Question

In: Statistics and Probability

John surfs the website on a regular basis. Suppose the time he spent surfing the website...

John surfs the website on a regular basis. Suppose the time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions, a. What is the probability that the sample mean is less than 8 minutes? b. What is the probability that sample mean is between 8 and 10 minutes? c. If you select a random sample of 16 sessions, what is the probability that a as sample mean is between 8 and 9 minutes? d. Explain the differences in the results of (b) and (c). Show your work!

Solutions

Expert Solution



Related Solutions

A growing concern of employers is time spent in activities like surfing the Internet and e-mailing...
A growing concern of employers is time spent in activities like surfing the Internet and e-mailing friends during work hours. The San Luis Obispo Tribune summarized the fundings from a survey of a large sample of workers in an article that ran under the headline "Who Goofs Off 2 Hours a Day? Most Workers, Survey Says" (August 3, 2006). Suppose that the CEO of a large company wants to determine whether the average amount of wasted time during an 8-hour...
A growing concern of employers is time spent in activities like surfing the Internet and e-mailing...
A growing concern of employers is time spent in activities like surfing the Internet and e-mailing friends during work hours. The San Luis Obispo Tribune summarized the fundings from a survey of a large sample of workers in an article that ran under the headline "Who Goofs Off 2 Hours a Day? Most Workers, Survey Says" (August 3, 2006). Suppose that the CEO of a large company wants to determine whether the average amount of waisted time during an 8-hour...
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 16 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 5 minutes. Complete parts​ (a) through​ (d) below. a. If you select a random sample 36 sessions, what is the probability that the sample mean is between 15.5 and 16.5 minutes? = 0.452 b. If you select a...
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 21 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 3 minutes. Complete parts​ (a) through​ (d) below. a. If you select a random sample of 16 ​sessions, what is the probability that the sample mean is between 20.5 and 21.5 ​minutes? nothing ​(Round to three decimal places...
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 22 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 4 minutes. Complete parts​ (a) through​ (d) below. a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 21.5 and 22.5 minutes? (Round to three decimal places) b.If...
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 18 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 4 minutes a. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 17.5 and 18.5 ​minutes?
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 18 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 4 minutes. a. If you select random sample of 25 sessions, what is the probability that the sample mean is between 17 and 18 minutes?
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 17 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 7 minutes. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 16.5 and 17.5 minutes? A global research study found that the majority of​ today's working women would...
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 19 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 44 minutes. Complete parts​ (a) through​ (d) below a. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 18.5 and 19.5 ​minutes? b. If you select a random...
According to a social media​ blog, time spent on a certain social networking website has a...
According to a social media​ blog, time spent on a certain social networking website has a mean of 22 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 7 minutes. Complete parts​ (a) through​ (d) below. a. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 21.5 and 22.5 ​minutes? ___ ​(Round to three decimal places...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT