Question

The manufacturer of a new hybrid sports utility vehicle (SUV) states that it gets an average of 48 miles per gallon (mpg) on the highway. A consumer group suspects that perhaps the new SUV’s gas efficiency is lower than the manufacturer’s statement. Assume that the gas efficiency of the SUV is approximately normally distributed. The consumer group randomly tests 13 of the new SUV’s under similar highway conditions and obtains the following results: 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50
1a) Write the hypotheses statements below to test the consumer group’s claim

2) Explain what type of hypothesis testing you will perform and whether conditions are met.

3a) Test this hypothesis using a significance level of α = 5%. Clearly label a sketch with appropriate shading and calculate the test statistic

4 Would you reject or fail to reject the null hypothesis?

5 Using a significance level of α = 5%, write a conclusion in the context of this problem

A friend is looking for an SUV that averages 48 mpg or more on the highway. Would you advise your friend to purchase this new model SUV? Yes or No

Answer 1