Question

In: Statistics and Probability

The Cadet is a popular model of sport utility vehicle, known for its relatively high resale...

The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. For a random sample of

35

Cadets, each bought "new" two years ago and each sold "used" within the past month, the sample correlation coefficient

r

relating mileage on the odometer and used selling price was

−0.24

. Based on this information, test for a significant linear relationship between the two variables mileage and used selling price by doing a hypothesis test regarding the population correlation coefficient

ρ

. (Assume that the two variables have a bivariate normal distribution.) Use the

0.10

level of significance, and perform a two-tailed test. Then fill in the table below.

(If necessary, consult a list of formulas.)


The null hypothesis:

H0:

The alternative hypothesis:

H1:

The type of test statistic:

(Choose one)Z,t,Chi square,F

Degrees of freedom:

The value of the test statistic:
(Round to at least three decimal places.)

The two critical values at the

0.10

level of significance:
(Round to at least three decimal places.)

And

Based on the information, can we conclude (using the 0.10 level) that there is a significant linear relationship between mileage and used selling price for two-year-old Cadets?

Yes

No

Solutions

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