Question: The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32 47 33 30 46 36 30 47 35 26
The following data are from a completely randomized design.
| Treatment | Treatment | Treatment | |
| A | B | C | |
| 32 | 47 | 33 | |
| 30 | 46 | 36 | |
| 30 | 47 | 35 | |
| 26 | 49 | 36 | |
| 32 | 51 | 40 | |
| Sample mean | 30 | 48 | 36 |
| 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 2 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 -value is - Select your answer -less than 0.01between 0.01 and 0.025between 0.025 and 0.05between 0.05 and 0.10greater than 0.10Item 6
What is your conclusion? - Select your answer -Conclude that not all treatment means are equalDo not reject the assumption that the treatment means are equalItem 7
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 A=0.05.
| Difference | Absolute Value | Conclusion |
| - Select your answer -Significant differenceNo significant differenceItem 10 | ||
| - Select your answer -Significant differenceNo significant differenceItem 12 | ||
| - Select your answer -Significant differenceNo significant differenceItem 14 |
c. Use Fisher's LSD procedure to develop a 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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