A global health researcher is interested in a Vitamin A supplementation program
ID: 3332345 • Letter: A
Question
A global health researcher is interested in a Vitamin A supplementation program for third world nations with a high proportion of growth stunting. In order to test the intervention, the researcher randomly assigns two groups to receive either the Vitamin A supplementation or a placebo. Suppose a simple random sample of 247 people in the treatment arm have an average height of 66 inches with a sample deviation of 7.9 and a simple random sample of 289 in the control arm have an average height of 59 inches with a standard deviation of 6.8
a. Do the conditions met above meet the assumptions for a two- sample independent t-Test to be conducted? why or why not?
b. before carrying out the analysis, discuss any ethical considerations that should be mentioned.
Explanation / Answer
a. No, the above conditions do not meet the assumptions for two-sample independent t-test because for two-sample independent t-test to hold, we must have:
1. The distribiutions of the groups receiving Vitamin A and Placebo must be normal.
2. The variances of the two groups must be equal.
These two conditions are not mentioned specifically in this problem. Hence, we can't conclude that two-sample independent t-test can be conducted.
2. Before carrying out the analysis, we must test for:
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