Diets: Developers of diets like to advertise that their diets produce significant weight loss results. A new diet has been developed, and several studies done to investigate the effectiveness of the diet. In each study, the average number of pounds lost was of interest, and researchers would like to show that dieters lost a significant amount of weight. Assume weight loss is normally distributed. The researchers took a random sample of 64 dieters of the new diet and found that the average weight loss was 1 pound with a standard deviation of 5 pounds.

(A)Identify in this scenario. [ Select ] ["Average weight of all people in the sample.", "Average number of pounds lost by all people in the sample.", "True average number of pounds lost by all people in the population.", "True average weight of all people in the population."]

(B) Identify the appropriate null hypothesis to test the researchers' claim. [ Select ] [" >", " <", " =", " "] 0

(C) Identify the appropriate alternative hypothesis to test the researchers' claim. [ Select ] [" >", " =", " <", " "] [ Select ] ["3", "5", "4", "0", "2", "1"]

(D) Compute the test statistic. [ Select ] ["-4.8", "0", "1.6", "-3.2", "-6.4"]

(E) How many degrees of freedom are associated with your test statistic? [ Select ] ["63", "64", "65", "62"]

(F) The p-value corresponding to the correct test statistic is 0.0573. Based on this p-value, there is... [ Select ] ["borderline/weak evidence against the null hypothesis.", "substantial/strong evidence against the null hypothesis.", "extremely strong/overwhelming evidence against the null hypothesis.", "little to no evidence against the null hypothesis.", "moderate evidence against the null hypothesis."]

Sunflower seedlings: A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings than the standard height of 15.7 cm. The biologist treated a random sample of 33 seedlings with the extract and subsequently measured the height of those seedlings. Download the file: Height.jmp Download Height.jmp

(A) Using JMP, find the value of the sample mean. [ Select ] ["15.26", "15.41", "15.14", "15.56", "15.7"]

(B) Identify the null hypothesis: 0. [ Select ] [" <", " >", " ", " ="] [ Select ] ["15.14", "15.26", "15.41", "15.7"]

(C) Identify the alternative hypothesis: . [ Select ] [" =", " <", " ", " >"] [ Select ] ["15.41", "15.7", "15.14", "15.26"]

(D) Using JMP, report the test statistic. [ Select ] ["2.04", "0", "-3.99", "3.69", "-6.52"]

(E) Using JMP, report the -value. [ Select ] ["0.0002", "0.0004", "0.0247", "0.0008", "0.4995"]

(F) Based on the -value, select the best conclusion for the test in the context of the problem.