Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 59

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-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).
$\begin{array} { r | r } \text { Country A } & \text { Country B } \\ \hline 64.1 & 65.3 \\ 66.4 & 60.2 \\ 61.7 & 61.7 \\ 62.0 & 65.8 \\ 67.3 & 61.0 \\ 64.9 & 64.6 \\ 64.7 & 60.0 \\ 68.0 & 65.4 \\ 63.6 & 59.0 \end{array}$
At the 10% significance level, do the data provide sufficient evidence to conclude that the mean height of women in country A is greater than the mean height of women in country B? Use the P-value approach. $\text { (Note: } \bar { x } _ { 1 } = 64.744 , \bar { x } _ { 2 } = 62.556 , s _ { 1 } = 2.192 , s _ { 2 } = 2.697 \text {.) }$

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Definitions:

Coniferous Forest

A biome characterized by evergreen trees with needles and cones, often found in cooler northern latitudes.

Natural Grassland

Ecosystems dominated by grasses and other non-woody plants, often subject to periodic fires and grazing.

Annual Precipitation

The total amount of rain, snow, sleet, or hail that falls in a geographic area over a year.

Drought

A prolonged period of abnormally low rainfall, leading to a shortage of water and affecting crops, livestock, and human populations.