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A car dealer states that a new brand of car get 35 miles per gallon on average Suppose a consumer group claims

Question

A car dealer states that a new brand of car get 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 same 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?

Statistics and Probability