A Statistics Teacher Believes That Students in an Evening Statistics $\alpha = 0.01$

question 47

Essay

A statistics teacher believes that students in an evening statistics class score higher than the students in a day
class. The results of a special exam are shown below. Assume the two samples are random and independent.
Can the teacher conclude that the evening students have a higher score? Use $\alpha = 0.01$ $$\begin{array} { l l } \text {Day Students}&\text {Evening Students}\\\mathrm { n } _ { 1 } = 36 & \mathrm { n } _ { 2 } = 41 \\\overline { \mathrm { x } } 1 = 75 & \overline { \mathrm { x } } 2 = 78 \\\mathrm {~s} _ { 1 } = 5.8 & \mathrm {~s} _ { 2 } = 6.3\end{array}$$

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Definitions:

Hypothermic Alteration

Changes in physiological or biological functions as a result of reduced body temperature, associated with the condition of hypothermia.

Thermoregulation

The process by which an organism maintains an optimal body temperature despite environmental changes.

Low Birth Weight

A term used when a newborn weighs less than 2,500 grams (5 pounds, 8 ounces) at birth, which can lead to health issues.

Hyperthermia

Hyperthermia is a condition resulting from abnormally high body temperature, often due to environmental heat exposure or the body's inability to cool down properly.