A leasing firm claims that the mean number of miles drivenannually, ?, in its leased cars is less than 12700 miles. A randomsample of 25 cars leased from this firm had a mean of 12031 annualmiles driven. It is known that the population standard deviation ofthe number of miles driven in cars from this firm is 2800 miles.Assume that the population is normally distributed. Is theresupport for the firm's claim at the 0.01 level of significance?Perform a one-tailed test. Then fill in the table below. Carry yourintermediate computations to at least three decimal places, andround your responses as specified in the table. (If necessary,consult a list of formulas.)
| The nullhypothesis: | H0: | | The alternativehypothesis: | H1: | | The type of teststatistic: | (Choose one)ZtChisquareF | | | | | | | The value of thetest statistic:
(Round to at least three decimal places.) | | Thep-value:
(Round to at least three decimal places.) | | | Can we support theleasing firm's claim that the mean number of miles driven annuallyis less than 12700 miles? | Yes | No |
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