# Statistics: Solving for the P-Value

Please help with the following problem.

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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#### Solution Preview

Also view the attachment so that you can view the formulas and all the appropriate variable characters.

a) Null Hypothesis: The new car can run less than 50,000 kilometers.

Alternative Hypothesis: The new car can run greater than or equal to 50,000 kilometers.

b) Significance level = alpha = 0.05

We ...

#### Solution Summary

The solution examines solving for a p-value for a new car. Calculations are given with explanations.