Question 6

Chapter 9 Review Problems #7 Complete the full hypothesis test for the question below.

Based on information from the Federal Highway Administration website, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average miles driven per vehicle last year was 13.2 thousand miles. Would this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average of 13.5 thousand miles? Use a 0.05 level of significance.

Express the null hypothesis H₀ and the alternative hypothesis H₁ in symbolic form.

a)

: =13.5

: <13.5

b)

: =13.5

: 13.5

c)

: 13.5

: =13.5

d)

: =13.5

: >13.5

For Question 6... The type of test to be performed is a ______________ test

a.two-tailed

b.left-tailed

c.right-tailed

For Question 6.....Find the critical z values.

Assume that the normal distribution applies. =0.05

a.z = - 1.96; 1.96

b.z = - 1.645, 1.645

c.z = - 1.75; 1.75

d.z = - 1.75

9.Based on information from the Federal Highway Administration website, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average miles driven per vehicle last year was 13.2 thousand miles. Would this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average of 13.5 thousand miles? Use a 0.05 level of significance.

The test statisitc (to the nearest hundredth) is z = Blank 1

Use the given information in Question 9 to compute the P-value (to the nearest ten-thousandth...four decimal places)

P-value = __________

For Question 9....what is the final conclusion?

a.Fail to reject the null hypothesis,

b.Reject the null hypothesis,

For Question 9....what is the final conclusion and statement?

a.Fail to reject the null hypothesis, . There issufficient evidence to warrant rejection of the claim that the average miles driven per vehicle in Chicago is different from the national average of 13.5 thousand miles.

b.Fail to reject the null hypothesis, . There isnot sufficient evidence to warrant rejection of the claim that the average miles driven per vehicle in Chicago is different from the national average of 13.5 thousand miles.

c.Reject the null hypothesis, . There issufficient evidence to warrant rejection of the claim that the average miles driven per vehicle in Chicago is different from the national average of 13.5 thousand miles.

d.Reject the null hypothesis, . There isnot sufficient evidence to warrant rejection of the claim that the average miles driven per vehicle in Chicago is different from the national average of 13.5 thousand miles.