Provided That at Least One of the Sample Sizes M $\mu _ { 1 } - \mu _ { 2} ,$

question 15

Essay

Provided that at least one of the sample sizes m and n of two independent samples X and Y is small, and that the corresponding populations are both normally distributed with unknown values of the population variances, then a confidence interval for the difference between the two population means, $\mu _ { 1 } - \mu _ { 2} ,$ with a confidence level of $100 ( 1 - \alpha ) \%$ is __________.

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Definitions:

Piloerection

The involuntary erection or standing up of hairs on the skin due to cold, fear, or emotional stimuli, commonly known as goosebumps.

Perspiration

Perspiration, also known as sweating, is the release of a salty fluid from the body's sweat glands as part of the process of regulating body temperature.

Cold Application

A method used to reduce swelling and pain by applying ice or cold packs to the affected area.

Sprain

An injury to a ligament caused by tearing or stretching beyond its capacity, often occurring in ankles, knees, or wrists.