Question

According to a social media blog, time spent on a certain social networking website has a mean of 19 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 7 minutes. Complete parts (a) through (d) below a. If you select a random sample of 36 sessions, what is the probability that the sample mean is between 18.5 and 19.5 minutes? (Round to three decimal places as needed.) b. If you select a random sample of 36 sessions, what is the probability that the sample mean is between 18 and 19 minutes? (Round to threภู decimal places as needed.) c. If you select a random sample of 144 sessions, what is the probability that the sample mean is between 18.5 and 19.5 minutes? (Round to three decimal places as needed.) d. Explain the difference in the results of (a) and (c) 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 fall in a region that includes the population mean will always V than in (a). As the standard error ▼| values become more concentrated around the mean. Therefore, the probability that the sample mean will when the sample size increases.

Answer 1

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