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 28.8 mpg and as the standard deviation is 2.3 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.7 against the alternative hypothesis that it is not 27.7 Cond 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 u27.7

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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 28.8 mpg and assum
the standard deviation is 2.3 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.7 against the alternative hypothesis that it is not 27.7. Conduct-
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 = 27.7.
B. We can reject the null hypothesis that u
27.7 and accept that u 27.7.
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 28.8 mpg and assum the standard deviation is 2.3 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.7 against the alternative hypothesis that it is not 27.7. Conduct- 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 = 27.7. B. We can reject the null hypothesis that u 27.7 and accept that u 27.7.
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