Instruction 10-7 To Investigate the Efficacy of a Diet, a Random Sample

question 149

Short Answer

Instruction 10-7
To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up 4 weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 kilograms with the standard deviation of differences computed as 6.0 kilograms.
-Referring to Instruction 10-7,what is the 90% confidence interval estimate for the mean difference in weight before and after the diet?