A hot dog manufacturer asserts that one of its brands of hot dogs has an average fat content of 18grams per hot dog. Fat contents in hot dogs from this manufacturer follow an approximately normal distribution with a standard deviation of 1.1grams. Define the statisticx ̅ = mean fat content in a random sample of 10 hot dogs.
-Is the sampling distribution of approximately normal?
A) No, since the sample size is too small for the Central Limit Theorem to hold.
B) No, since we do not know if the population of hot dogs is more than 20 times the size of the sample.
C) Yes, since the population of fat contents in hot dogs is approximately normal.
D) We do not have enough information to determine if the sampling distribution of is approximately normal.

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean is approximately normal because the population distribution is approximately normal, regardless of the sample size.

A Hot Dog Manufacturer Asserts That One of Its Brands