In Testing the Hypotheses $H _ { 0 }$ $\mu = 20$

question 86

Essay

In testing the hypotheses $H _ { 0 }$ : $\mu = 20$ . $H _ { 1 } : \mu < 20$ .
the following information was given: $\sigma = 8.1 , \quad n = 100 , \quad \bar { x } = 18.1 , \quad \alpha = 0.025$ .
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.

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Definitions:

Metabolism

The set of life-sustaining chemical reactions in organisms to convert food to energy, maintain cellular structure, and eliminate waste products.

Overweight

A condition characterized by having more body fat than is optimally healthy, often defined by a Body Mass Index (BMI) over 25.

Age-Related Condition

Health issues or diseases that become more common as individuals get older, such as arthritis, heart disease, Alzheimer's, and cancer.

Exercise

Exercise is physical activity that is planned, structured, and repetitive for the purpose of conditioning the body.