Imagine that there are 100 different researchers each studying the sleeping habits of patients with

apnoea. Each researcher takes a random sample of size 50 from the same population. Each researcher

is trying to estimate the mean hours of sleep that patients with apnoea get at night, and each one

constructs a 95% confidence interval for the mean. With greatest likelihood, how many of these 100

confidence intervals will NOT capture the mean?

(a) 1 or 2

(b) About 5

(c) About half

(d) 95 to 100