Instruction 10-13 to Investigate the Efficacy of a Diet,a Random Sample of Sample

question 11

Short Answer

Instruction 10-13
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 10-13,the critical value for a one-tailed test of the null hypothesis of no difference at the α = 0.05 level of significance is ________.

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Definitions:

Ovaries/Testes

The primary reproductive organs in females and males, respectively, responsible for producing gametes (eggs in females, sperm in males) and hormone production.

Prefrontal Cortex

A region of the brain located in the frontal lobes, involved in complex cognitive behaviors, decision-making, and moderating social behavior.

Limbic System

A complex system of nerves and networks in the brain, involved in basic emotions and drives such as fear, pleasure, and anger.

Amygdala

A section of the brain that is part of the limbic system and is crucial for emotion processing, decision-making, and memory.