Question

(1 point) 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 29.3 mpg and assume the standard deviation is 3.4 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 28.4 against the alternative hypothesis that it is not 28.4. 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 28.4 B. We can reject the null hypothesis that μ 28.4 and accept that μ 28.4.

Answer 1

xmumber of miles pem gallom 11:28 4 , X = 29.3 , σ 314, M-40 a) Test statistic: 29-3-28-t 3.4540 0, S3 8 b) pvaJue=o.oq43 Decis ion: Praue S so hle fail to ejet ul hyootoesis These is not sufficient evideoce to reject the Mull hypothesis: that 28.4