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Question: A new car is designed to run a mean of at least 50 000 kilometers before its first tune-up. Tests with 30 cars show a sample mean of 49 500 kilometers and a sample standard deviation of 1000 kilometers.
a. Develop the null and alternative hypotheses most appropriate for testing the claim that the new car can run at least 50 000 kilometers before its first tune-up.
b. Using a .05 level of significance, test whether or not there is sufficient evidence to reject the claim of a mean of at least 50 000 kilometers.
c. What is the p-value?
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