Ten people went on a diet for a month. The weight losses experienced (in pounds) are given below. The negative weight loss is a weight gain. Test the hypothesis that the mean weight loss was more than 0, using a significance level of 0.05. Assume the population distribution is Normal. 3, 7, 10, 0, 3, 7, 5, 5, 1, and negative 3
|Values ( X )|
To Test :-
Test Statistic :-
t = 3.1425
Test Criteria :-
Reject null hypothesis if
Result :- Reject null hypothesis
Decision based on P value
P - value = P ( t > 3.1425 ) = 0.0059
Reject null hypothesis if P value < level of significance
P - value = 0.0059 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis
There is sufficient evidence to support the claim that the mean weight loss was more than 0 at 5% significance level.
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