Answer the given problem. Use the steps in hypothesis testing in presenting the results. A health researcher is interested in comparing 3 methods of weight loss: low calorie diet, low fat diet and high exercise regimen. He selected 15 moderately overweight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions ( in lbs) were observed after a one-month period. Test the hypothesis that the extent of weight reduction does not differ by type of weight-loss program. Low Fat 5 4 6 Low Calorie 5 High Exercise Regimen : 7 9 7 > For testing this hypothesis I use ANOVA (One Way Classification ) Hypothesis is : Null hypothesis All means are equal Alternative hypothesis : At least one mean is different Ho : H1=p2=p3 VS H1 : H1=H2=p3 Significance level : a = 0.05 One Way Anova Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 2 11.20 5.600 3.57 0.061 Error 12 18.80 1.567 Total 14 30.00 n= 15 Factor Mean StDev Low Fat 5.8 1.304 in in un Z Low Calorie 7.4 1.517 High excersise regimen 7.8 0.837 SOLUTION: F(factor df,error of ) = F(2,12)= 3.88 Fcal = 3.57 F, (2,12 ) > Fcal OR P_value>0.05 i. e P_value>a