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Time spent using e-mail per session is normally distributed, with = 14 minutes and = 3 minutes. Complete parts (a) through (d). Click here
Time spent using e-mail per session is normally distributed, with = 14 minutes and = 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. a. If you select a random sample of 50 sessions, what is the probability that the sample mean is between 13.8 and 14.2 minutes? (Round to three decimal places as needed.) b. If you select a random sample of 50 sessions, what is the probability that the sample mean is between 13.5 and 14 minutes? (Round to three decimal places as needed.) c. If you select a random sample of 200 sessions, what is the probability that the sample mean is between 13.8 and 14.2 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 concentrated around the mean. Therefore, the probability of a region that includes the mean will always when the sample size increases. than in (a). As the standard de
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