When 40 people used the Weight Watchers dies for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. (Show the solution) A. The null hypothesis is i. The mean weight loss is equal to 0. ii. The mean weight loss is not equal to 0. iii. The mean weight loss is greater than 0. iv. The mean weight loss is less than 0. B. The computed t-test statistic is i. 4.468 ii. 4.977 iii. 3.872 iv. 3.391 C. The critical/tabular t-test statistic is i. 2.426 ii. 1.684 iii. 1.685 iv. 2.423 D. Decision rule: i. Do not reject the null hypothesis. ii. Reject the null hypothesis. E. The final conclusion is i. The mean weight loss is not equal to 0 therefore Weight Watchers is effective. ii. The mean weight loss is less than 0 therefore Weight Watchers is not effective. iii. The mean weight loss is equal to 0 therefore Weight Watchers is not effective. iv. The mean weight loss is greater than 0 therefore Weight Watchers is effective
When 40 people used the Weight Watchers dies for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. (Show the solution)
A. The null hypothesis is
i. The mean weight loss is equal to 0.
ii. The mean weight loss is not equal to 0.
iii. The mean weight loss is greater than 0.
iv. The mean weight loss is less than 0.
B. The computed t-test statistic is
i. 4.468
ii. 4.977
iii. 3.872
iv. 3.391
C. The critical/tabular t-test statistic is
i. 2.426
ii. 1.684
iii. 1.685
iv. 2.423
D. Decision rule:
i. Do not reject the null hypothesis.
ii. Reject the null hypothesis.
E. The final conclusion is
i. The mean weight loss is not equal to 0 therefore Weight Watchers is effective.
ii. The mean weight loss is less than 0 therefore Weight Watchers is not effective.
iii. The mean weight loss is equal to 0 therefore Weight Watchers is not effective.
iv. The mean weight loss is greater than 0 therefore Weight Watchers is effective.
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