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A car dealer states that a new brand of car gets 35 miles per gallon on...

  1. A car dealer states that a new brand of car gets 35 miles per gallon on average. Suppose a consumer group claims that these cars get less than 35 miles per gallon. A sample of 40 cars is selected, and the sample mean for the 40 cars is 33 miles per gallon while the sample standard deviation is 3.8.
    • Have the assumptions for this test been met? Why or why not?
    • State the null and alternative hypotheses for this test.
    • Calculate the test statistic for this test. Explain what this test statistic represents
    • Use technology to calculate the p-value for this test. Explain what this p-value represents.
    • State the conclusion for this test at the 0.05 level of significance. Do you think the car dealer is telling the truth? Why or why not?
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