Question

A random sample of college basketball players had an average height of 67.45 inches. Based on this sample, (64.9, 69.2) found to be a 95% confidence interval for the population mean height of college basketball players. Select the correct answer to interpret this interval.a. 95% of college basketball players have height between 64.9 and 69.2 inches. b. There is a 95% chance that the population mean height of college basketball players is between 64.9 and 69.2 inches. c. We are 95% confident that the population mean height of college basketball players is between 64.9 and 69.2 inches. d. We are 95% confident that the population mean height of college basketball players is 67.45 inches.

Answer 1

Answer:

The correct option is (C).

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the population mean height of college basketball players is, (64.9, 69.2).

The interval (64.9, 69.2) implies that the probability that the true value of the parameter, mean height of college basketball players, is included in the interval is 0.95.

Or, there is a 95% confidence that the true mean height of college basketball players, is included in the interval (64.9, 69.2).

Thus, the correct option is (C).