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

question 145

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,if you were interested in testing against the two-tailed alternative that ${ } ^ { \mu } \bar { D }$ is not equal to zero at the $\alpha$ = 0.05 level of significance,you would__________ (reject/not reject)the null hypothesis.

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Definitions:

Workers Specialize

When workers focus on a narrow set of tasks or acquire specialized skills, leading to increased efficiency and productivity.

Command System

A type of economic system where production, investment, prices, and incomes are determined centrally by a government.

Laissez-Faire Capitalism

An economic system where private parties are free to conduct business transactions with minimal government intervention or regulation.

Division of Output

The allocation of the total quantity of goods or services produced among various consumers or markets.