According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is13,440

miles with a standard deviation of1100

miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts,

,is less than13,440

miles. He takes a random sample of60

cars under the new contracts. The cars in the sample had a mean of13,300

annual miles driven. Is there support for the claim, at the0.10

level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than13,440

miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts.

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult alist of formulas.)

(a)State the null hypothesisH

0

and the alternative hypothesisH

1

.H

0

:

H

1

:

(b)Determine the type of test statistic to use.

(Choose one)

(c)Find the value of the test statistic. (Round to three or more decimal places.)