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A car company daims that its few StW gets bether gas milesge than its compreitcr's \( 9 W \). A random sample of 31 of its \( \$ L 45 \) has a mean gas inleage of I3.7 miles per gallon impe] The populaticn standard devatien is known to be \( 0.4 \) mpe A random sample of 47 competitor's 50 vis has a mean zas mileage of \( 13.5 \) mpg. The population Fandard devation for the cornpetitor is known to be0.8 mpg. Test the company's clam at the \( 0.01 \) level of sgnificance let the car company's sers be Popelation 1 and let the competitor's 5 UVs be Poptiation 2 . Step 1 af 3 : State the nuti and altenative hypotheses for the sest. Fill in the Mank below. \( H_{3}-\mu_{1}=H_{2} \) \( H_{\text {e. Hil }} \quad \mathrm{He}_{\mathrm{i}} \) Answer
significance. Let the car company's SUNs be Population 1 and let the competitor's SUVs be Popt Step 2 of 3: Compute the value of the test statistic Round your answer to two decimal places.
5tep 3 of 3: Draw a conclusion and interpret the deciston.

We will use Z-test for two samples as population std. deviations are known. So, Given: 1. Because

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