Description
Many people believe that the average number of Facebook friends is 130. The population standard deviation is 38.2. A random sample of 50 high school students in a particular county revealed that the average number of Facebook friends was 162. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 130?
Explanation & Answer
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We have
Null Hypothesis:mean .m <= 130
Alternative hypothesis:Ha,m >130
Find the z test value:-
Given standard deviation,d=38.2
Standard error =d/sqrt (n) =38.2/(50)^(.5)=5.402
Calculating the z test
The critical value for the right end test is 1.645As the critical z value is less than z test therefore we reject the null hypothesis and accept the alternative hypothesis.
Thus there is sufficient evidence to conclude that the mean number of friends is greater than 130
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