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.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 Questions

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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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Follow-up Question

If you select a random sample of 144 smartphone owners, what is the probability that the sample mean is between

22.5 and 23.5?

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