2. In a random sample of 87 college students, the average number of GroupMe messages handled in one day is 49. The 95% confidence interval for the mean number of messages handled by students daily is given as 47 to 51. a. What is the population standard deviation of the sample? b. If the number of samples were doubled, by what factor would the confidence interval change (keeping the same confidence level?)

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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2. In a random sample of 87 college students, the average number of GroupMe messages handled in
one day is 49. The 95% confidence interval for the mean number of messages handled by students
daily is given as 47 to 51.
a. What is the population standard deviation of the sample?
b. If the number of samples were doubled, by what factor would the confidence interval change
(keeping the same confidence level?)
Transcribed Image Text:2. In a random sample of 87 college students, the average number of GroupMe messages handled in one day is 49. The 95% confidence interval for the mean number of messages handled by students daily is given as 47 to 51. a. What is the population standard deviation of the sample? b. If the number of samples were doubled, by what factor would the confidence interval change (keeping the same confidence level?)
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