Question

It is necessary for an automobile producer to estimate the mean number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 5050 cars is 2727 mpg and the standard deviation of this sample is 3.63.6 mpg.
Now suppose the car producer wants to test the hypothesis that μμ , the mean number of miles per gallon, is 2626 mpg against the alternative hypothesis that it is greater than 2626 mpg.
Conduct this hypothesis test using a significance level of α=.05α=.05 and provide the following information:

(a) The test statistic

(b) The P -value

A study is conducted to determine if a new teaching method is more helpful to the students learning the material than the old method. The mean score on the final exam for a course using the old method is 75. Ten randomly selected students who were taught using the new method take the final exam. Their scores are shown in the table below.

Person	A	B	C	D	E	F	G	H	I	J
Test Score	92	84	78	88	94	97	70	74	81	68

Use a 0.02 significance level to test the claim that on average, students perform better on the final exam with the new teaching method.

(a) What kind of test should be used?

A. Left-Tailed
B. Two-Tailed
C. Right-Tailed
D. It does not matter.

(b) The test statistic is

(c) The P-value is

Answer 1