Question

An experiment was conducted to estimate the average fat content of a quarter pounder with cheese. A random sample of 30 burgers produced a sample mean of 26 grams which resulted in a 95% confidence interval of ( 25 , 27) grams.Which of the following is the correct interpretation of this interval?

a. 95% of the quarter pounders with cheese sampled had a fat content between 25 and 27 grams.
b. We are 95% confident that the mean fat content of the sampled quarter pounders with cheese is between 25 and 27 grams.
c. We are 95% confident that the mean fat content of a quarter pounder with cheese is between 25 and 27 grams.
d. We are 95% confident that the range of fat content of a quarter pounder with cheese is between 25 and 27 grams.

Answer 1

c. We are 95% confident that the mean fat content of a quarter pounder with cheese is between 25 and 27 grams.

Explanation:

Confidence Interval:

Confidence level of x%

A sample of size n

Between a and b

Interpretation: We are x% sure that the population mean is between a and b

In this question:

95% confidence interval of the mean weight of burgers, from a sample of 30 is between 25 and 27.

So the interpretation is that we are 95% sure that the true mean weight of all burgers is betwen 25 and 27. So option c