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The following data are from a completely randomized design. Treatment Treatment Treatment A B 32 46 34 30 45 37 30 46 36 26
The following data are from a completely randomized design. Treatment Treatment Treatment A B 32 46 34 30 45 37 30 46 36 26 48 37 32 50 41 Sample mean 30 47 37 Sample variance 6.00 4.00 6.50 a. At the = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? Compute the values below (to 1 decimal, if necessary). Sum of Squares, Treatment 730 Sum of Squares, Error 66 Mean Squares, Treatment 365 Mean Squares, Error 5.5 Calculate the value of the test statistic (to 2 decimals). 66.36 The p-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 2 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 = 0.05. Difference Absolute Value A-B TA -C Conclusion - Select your answer - - Select your answer - - Select your answer B-C c. Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B (to 2 decimals). Enter negative values as negative numbers.
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