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## Statistics

Hypothesis testing for one-way ANOVA.

An experiment was conducted to evaluate the effectiveness of five different weight reducing agents. A random sample of 50 males was at random divided into five equal groups, with preparation A assigned to the first group, B to the second, and so on. Each person in the experiment was given a pre-study physical and told how numerous pounds overweight he was. A comparison of the mean number of pounds overweight for the groups showed no significant differences. The study was then begun, with each group taking the prescribed preparation for a fixed period of time. Finally of the study period, weight losses were recorded. The data are given here.

 A 12.4 10.7 11.9 11 12.4 12.3 13 12.5 11.2 13.1 B 9.1 11.5 11.3 9.7 13.2 10.7 10.6 11.3 11.1 11.7 C 8.5 11.6 10.2 10.9 9 9.6 9.9 11.3 10.5 11.2 D 8.7 9.3 8.2 8.3 9 9.4 9.2 12.2 8.5 9.9 E 12.7 13.2 11.8 11.9 12.2 11.2 13.7 11.8 11.5 11.7

A. Test for important differences among weight losses for the five diets, and perform all pair wise comparisons using

a. Fisher's LSD

b. Tukey's procedure

B. Which procedure in part A is most appropriate. Give reasons for your selection.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M919774

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