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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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Time spent using e-mail per session is normally dis-
tributed, with u = 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 u = 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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