According to a report from a business intelligence company, smartphone owners are using an average of 24 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 4. Complete parts (a) through (d) below. a. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 23.5 and 24.5? 0.471 (Round to three decimal places as needed.) b. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 23 and 24? 0.394 (Round to three decimal places as needed.) c. If you select a random sample of 144 smartphone owners, what is the probability that the sample mean is between 23.5 and 24.5? (Round to three decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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According to a report from a business intelligence company, smartphone owners are using an average of 24 apps per
month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard
deviation is 4. Complete parts (a) through (d) below.
KIT
a. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 23.5
and 24.52
0.471 (Round to three decimal places as needed.)
b. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 23 and
24?
0.394 (Round to three decimal places as needed.)
c. If you select a random sample of 144 smartphone owners, what is the probability that the sample mean is between 23.5
and 24.5?
(Round to three decimal places as needed.).
Transcribed Image Text:According to a report from a business intelligence company, smartphone owners are using an average of 24 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 4. Complete parts (a) through (d) below. KIT a. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 23.5 and 24.52 0.471 (Round to three decimal places as needed.) b. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 23 and 24? 0.394 (Round to three decimal places as needed.) c. If you select a random sample of 144 smartphone owners, what is the probability that the sample mean is between 23.5 and 24.5? (Round to three decimal places as needed.).
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