The data in the following table resulted from an experiment that used completely

Question

The data in the following table resulted from an experiment that used completely randomized data. Treatment 1 Treatment 2 Treatment 3 3.8 1.2 4.1 5.5 2.3 5.4 2.0 4.8 3.8 1.3 0.7 2.2 Not te that y-bar, the average of the whole sample, is 3.092 Note that sum of all observations is 37.1 Note that sum of all (observations)A2 is 145.89 Note that T1. T2 and T3 are 16.9, 16 and 4.2, respectively Round to only 3 decimal places at all times! a) Complete the following ANOVA table by hand. (See workbook pg 29 for an example). Source df MS Treatments 2.93 Total FS

Explanation / Answer

The f-ratio value is 2.93071. The p-value is .104669. The result is not significant at p < .01.

As the p value is larger than 0.01, you should not reject the null hypothesis.

(a) fail to reject null hypothesis

(b) is not

Summary of Data Treatments 1 2 3 Total N 5 4 3 12 X 16.9 16 4.2 37.1 Mean 3.38 4 1.4 3.0917 X2 68.23 70.64 7.02 145.89 Std.Dev. 1.6664 1.4877 0.755 1.6839

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