Question

A random sample of college basketball players had an average height of 66.35 inches. Based on this sample, (65.6, 67.1) found to be a 94% confidence interval for the population mean height of college basketball players. Select the correct answer to interpret this interval.A. We are 96% confident that the population mean height of college basketball palyers is 66.35 inches. B. We are 96% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches. C. A 96% of college basketball players have height between 65.6 and 67.1 inches. D. There is a 96% chance that the population mean height of college basketball players is between 65.6 and 67.1 inches.

Answer 1

B. We are 96% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches.

Explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

From a sample of college basketball players, the 96% confidence interval(small typing mistake on the problem I think, the options are all 96%) for the population mean height of college basketball players is (65.6, 67.1).

Interpretation: We are 96% sure that the true mean of all college basketball players is within this interval.

So the correct answer is:

B. We are 96% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches.