Question

Your sister, a consumer food advocate, is concerned about the mean fat content of the burgers you typically eat for lunch. She purchases 12 burgers from the restaurant and submits it to an independent laboratory for analysis. The percentage of fat in each burger is given by the following data:

21 18 19 16 18 24 22 19 24 14 18 15

The owner of the restaurant claims that the mean fat content of its burgers is no more than 20%.Assume that the percentage fat in a burger is normally distributed with a standard deviation of 3.

a. Calculate the probability that the percentage fat in the burger is 20% or less.

b. Write down the sampling distribution of the sample mean.

c. Calculate the sample mean using the data points. Assuming that the true distribution has the population mean claimed by the owner, what is the probability that you would see that realization or less from the implied sampling distribution?

Answer 1

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