# A car company claims that the mean gas mileage for its luxury sedan is at least 23

## Question:

A car company claims that the mean gas mileage for its luxury 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 α = 0.05, test the company’s claim. Assume the population is normally distributed.

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.

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**Related Book For**

## Elementary Statistics Picturing The World

**ISBN:** 9780321911216

6th Edition

**Authors:** Ron Larson, Betsy Farber