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The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32 45 32 30 44 35 30 45 34 26
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32 45 32 30 44 35 30 45 34 26 47 35 32 49 39 Sample mean 30 46 35 Sample variance 6.00 4.00 6.50 a. At the level of significance, can we reject the null hypothesis that the means of the three treatments are equal? Compute the values below (to decimal, if necessary). Sum of Squares, Treatment 670 Sum of Squares, Error 66 Mean Squares, Treatment 335 Mean Squares, Error 5.5 Calculate the value of the test statistic (to decimals). 60.909 The -value is less than 0.01 What is your conclusion? Conclude that not all treatment means are equal b. Calculate the value of Fisher's LSD (to decimals). Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use . Difference Absolute Value Conclusion Significant difference Significant difference Significant difference
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