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Fill in the following blanks. The following data are from a completely randomize

ID: 3362005 • Letter: F

Question

Fill in the following blanks.

The following data are from a completely randomized design. In the following calculations, use = 0.05 Treatment Treatment Treatment 61 46 56 37 50 81 73 69 52 62 41 56 148.67 s2 114.00 91.33 a. Use analysis of variance to test for a significant difference among the means of the three treatments. Sum of Squares Degrees (to whole number) of Freedom (to whole number) (to 2 decimals) (to 3 decimals) p-value Source of Variation Treatments Error Total Mean Square The p-value is I between 0.01 and 0.025 ! What is your conclusion? Conclude that not all treatment means are equal. b. Calculate the value of Fisher's LSD (to 2 decimals) Use Fisher's LSD procedure to determine which means are different. Difference Absolute Value Conclusion 1 2 Significant difference No significant difference Significant difference #2--3

Explanation / Answer

b) for 0.05 level and 12 degree of freedom critical value of t=2.1788

MSE =89 ; n=5

fisher;s LSD = t*(2*MSE/n)1/2 =12.96

differerence x1bar-x2bar =27

differerence x1bar-x3bar =6

differerence x2bar-x3bar =21

Source of Variation SS df MS F P-value treatments 2010 2 1005 11.36 0.002 error 1062 12 89.0 Total 3072 14
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