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Anorexia Treatment. Anorexia nervosa is a serious eating disorder, particularly among young women. The following data provide the weights, in pounds, of 17 anorexic young women before and after receiving a family therapy treatment for anorexia nervosa. [SOURCE: D. Hand et al. (ed.) A Handbook of Small Data Sets, London: Chapman \& Hall, 1994; raw data from B. Everitt (personal communication)!

Does family therapy appear to be effective in helping anorexic young women gain weight? Perform the appropriate hypothesis test at the 5%significance level.

Short Answer

Expert verified

The null hypothesis is rejected, and family treatment appears to be successful in assisting anorexic young women in gaining weight.

Step by step solution

01

Given Information

Given table is:

we have to explain whether the family therapy appears to be effective in helping anorexic young women gain weight.

02

Explanation

The null and alternative hypothesis are:

H0:μ1=μ2Hα:μ1≠μ2

The table is shown below:

The mean is

d¯=∑dn=-123.517=-7.2674

The standard deviation is:

sd=∑di2-∑di2nn-1=1716.85-(-1235)21717-1=7.1574

The formula of test statistics is t=d¯sdm

Substitute the given values:

t=-7.26477.152417=-4.185

The degree of freedom is :

dof=n-1=17-1=16

The critical value for level of significance is -1.746

Since, the value of test statistic is fall in the rejection region.

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