In: Statistics and Probability
the average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from the national average? Use a 5% level of significance.
a. State the null and alternative hypotheses ?0: ?1:
b.What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.
c. Run the calculator test and obtain the P-value.
d. Based on your P-value, will you reject or fail to reject the null hypothesis?
e. Interpret your conclusion from part d in the context of this problem.