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Answer questions and solve problems involving the last three steps of a hypothesis test: calculating a test statistic (step three), calculating the p-value (step four), and finally, making the correct conclusion (step five).
-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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