According to a report from a business intelligence company, smartphone owners are using an average of 23 apps per month. Assume that number of apps used per month by smartphone owners is no distributed and that the standard deviation is 5. Complete parts (a) through (d) below. a. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 22.5 and 23.5? 0.311 (Round to three decimal places as needed.) b. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 22 and 23? (Round to three decimal places as needed.)

According to a report from a business intelligence company, smartphone owners are using an average of 23 apps per month. Assume that number of apps used per month by smartphone owners is no distributed and that the standard deviation is 5. Complete parts (a) through (d) below. a. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 22.5 and 23.5? 0.311 (Round to three decimal places as needed.) b. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 22 and 23? (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

100%

According to a report from a business intelligence company, smartphone owners are using an average of 23 apps per month. Assume that number of apps used per month by smartphone owners is normally
distributed and that the standard deviation is 5. Complete parts (a) through (d) below.
a. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 22.5 and 23.5?
0.311 (Round to three decimal places as needed.)
b. If you select a random sample of 16 smartphone owners, what is the probability that the sample mean is between 22 and 23?
(Round to three decimal places as needed.)

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Follow-up Question

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

less than in (a).

Please select the correct answers below (Increases or Decreases) for each.

As the standard error (Increases/ Descreases) values become more concentrated around the mean. Therefore, the probability that the sample mean will fall close to the population mean will always (Increase / Decrease) when the sample size increases.

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