Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

question 108

Essay

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-A researcher obtained independent random samples of men from two different towns. She recorded the weights
of the men. The results are summarized below: $$\begin{array} { l l } \frac { \text { Town A } } { \mathrm { n } _ { 1 } = 41 } & \frac { \text { Town B } } { \mathrm { n } _ { 2 } = 21 } \\\overline { \mathrm { x } _ { 1 } } = 165.1 \mathrm { lb } & \overline { \mathrm { x } } _ { 2 } = 159.5 \mathrm { lb } \\\mathrm { s } _ { 1 } = 25.2 \mathrm { lb } & \mathrm { s } _ { 2 } = 25.1 \mathrm { lb }\end{array}$$ Use a 0.05 significance level to test the claim that there is more variation in weights of men from town A than in
weights of men from town B.

---

Definitions:

Net Cash Provided

The surplus amount of cash generated by an entity's operations after accounting for all outgoing and incoming cash flows.

Comparative Balance Sheet

A financial statement that presents the assets, liabilities, and equity of a company at two or more different dates for the purpose of comparison.

Accumulated Depreciation

The total amount of depreciation expense that has been recorded for an asset since it was placed in service, reducing its book value.

Cash Dividends

are profit distributions made by a corporation to its stockholders in the form of cash.