Based on these sample results, a statistician found for the population mean a confidence interval running from 165.8 to 210.0 points. Find the probability content of this 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 standard deviation 32.4 points. A random sample of 9 test scores from the current group of applicants had mean 187.9 points.
a. Find a 80% confidence interval for the population mean score for the current group of applicants.
b. Based on these sample results, a statistician found for the population mean a confidence interval running from 165.8 to 210.0 points. Find the probability content of this interval.
 
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