An insurance company is trying to estimate the average number of sick days that full-time food service workers use per year. Assume this population is normal with a standard deviation of 2.5 days. The average number of sick days of 20 full-time food service workers use per year is 9 days. (a) Construct a 95% confidence interval estimate for the population mean number of sick days that full-time food service workers use per year. (b) How large a sample must be selected if the company wants to be 95% confident of getting an interval that contains the true mean with a maximum error of 1 day? (c) In part (a) if your confidence level is 90% would you expect narrower or wider interval.explain
An insurance company is trying to estimate the average number of sick days that full-time food service workers use per year. Assume this population is normal with a standard deviation of 2.5 days. The average number of sick days of 20 full-time food service workers use per year is 9 days. (a) Construct a 95% confidence interval estimate for the population mean number of sick days that full-time food service workers use per year. (b) How large a sample must be selected if the company wants to be 95% confident of getting an interval that contains the true mean with a maximum error of 1 day? (c) In part (a) if your confidence level is 90% would you expect narrower or wider interval.explain
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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An insurance company is trying to estimate the average number
of sick days that full-time food service workers use per year. Assume this population is normal
with a standard deviation of 2.5 days. The average number of sick days of 20 full-time food service
workers use per year is 9 days.
(a) Construct a 95% confidence interval estimate for the population mean number of sick days that full-time food service workers use per year.
(b) How large a sample must be selected if the company wants to be 95% confident of getting an
interval that contains the true mean with a maximum error of 1 day?
(c) In part (a) if your confidence level is 90% would you expect narrower or wider interval.explain
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