State What the Given Confidence Interval Suggests About the Two

question 50

Essay

State what the given confidence interval suggests about the two population means.
-A researcher was interested in comparing the heights of women in two different countries. Independent simple
random samples of 9 women from country A and 9 women from country B yielded the following heights (in
inches). $$\begin{array} { | c | c | } \hline \text { Country A } & \text { Country B } \\\hline 64.1 & 65.3 \\66.4 & 60.2 \\61.7 & 61.7 \\62.0 & 65.8 \\67.3 & 61.0 \\64.9 & 64.6 \\64.7 & 60.0 \\68.0 & 65.4 \\63.6 & 59.0 \\\hline\end{array}$$ Use a 0.10 significance level to test the claim that the mean height of women in country A is greater than the
mean height of women in country B. Use the P-value method of hypothesis testing. $$\text { (Note: } \bar { x } _ { 1 } = 64.744 \text { in., } \bar { x } _ { 2 } = 62.556 \text { in., } \mathrm { s } _ { 1 } = 2.192 \text { in., } \mathrm { s } _ { 2 } = 2.697 \text { in.) }$$

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Definitions:

Variable Costs

Costs that vary directly with the level of production or sales, such as materials and labor.

Breakeven Point

The point at which total cost and total revenue are equal, meaning no net loss or gain, and the business is not making a profit.

Price Ceiling

A government-imposed limit on the price charged for a product, to ensure that it remains affordable for consumers.

Price Floor

A minimum price set by the government or an organization for a particular good or service, below which it cannot be sold.