Carla IKU C × @MyNatlab Al Assignme x CSecure https://kaplan.brightspace.com/d2/
ID: 3352397 • Letter: C
Question
Carla IKU C × @MyNatlab Al Assignme x CSecure https://kaplan.brightspace.com/d2/le/content/47821/viewContent/3828281 /Niew pps 5 oolbar Inbox.com-Free We F Duck Life 4-Play it a Cneate Thread-MKT New Tab This Question: 6 pts 30f 5 (2 complete) This Quiz: 25 pts possib 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 7 minutes Complete parts (a) through (d) below a. If you select a random sample of 36 sessions, what is the probablity that the sample mean is between 20 5 and 21 5 minutes? (Round to three decimal places as needed ) b. If you select a random sample of 36 sessions, what is the probability that the sample mean ts between 20 and 21 minutes? (Rourd to three decimal places as needed) c. If you select a random sample of 144 sessions, what is the probability that the sample mean is between 20 5 and 215 minutes? (Round to three decimal places as needed ) d. Explain the difference in the resuits of (a) and (c) The sample sze in (c) is greater than the sample size in (a), so the standard error of the mean (or the standard deviation of the sampling distribution) in(c)sthan in (a) As the standard errorvalues become more concentrated around the mean Theretore, the probabity nat the sample mean will tat in a region that includes the population Enter your answer in each of the answer boxes
Explanation / Answer
a)
b)
c)
d)
........ of the sampling distribution in (c) is less than in (a). as the standard error
for normal distribution z score =(X-)/