A Statistics Teacher Wanted to See Whether There Was a Significant

question 111

Essay

A statistics teacher wanted to see whether there was a significant difference in ages between day students and
night students. A sample of 35 students is selected from each group. The data are given below. Assume the two
samples are random and independent. Test the claim that there is no difference in age between the two groups.
Use α $\alpha = 0.05$ Day Students $$\begin{array} { l l l l l l l l l l l l } 22 & 24 & 24 & 23 & 19 & 19 & 23 & 22 & 18 & 21 & 21 & 18 \\18 & 25 & 29 & 24 & 23 & 22 & 22 & 21 & 20 & 20 & 20 & 27 \\17 & 19 & 18 & 21 & 20 & 23 & 26 & 30 & 25 & 21 & 25 &\end{array}$$ Evening Students $$\begin{array} { l l l l l l l l l l l l } 18 & 23 & 25 & 23 & 21 & 21 & 23 & 24 & 27 & 31 & 24 & 20 \\20 & 23 & 19 & 25 & 24 & 27 & 23 & 20 & 20 & 21 & 25 & 24 \\23 & 28 & 20 & 19 & 23 & 24 & 20 & 27 & 21 & 29 & 30 &\end{array}$$

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Definitions:

Independent Contractor

An individual or entity contracted to perform work for or provide services to another entity as a non-employee.

Employee

An individual who performs work under the direction and control of an employer in exchange for compensation.

Reasonable Skill

The level of competence that one can expect from a person with the standard abilities and knowledge in a particular field.

Breach of Contract

Occurs when one party fails to fulfill their obligations under a contract without a lawful excuse.