Question

Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a random sample of size n=100. Your sample mean x (with a bar over it) = 80.5 and your calculated maximum error of the estimate is E = 3.5. What does this suggest? Circle answer.

a. in 5% of all samples of this size, the mean is more than 84,

b. in 95% of all samples of this size, the mean is at least 77,

c. with a probability of 95% we can say the population mean is between 77 and 84,

d. We can say with 95% certainty that the population mean either exceeds 84 or is less than 77

e. There is a 91.5% - 98.5% probability that the population mean exceeds 80.5

Answer 1

It suggests that with a probability of 95% we can say the population mean is between 77 and 84,

Option C is correct.