A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 12,300 miles. A random sample of 34 cars leased from this firm had a mean of 11,826 annual miles...

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Extracted text: A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 12,300 miles. A random sample of 34 cars leased from this firm had a mean of 11,826 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1080 miles. Assume that the population is normally distributed. 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 H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use (Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-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 12,300 miles? OYes ONo olo