Question

A statistical report, based on a sample of 45, states that the 95% confidence interval for the mean salary of new junior recruits in a company is between $25,500 and $27,000. This can be interpreted (with 95% confidence) as

a. the salary of all samples of new junior recruits is estimated to be between $25,500 and $27,000.

b. the average salary of the sample of junior recruits is estimated to be between $25,500 and $27,000.

c. the salary of the population of junior recruits is estimated to be in the range $25,500 and $27,000.

d the salary of all new junior recruits is estimated to average between $25,500 and $27,000

Answer 1

d the salary of all new junior recruits is estimated to average between $25,500 and $27,000

Explanation:

We know that the confidence interval for the mean explains the interval regarding population mean. We construct the interval for population mean based on the sample observations. For the given scenario, the population is given as all new junior. So, the average salary of all new junior will lies within the given confidence interval. We are 95% confident that the salary of all new junior recruits is estimated to average between $25,500 and $27,000.