State What the Given Confidence Interval Suggests About the Two

question 92

Multiple Choice

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) .

$\begin{array}{c|c}\text { Country A } & \text { Country B } \\\hline 65.3 & 64.1 \\60.2 & 66.4 \\61.7 & 61.7 \\65.8 & 62.0 \\61.0 & 67.3 \\64.6 & 64.9 \\60.0 & 64.7 \\65.4 & 68.0 \\59.0 & 63.6\end{array}$

The following $90 \%$ confidence interval was obtained for $\mu _ { 1 } - \mu _ { 2 }$ , the difference between the mean height of women in country A and the mean height of women in country B. $- 4.34$ in. $< \mu _ { 1 } - \mu _ { 2 } < - 0.03$ in What does the confidence interval suggest about the population means?

• A) The confidence interval includes 0 which suggests that the two population means might be equal. There doesn't appear to be a significant difference between the mean height of women from country A and the mean height of women from country B.
• B) The confidence interval includes only negative values which suggests that the mean height of women from country A is greater than the mean height of women from country B.
• C) The confidence interval includes only negative values which suggests that the mean height of women from country A is smaller than the mean height of women from country B.
• D) The confidence interval includes only negative values which suggests that the two population means might be equal. There doesn't appear to be a significant difference between the mean height of women from country A and the mean height of women from country B.

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Definitions:

International Cartel

An agreement amongst businesses or organizations from different countries aimed at controlling production, setting prices, or limiting competition in the international market.

Marginal Cost

The increment in comprehensive cost derived from the fabrication of an additional unit of a product or service.

Production Rates

The speed at which goods are manufactured or produced within a given time frame, often measured to assess efficiency and productivity levels.

Kinked Demand Curve

A theory in economics which suggests that price increases will not be followed by competitors in an oligopolistic market, leading to a situation where a firm faces a steeper demand curve for price increases and a more elastic demand curve for price decreases.