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It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 60 cars is 27.6 mpg and assume the standard deviation is 3.5 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.4 against the alternative hypothesis that it is not 27.4. Conduct a test using a significance level of a = .05 by giving the following: (a) The test statistic 0.44 (b) The P-value 0.6615 (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 27.4. O B. We can reject the null hypothesis that u = 27.4 and accept that u + 27.4.

It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 60 cars is 27.6 mpg and assume the standard deviation is 3.5 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.4 against the alternative hypothesis that it is not 27.4. Conduct a test using a significance level of a = .05 by giving the following: (a) The test statistic 0.44 (b) The P-value 0.6615 (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 27.4. O B. We can reject the null hypothesis that u = 27.4 and accept that u + 27.4.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 60 cars is 27.6 mpg and assume the standard deviation is 3.5 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.4 against the alternative hypothesis that it is not 27.4. Conduct a test using a significance level of a = .05 by giving the following: (a) The test statistic 0.44 (b) The P-value 0.6615 (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 27.4. O B. We can reject the null hypothesis that u = 27.4 and accept that u + 27.4.
Transcribed Image Text:It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 60 cars is 27.6 mpg and assume the standard deviation is 3.5 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.4 against the alternative hypothesis that it is not 27.4. Conduct a test using a significance level of a = .05 by giving the following: (a) The test statistic 0.44 (b) The P-value 0.6615 (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 27.4. O B. We can reject the null hypothesis that u = 27.4 and accept that u + 27.4.
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