Anorexia nervosa is a serious eating disorder, particularly among young women. The data in Chapter 10 data sets, problem #10.157, provides the weights, in pounds, of 17 anorexic young women before and after receiving a family therapy treatment for anorexia nervosa. [SOURCE: Hand et al. (ed.) A Handbook of Small Data Sets, London: Chapman & Hall, 1994.] Does family therapy appear to be effective in helping anorexic young women gain weight? Perform the appropriate hypothesis test at the 5% significance level.
BEFORE AFTER
83.3 94.3
86.5 91.5
82.5 91.9
86.7 100.3
79.6 76.7
87.3 98
76.9 76.8
94.2 101.6
73.4 94.9
80.5 75.2
81.6 77.8
83.8 95.2
82.1 95.5
77.6 90.7
83.5 92.5
89.9 93.8
86 91.7
a. Determine and state the type of test that should be performed to answer the above question (two-sample t-test, paired t-test, or ANOVA).
b. State the null and alternative hypotheses.
c. What is the value of the test statistic that you obtained from the software?
d. What is the p-value obtained from the software?
e. What is your conclusion?