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.
( , )
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started