Question
Ten people went on a diet for a month. The weight losses experienced (in pounds) are...
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
Homework Answers
Answer #1
| Values ( X ) |
 |
|
| 3 | 0.64 | |
| 7 | 10.24 | |
| 10 | 38.44 | |
| 0 | 14.44 | |
| 3 | 0.64 | |
| 7 | 10.24 | |
| 5 | 1.44 | |
| 5 | 1.44 | |
| 1 | 7.84 | |
| -3 | 46.24 | |
| Total | 38 | 131.6 |
Mean 
Standard deviation 
To Test :-
H0 :- 
H1 :- 
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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