A car company says that the mean gas mileage for its luxury sedan is at least 21

Question

A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 8

cars has a mean gas mileage of 18 mpg and a standard deviation of 3 mpg. At =0.10, test the company's claim. Assume the population is normally distributed.

Which sampling distribution should be used and why?

A.

Use a t-sampling distribution because the population is normal, and is unknown.

B.

Use a t-sampling distribution because the population is normal, and is known.

C.

Use a normal sampling distribution becausen>30.

D.

Use a t-sampling distribution because n<30.

E.

Use a normal sampling distribution because the population is normal, and is known.

F.

Use a normal sampling distribution because the population is normal, and is unknown.

Explanation / Answer

IN THIS QUESTION IT IS GIVEN THAT THE POPULATION IS NORMALLY DISTRIBUTED THAT MEANS THE SAMPLING METHOD TO BE USED WILL BE NORMAL SAMPLING METHOD AS THE POPULATION IS NORMAL. HAD THE CASE BEEN THAT THE POPULATION IS NOT NORMAL THEN WE COULD HAVE USE T SAMPLING AS THE N IS LESS THAN 30. BUT IN THE PRESENT SCENARIO OPTTION E IS THE ANSWER.

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