According to a leasing firms reports, the mean number of miles driven annually in its leased cars is 12,920 miles with a standard deviation of 3080 miles. The company recently starting using new contracts which requires 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, u, is less than 12,920 miles. He takes a random sample of 29 cars under the new contracts. The cars in the sample had a mean of 12,209 annual driven miles. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 level significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,920 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.

a). State the null and alternative hypothesis

b). Determine the type of statistic to use

c). Find the value of the test statistic. Round your answer to 3 decimal places

d). Find the p-value round to 3 decimal places

e). Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 12,920 miles?