Question

A university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates returned the survey. The average salary was $25,000. The population standard deviation is $2,500. A 95% confidence interval is constructed. What does the confidence interval mean? A. The population mean is not in the interval. B. There is a 5% chance that the computed interval does not contain the population mean. C. The likelihood that any confidence interval based on a sample of 400 graduates will contain the population mean is 0.95. D. The population mean is in the interval.

Answer 1

Answer:

c) The likelihood that any confidence interval based on a sample of 400 graduates will contain the population mean is 0.95

Step-by-step explanation:

-A confidence interval is the degree of certainty that the value of a parameter lies within it.

-From the sample, the department is confident that 95% of the population will  be contained in the population.

-Hence, the correct choice is  C