A statistician was getting his car serviced at a dealership. He wondered if the average service cost for females was higher than fo males. A random sample of 110 women had an average service cost of $240 with a standard deviation of $20. A random sample of 120 men had an average service cost of $180 with a standard deviation c $100. Define the first population as men and the second population as women. Using a 5% significance level, determine if the average service cost for women is higher than men. Give the hypotheses.

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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Question 10: give the rejection region
A statistician was getting his car serviced at a dealership. He
wondered if the average service cost for females was higher than for
males. A random sample of 110 women had an average service cost
of $240 with a standard deviation of $20. A random sample of 120
men had an average service cost of $180 with a standard deviation of
$100. Define the first population as men and the second population
as women. Using a 5% significance level, determine if the average
service cost for women is higher than men.
Give the hypotheses.
Transcribed Image Text:A statistician was getting his car serviced at a dealership. He wondered if the average service cost for females was higher than for males. A random sample of 110 women had an average service cost of $240 with a standard deviation of $20. A random sample of 120 men had an average service cost of $180 with a standard deviation of $100. Define the first population as men and the second population as women. Using a 5% significance level, determine if the average service cost for women is higher than men. Give the hypotheses.
Give the rejection region.
Greater than 1.64
Less than -1.64
Greater than 1.96
Less than -1.96
Transcribed Image Text:Give the rejection region. Greater than 1.64 Less than -1.64 Greater than 1.96 Less than -1.96
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