In: Statistics and Probability
John surfs the website on a regular basis. Suppose the time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions, a. What is the probability that the sample mean is less than 8 minutes? b. What is the probability that sample mean is between 8 and 10 minutes? c. If you select a random sample of 16 sessions, what is the probability that a as sample mean is between 8 and 9 minutes? d. Explain the differences in the results of (b) and (c). Show your work!