Question

8.32 Researchers record the yields of corn, in bushels per plot, for four different varieties of corn, A, B, C, and D. In a controlled greenhouse experiment, the researchers randomly assign each variety to eight of 32 plots available for the study. The yields are listed here. A 2.5 3.6 2.8 2.7 3.1 3.4 2.9 3.5 B 3.6 3.9 4.1 4.3 2.9 3.5 3.8 3.7 C 4.3 4.4 4.5 4.1 3.5 3.4 3.2 4.6 D 2.8 2.9 3.1 2.4 3.2 2.5 3.6 2.7 a. Write an appropriate statistical model. b. Perform an analysis of variance on these data and draw your conclusions. Use ? = .05. Summary Findings: Use ANOVA, Assume Equal ? H1: At least one of the means ?A, ?B, ?C, ?D is different H0: ?A = ?B = ?C = ?D RR: p - value < ? = 0.05 Use Minitab/Stat/ANOVA/One-Way Method Null hypothesis All means are equal Alternative hypothesis Not all means are equal Significance level ? = 0.05 Equal variances were assumed for the analysis. Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 3 6.621 2.2070 11.05 0.000 Error 28 5.594 0.1998 Total 31 12.215 Interval Plot of A, B, ... 95% CI for the Mean Answer: Assuming Equal ? we get p - value = 0.000 < 0.05 ? Reject H0: There is significant evidence that not all mean yields are equal

          8.32 Researchers record the yields of corn, in bushels per plot, for four different varieties of corn, A, B, C, and D. In a controlled greenhouse experiment, the researchers randomly assign each variety to eight of 32 plots available for the study. The yields are listed here.
A 2.5 3.6 2.8 2.7 3.1 3.4 2.9 3.5
B 3.6 3.9 4.1 4.3 2.9 3.5 3.8 3.7
C 4.3 4.4 4.5 4.1 3.5 3.4 3.2 4.6
D 2.8 2.9 3.1 2.4 3.2 2.5 3.6 2.7
a. Write an appropriate statistical model.
b. Perform an analysis of variance on these data and draw your conclusions. Use ? = .05.
Summary Findings: Use ANOVA, Assume Equal ?
H1: At least one of the means ?A, ?B, ?C, ?D is different
H0: ?A = ?B = ?C = ?D
RR: p - value < ? = 0.05
Use Minitab/Stat/ANOVA/One-Way
Method
Null hypothesis All means are equal
Alternative hypothesis Not all means are equal
Significance level ? = 0.05
Equal variances were assumed for the analysis.
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 3 6.621 2.2070 11.05 0.000
Error 28 5.594 0.1998
Total 31 12.215
Interval Plot of A, B, ...
95% CI for the Mean
Answer: Assuming Equal ? we get
p - value = 0.000 < 0.05 ? Reject H0:
There is significant evidence that not all mean yields are equal

8.32 Researchers record the yields of corn, in bushels per plot, for four different varieties of corn, A, B, C, and D. In a controlled greenhouse experiment, the researchers randomly assign each variety to eight of 32 plots available for the study. The yields are listed here.
A 2.5 3.6 2.8 2.7 3.1 3.4 2.9 3.5
B 3.6 3.9 4.1 4.3 2.9 3.5 3.8 3.7
C 4.3 4.4 4.5 4.1 3.5 3.4 3.2 4.6
D 2.8 2.9 3.1 2.4 3.2 2.5 3.6 2.7
a. Write an appropriate statistical model.
b. Perform an analysis of variance on these data and draw your conclusions. Use ? = .05.
Summary Findings: Use ANOVA, Assume Equal ?
H1: At least one of the means ?A, ?B, ?C, ?D is different
H0: ?A = ?B = ?C = ?D
RR: p - value < ? = 0.05
Use Minitab/Stat/ANOVA/One-Way
Method
Null hypothesis All means are equal
Alternative hypothesis Not all means are equal
Significance level ? = 0.05
Equal variances were assumed for the analysis.
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 3 6.621 2.2070 11.05 0.000
Error 28 5.594 0.1998
Total 31 12.215
Interval Plot of A, B, ...
95% CI for the Mean
Answer: Assuming Equal ? we get
p - value = 0.000 < 0.05 ? Reject H0:
There is significant evidence that not all mean yields are equal

Added by Brian S.

Question

Please give Ace some feedback