For the Following Data, Compute the Test Statistic and the Critical

question 109

Multiple Choice

For the following data, compute the test statistic and the critical value, and determine whether to reject $H _ { 0 }$ at the $\alpha = 0.05$ level.
$\begin{array} { l | l | l | l | l | l | l | l | l | l | l } \text { Sample A } & 76 & 61 & 71 & 80 & 77 & 78 & 63 & 60 & 77 & 79 \\\hline \text { Sample B } & 65 & 42 & 71 & 84 & 70 & 78 & 49 & 51 & 90 & 65\end{array}$

• A) S=7 , Critical value is 4, Do not reject \(H _ { 0 }\)
• B) S=6 , Critical value is 8, Reject \(H _ { 0 }\)
• C) S=7 , Critical value is 4, Reject \(H _ { 0 }\)
• D) S=6 , Critical value is 8, Do not reject \(H _ { 0 }\)

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Definitions:

Obesity

A medical condition characterized by excessive body fat that presents a risk to health, often resulting from a combination of consuming too many calories and insufficient physical activity.

Hormones

Chemical substances released into the blood and having effects on other parts of the body.

Weight Regulation

The process of maintaining a healthy body weight through a balance of energy intake and energy expenditure.

Body Mass Index (BMI)

A numerical value derived from an individual's weight and height, used as a screening tool to categorize underweight, normal weight, overweight, or obesity.