Question

The manager of a hardware store wants to get an idea about the number of customers who enter the store between 12:00 p.m. and 4:00 p.m. on weekdays. She randomly selects hours between 12:00 p.m. and 4:00 p.m for two weeks and counts all the customers that enter. After the numbers are crunched, she reports a margin of error of 5.34 with a confidence level of 95%. What does that mean?

A) The manager is 95% sure that her sample mean is 5.35 away from the population mean
B) 95% of the time, the sample mean will equal the population mean 5.34.
C) on average 95% of samples would contain the population mean within 5.34 of the sample mean.
D) 95% of the sample means would be exactly 5.34 from the population mean

Answer 1

C) on average 95% of samples would contain the population mean within 5.34 of the sample mean.