Date: 11/09/21 Course: MAT 102 OLC FA21 Limit Theorem 2. Time spent using e-mail per session is normally distributed, with u = 12 minutes and o = 3 minutes. Complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table.2 a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 11.8 and 12.2 minutes? (Round to three decimal places as needed.) b. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 11.5 and 12 minutes? (Round to three decimal places as needed.) c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 11.8 and 12.2 minutes? (Round to three decimal places as needed.) d. Explain the difference in the results of (a) and (c). Choose the correct answer below. The sample size in (c) is greater than the sample size in (a), so the standard error of the mean (or the standard deviation of the sampling distribution) in (c) is (1) than in (a). As the standard deviation (2) ., values become (3) concentrated around the mean. Therefore, the probability of a region that includes the mean will always (4). when the sample size increases. 1: Area under the cumulative standardized normal distribution from -infinity to Z