THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Multiple Choice

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
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 µ_x - µ_y = mean weight before the diet - mean weight after the diet.
-In order to test if the diet is effective,what is the appropriate statistical test?

A) test of the difference between two normal population means using independent samples with known population variances
B) test of the difference between two normal population means using independent samples with unknown,but assumed to be equal,population variances
C) test of the difference between two normal population means using independent samples with unknown,but not equal,population variances
D) test of the difference between two normal population means using dependent (matched pairs) samples