(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 60 cars is 27.7 mpg and assume the standard deviation is 2.8 mpg. Now suppose the car producer wants to test the hypothesis that μ, the mean number of miles per gallon, is 27.8 against the alternative hypothesis that it is not 27.8. Conduct a test using a significance level of α=.05 by giving the following:
(a) The test statistic
(b) The P -value
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