Question

For the United States, the mean monthly Internet bill is $65.72 per household. A sample 50 households in a southern state showed a sample mean of $63.22. Using a standard deviation of $6.72, and a significance level of .05, with a resulting p-value of .005689, are these household significantly smaller than the mean?

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = -2.6306

Test Criteria :-
Reject null hypothesis if


Result :- Reject null hypothesis

P value = P ( t > 2.6306 ) = 0.00568

Reject null hypothesis if P value < level of significance

P value = 0.00568 > 0.05, hence we reject null hypothesis

Conclusion :-  H1 :-  

There is sufficient evidence to support the claim that these household significantly smaller than the mean.