An automobile manufacturer claims that its car has a 46.9 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 150 cars, they found a mean MPG of 47. Assume the standard deviation is known to be 1.1. A level of significance of 0.02 will be used. State the hypotheses. Ho: Ha:
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An automobile manufacturer claims that its car has a 54.8 54.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 170 170 cars, they found a mean MPG of 54.5 54.5 . Assume the variance is known to be 4.41 4.41 . A level of significance of 0.01 0.01 will be used. State the hypotheses.
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An automobile manufacturer claims that its car has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 220 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.9. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision. Reject Null Hypothesis Fail to Reject Null Hypothesis
Decide whether you should use the standard normal sampling distribution or a $t$ -sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test and what you can conclude about the claim. Gas Mileage A car company claims that the mean gas mileage for its Iuxury sedan is at least 23 miles per gallon. You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 22 miles per gallon and a standard deviation of 4 miles per gallon. At $\alpha=0.05,$ test the company's claim. Assume the population is normally distributed.
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