Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 29

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 critical-value approach. $\text { (Note: } \left. \bar { x } _ { 1 } = 64.744 , \bar { x } _ { 2 } = 62.556 , s _ { 1 } = 2.192 , s _ { 2 } = 2.697 . \right)$

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Definitions:

Occipital

Relating to the occiput, the back part of the skull or head.

Ethmoid

The ethmoid bone is a spongy, cube-shaped bone that forms part of the nasal cavity and the orbits of the eyes, contributing to the structure of the skull.

Superior Nasal Conchae

The superior nasal conchae are structures within the nasal cavity that help in warming, humidifying, and filtering the air breathed in through the nose, enhancing the capability to sense smells.

Ethmoid

The ethmoid is a spongy bone located between the eyes, forming part of the cranial floor and part of the nasal cavity and orbit walls.