It iš néčessary 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 40 cars is 27.2 mpg and assume the standard deviation is 4 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.1 against the alternative nypothesis that it is not 27.1. Conduct a test using a significance level of a = .05 by giving the following: a) The test statistic (give to 3 decimal places) is (b) The P -value (give to 4 decimal places) is (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 27.1. O B. We can reject the null hypothesis that u = 27.1 and accept that u + 27.1.

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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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 40 cars is 27.2
mpg and assume the standard deviation is 4 mpg. Now suppose the car producer wants to test the hypothesis that µ, the mean number of miles per gallon, is 27.1 against the alternative
hypothesis that it is not 27.1. Conduct a test using a significance level of a = .05 by giving the following:
(a) The test statistic (give to 3 decimal places) is
(b) The P -value (give to 4 decimal places) is
(c) The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that u = 27.1.
O B. We can reject the null hypothesis that u = 27.1 and accept that u + 27.1.
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 40 cars is 27.2 mpg and assume the standard deviation is 4 mpg. Now suppose the car producer wants to test the hypothesis that µ, the mean number of miles per gallon, is 27.1 against the alternative hypothesis that it is not 27.1. Conduct a test using a significance level of a = .05 by giving the following: (a) The test statistic (give to 3 decimal places) is (b) The P -value (give to 4 decimal places) is (c) The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that u = 27.1. O B. We can reject the null hypothesis that u = 27.1 and accept that u + 27.1.
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