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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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