a. what is the probability that the sample mean is between 7.8 and 8.2 minutes? b. what is the probability that the sample mean is between 7.5 and 8 minutes? c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes? d. Explain the difference in the results of (a) and (c).

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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Time spent using e-mail per session is normally dis-
tributed, with µ = 8 minutes and o = 2 minutes. If you se-
lect a random sample of 25 sessions,
a. what is the probability that the sample mean is between
7.8 and 8.2 minutes?
b. what is the probability that the sample mean is between
7.5 and 8 minutes?
c. If you select a random sample of 100 sessions, what is
the probability that the sample mean is between 7.8 and
8.2 minutes?
d. Explain the difference in the results of (a) and (c).
Transcribed Image Text:Time spent using e-mail per session is normally dis- tributed, with µ = 8 minutes and o = 2 minutes. If you se- lect a random sample of 25 sessions, a. what is the probability that the sample mean is between 7.8 and 8.2 minutes? b. what is the probability that the sample mean is between 7.5 and 8 minutes? c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes? d. Explain the difference in the results of (a) and (c).
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