statistics 17

A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 13.200 miles. A random sample of 70 cars leased from this firm had a mean of 12,281 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2760 miles. Is there support for the firm's claim at the 0.01 level of significance? 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 a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H1. P Ho : X S P H : 0 (b) Determine the type of test statistic to use. (Choose one) 0=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) #0 00 X 5 (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the leasing firm's claim that the mean number of miles driven annually is less than 13.200 miles? OYes ONo