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13.3 Practice The following data are from a completely randomized design. Treatment Treatment Treatment A B 32 45 32 30 44 35 30 45
13.3 Practice The following data are from a completely randomized design. Treatment Treatment Treatment A B 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 a=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 Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). The p-value is -Select your answer - 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 TA-B A-C TB-IC Conclusion Significant difference Significant difference Significant difference 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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