To investigate the effectiveness of a diet, a random sample of 16 female patients is drawn from a population of adult females using the diet. The weight of each individual in the sample is taken at the start and at the end of the diet. Assume that the population of differences in weight before and after the diet follows a normal distribution. Suppose the mean decrease in weights over all 16 subjects in the study is 4.0 pounds with the standard deviation of differences computed as 6.4 pounds. Let µx - µy = mean weight before the diet - mean weight after the diet.
In order to test if the diet is effective, what is the value of the test statistic?
Group of answer choices
2.5
2.0
1.8
1.3
Answer
Given that
dbar = 4 (mean difference)
sd (standard deviation for difference) = 6.4
sample size n = 16
test statistic t

option A is correct
To investigate the effectiveness of a diet, a random sample of 16 female patients is drawn...
A random sample of people is taken and their weight measured. A second random sample of people is taken and put on a diet. After 2 weeks, their weight is measured. Afterwards, a two sample t -test is performed to see if there is a difference in the population mean weight before and after using this diet. Why is the design of this study bad?
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