Recently, 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 known to be $2,500.
Interpret the results of the 95% confidence interval.
A) The population mean is in the interval
B) The population mean is not in the interval
C) The likelihood that any confidence interval based on a sample of 100 graduates will contain the population mean is 0.95
D) There is a 5% chance that the computed interval does not contain the population mean.
E) Both C and D are correct

Question

Quizplus · Accepted Answer

The 95% confidence interval means that we are 95% confident that the true population mean is within the interval. There is a 5% chance that the computed interval does not contain the population mean.

Recently, a University Surveyed Recent Graduates of the English Department