SOLUTION: It has been found that the average time Internet users spend online per week is 18.3 hours. A random sample of 48 teenagers indicated that their mean amount of Internet time per

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Question 1161943: It has been found that the average time
Internet users spend online per week is 18.3 hours. A
random sample of 48 teenagers indicated that their
mean amount of Internet time per week was 20.9 hours
with a population variance of 32.49. At the 0.02 level of
significance, can it be concluded that the mean time
differs from 18.3 hours per week?
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.



Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: the mean time=18.3 hours/week
Ha: the mean time is not equal to 18.3 hours/wee
alpha=0.02 P{reject Ho|Ho true}
test statistic is a z
critical value: reject Ho if |z|>2.303
calculation z=(x bar-mean)/sigma/sqrt(48); sigma=sqrt (V)=5.7
z=2.6*sqrt(48)/.5.7
=3.16
reject Ho and conclude that the mean time spent on the Internet is differs from 18.3 hours per week.
p=0.0016