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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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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