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:

Amenorrhea

The absence of menstruation in women of reproductive age, which can be a symptom of health issues or physical exertion and stress.

DSM-5

The 5th edition of the Diagnostic and Statistical Manual of Mental Disorders, a standardized classification and diagnostic tool used by mental health professionals.

Binge/Purge Type

A subtype of certain eating disorders, where individuals engage in recurrent episodes of binge eating followed by purging to prevent weight gain.

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight, leading to restricted food intake and excessive weight loss.