Test the Hypothesis That $\mu _ { 1 } < \mu _ { 2 }$

question 75

Essay

Test the hypothesis that $\mu _ { 1 } < \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.05$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 35 & \mathrm { n } _ { 2 } = 42 \\\overline { \mathrm { x } } 1 = 19.44 & \overline { \mathrm { x } } 2 = 21.99 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

---

Definitions:

Foreclosure by Power of Sale

A method of foreclosure that allows a lender to sell the property without court supervision once a borrower defaults on mortgage payments.

Mortgagee

The creditor to whom property has been mortgaged to secure the performance of an obligation.

Expressly Conferred

Specifically granted or bestowed upon an individual or entity, often through formal or legal means.

Warehousemen's Liens

Legal claims that a warehouse operator can place on goods stored in their facility for unpaid storage fees or services.