In: Statistics and Probability
A study was conducted to determine if taking a popularly advertised herbal supplement will result in weight loss in obese males. A random sample of clinically obese males was obtained. Each subject was weighed before taking the supplement and again after 60 days using the supplement. Subjects were told not to alter their diet in any way during the study period. The following table shows the observed results for the 6 subjects:
Subject | 1 | 2 | 3 | 4 | 5 | 6 |
before (B) | 164 | 172 | 186 | 166 | 174 | 178 |
after (A) | 166 | 154 | 176 | 170 | 160 | 168 |
D=B-A | -2 | 18 | 10 | -4 | 14 | 10 |
15. What are the appropriate hypotheses to use in this case to determine if the herbal supplement is effective in achieving weight loss in obese males?
H0: Null Hypothesis: ( The herbal supplement is not effective in achieving weight loss in obese males)
HA: Alternative Hypothesis: ( The herbal supplement is effective in achieving weight loss in obese males) (Claim)
From D values, the following statistics are calculated:
n = 6
= 7.6667
sD = 8.8015
SE = sD/
= 8.8015/
= 3.5932
Test Statistic is given by:
t = 7.6667/3.5932
= 2.1337
Take = 0.05
ndf = 6 - 1 = 5
From Table, critical value of t = 2.0150
Since the calculated value of t = 2.1337 is greater than critical value of t = 2.0150, the difference is significant. Reject null hypothesis.
Conclusion:
The data support the claim that the herbal supplement is effective in achieving weight loss in obese males.
So,
Answer to question asked:
Question:
What are the appropriate hypotheses to use in this case to determine if the herbal supplement is effective in achieving weight loss in obese males?
H0: Null Hypothesis: ( The herbal supplement is not effective in achieving weight loss in obese males)
HA: Alternative Hypothesis: ( The herbal supplement is effective in achieving weight loss in obese males) (Claim)