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A leasing firm claims that the mean number of miles driven annually, in its leased cars is less than 12380 miles. A random sample of 70 cars leased from this firm had a mean of 11552 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 2580 miles. Is there support for the firms claim at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis The alternative hypothesis: The type of test statistic: (Choose one) The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.01 level of significance: Round to at least three decimal places.) Can we support the leasing firms claim that the mean number of miles driven annually is less than 12380 miles? O Yes No

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Null hypothesis: Ho 12380 That is, the mean number of miles driven annually in its leased cars is 12380 miles Alternative hypothesis: H <12380 That is, the mean number of miles driven annually in its leased cars is less than 12380 miles The type of test statistic is one-tailed z-test EXCEL (PH Stat) output:Z Test of Hypothesis for the Mean Data Null Hypothesis Level of Significance Population Standard Deviation Sample Size Sample Mean 12380 0.01 2580 70 11552 Intermediate Calculation:s Standard Error of the Mean Z Test Statistic 308.3690 2.6851 Lower-Tail Test Lower Critical Value p-Value -2.3263 0.0036 Reject the null hypothesis The value of the test statistic is z -26851 The critical value at 0.01 level of significance is crit-2.3263 Yes, mean number of miles driven annually is less than 12380 miles.

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