It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sample mean for a random sample of 110 cars is 29.4 miles and assume the standard deviation is 3.4 miles. Now suppose the car producer wants to test the hypothesis that ?μ, the mean number of miles per gallon, is 32.4 against the alternative hypothesis that it is not 32.4 Conduct a test using ?=.05 by giving the following: (a) positive critical ? score (b) negative critical ? score (c) test statistic The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that ?=32.4 B. We can reject the null hypothesis that ?=32.4 and accept that ?≠32.4

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
Question

It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sample mean for a random sample of 110 cars is 29.4 miles and assume the standard deviation is 3.4 miles. Now suppose the car producer wants to test the hypothesis that ?μ, the mean number of miles per gallon, is 32.4 against the alternative hypothesis that it is not 32.4 Conduct a test using ?=.05 by giving the following:

(a)    positive critical ? score    

(b)    negative critical ? score    

(c)    test statistic    

 

The final conclustion is


A. There is not sufficient evidence to reject the null hypothesis that ?=32.4
B. We can reject the null hypothesis that ?=32.4 and accept that ?≠32.4

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