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
orchestra answered 1 year agoRelated 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...
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