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 $$\begin{array} { l l l l l l l l l l l l } 18 & 23 & 25 & 23 & 21 & 21 & 23 & 24 & 27 & 31 & 24 & 20 \\20 & 23 & 19 & 25 & 24 & 27 & 23 & 20 & 20 & 21 & 25 & 24 \\23 & 28 & 20 & 19 & 23 & 24 & 20 & 27 & 21 & 29 & 30 &\end{array}$$

---

Definitions:

Employee Collusion

When two or more employees work together secretly and deceitfully to commit fraud or theft against their employer, often undermining the employer's interests.

Internal Control

Procedures and policies implemented by a company to ensure the integrity of financial and accounting information, promote accountability, and prevent fraud.

Signature Card

A document that a bank keeps on file with the signatures of all the authorized signatories for an account.

Bank Checking Account

A bank account that allows for numerous withdrawals and deposits, often used for daily transactions.