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7.7 According to a social media blog, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 28 minutes per visit. (Data extracted from "70+ Amaz- ing Tumblr Statistics & Facts," bit.ly/1FMioil.) Assume that time spent on Tumblr per visit is normally distributed and that the standard deviation is 5 minutes. If you select a random sam- ple of 25 visits, a. what is the probability that the sample mean is between 27.5 and 28.5 minutes? b. what is the probability that the sample mean is between 27 and 29 minutes? c. If you select a random sample of 100 visits, what is the proba- bility that the sample mean is between 27.5 and 28.5 minutes? d. Explain the difference in the results of (a) and (c).

7.7 According to a social media blog, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 28 minutes per visit. (Data extracted from "70+ Amaz- ing Tumblr Statistics & Facts," bit.ly/1FMioil.) Assume that time spent on Tumblr per visit is normally distributed and that the standard deviation is 5 minutes. If you select a random sam- ple of 25 visits, a. what is the probability that the sample mean is between 27.5 and 28.5 minutes? b. what is the probability that the sample mean is between 27 and 29 minutes? c. If you select a random sample of 100 visits, what is the proba- bility that the sample mean is between 27.5 and 28.5 minutes? d. Explain the difference in the results of (a) and (c).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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7.7 According to a social media blog, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 28 minutes per visit. (Data extracted from "70+ Amaz- ing Tumblr Statistics & Facts," bit.ly/1FMioil.) Assume that time spent on Tumblr per visit is normally distributed and that the standard deviation is 5 minutes. If you select a random sam- ple of 25 visits, a. what is the probability that the sample mean is between 27.5 and 28.5 minutes? b. what is the probability that the sample mean is between 27 and 29 minutes? c. If you select a random sample of 100 visits, what is the proba- bility that the sample mean is between 27.5 and 28.5 minutes? d. Explain the difference in the results of (a) and (c).
Transcribed Image Text:7.7 According to a social media blog, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 28 minutes per visit. (Data extracted from "70+ Amaz- ing Tumblr Statistics & Facts," bit.ly/1FMioil.) Assume that time spent on Tumblr per visit is normally distributed and that the standard deviation is 5 minutes. If you select a random sam- ple of 25 visits, a. what is the probability that the sample mean is between 27.5 and 28.5 minutes? b. what is the probability that the sample mean is between 27 and 29 minutes? c. If you select a random sample of 100 visits, what is the proba- bility that the sample mean is between 27.5 and 28.5 minutes? d. Explain the difference in the results of (a) and (c).
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