The manufacturer of a daily dietary supplement claims that its product will help people lose weight. The company obtains a random sample of 950 adult males aged 20 to 74 who take the supplement and finds their mean weight loss after 8 weeks to be 0.9 pound with standard deviation weight loss of 7.2 pounds.
1. State the null and alternative hypothesis.
2. Test the hypothesis at the α = 0.1 level of significance. Is a mean weight los of 0.9 pounds significant?
3. Do you think that a mean weight loss of 0.9 pounds is worth the expense and commitment of a daily dietary supplement? In other words, does the weight loss have any practical significance?
4. Test the hypothesis at the α = 0.1 level of significance with n = 40 subjects. Assume the same statistics. Is a sample mean weight loss of 0.9 pound significantly more than 0 pounds? What do you conclude about the impact of large samples on the P-value?
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