Answer Exam Paper Essay Example | Topics and Well Written Essays - 1250 words

Answer Exam Paper - Essay Example Take interest in the F-stat and P-value. They are the only bits you need to validate any investigation (hypothesis). If asked to calculate physically, F=Mean sum of squares (between groups)/ MS (within groups). You realize that for this question we treat the Variation within groups as the ‘error group’, thus Error Sum of Squares (SSE) where we have SS (within groups) and Mean Error sum of squares (MSE).Now when you are required to use F-Stat to validate your test, you got to have two values of it. The first one you compute as in the case shown in the table below (the ANOVA). It is called the computed value of F or F-Computed (you went the long ANOVA way to compute it). To get the second one it is really easy, especially when you’ve got the table values. Take the degrees of freedom in the row you want to test AGAINST THE TOTAL, very important, and bear in mind the level of significance. For example here we shall have F (3, 79, 0.05). They flow in the order Numerato r, Denominator and Level of Significance (LoS). You call this the F-tabulated (derived from the tables). If F-computed>F-tabulated, reject the H0. The P-Value works slightly different. If the P-Value is much less than the Level of Significance, you reject the null hypothesis. ... e of Variation SS df MS F P-value F crit Between Groups 11115.24 3 3705.079 22.74625 1.31E-10 2.724944 Within Groups 12379.45 76 162.8875 Total 23494.69 79 Â   Â   Â   Â   a) F-Statistic= 22.74625 P-Value= 1.31?10-10 b) Let ?i denote the average service time for outlet i. H0: ?1= ?2= ?3= ?4 In order to test the hypothesis on means, the null hypothesis becomes the proposition that all means are equal. Thus by default, anything different will form the alternative hypothesis. c) Yes I would reject the null hypothesis at 5% Level of Significance. This is because the P-Value is smaller than the Level of significance. In order to answer this question, you either refer to the P-value or the F-statistic, when you have both it is your choice. Your Professor was good enough to facilitate your having both. Remember that if the P-value is smaller than the LoS, you reject H0; and if F-computed is greater than F-tabulated, you reject. THAT IMPLIES THAT P-VALUEF-TABULATED. IN BOTH CASES YOU REJ ECT THE NULL HYPOTHESIS. 1.31?10-10