Fill in the missing values in the ANOVA tables below and answer the questions relating to each table and the provided plots. Df Sum Sq Mean Sq F-value p-value Group 2 27.159 7.2e-06 Residuals 94 189.58 Totals Table 1: Q9) ANOVA table. (a) How many treatment groups are there in this experiment and what was the total sample size? (b) What are Ho and HA relating to the F statistic in this table? (c) Let a = 0.001. Given the output of this table, what decision would you make about the hypotheses?

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Author:Amos Gilat
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Fill in the missing values in the ANOVA tables below and answer the questions relating
to each table and the provided plots.
Df Sum Sq Mean Sq F-value p-value
Group
2
27.159
7.2e-06
Residuals 94
189.58
Totals
Table 1: Q9) ANOVA table.
(a) How many treatment groups are there in this experiment and what was the total
sample size?
(b) What are Ho and HA relating to the F statistic in this table?
(c) Let a =
0.001. Given the output of this table, what decision would you make
about the hypotheses?
(d) What does the p-value in this table represent as a probability with respect to the
ANOVA hypotheses?
(e) A Shapiro-Wilk test returned a p-value of 0.82. Using this information and the
plots below, is there evidence that this analysis was not correctly done?
Normal Q-Q
Residuals vs Fitted
0130
813
....
00
039
039
081
T
81°
T
-2
-1
1
10.0
10.5
11.0
11.5
Theoretical Quantiles
Fitted values
aov(ANOV_X ~ group)
aov(ANOV_X ~ group)
Figure 1: Q9) QQ-plot.
Figure 2: Q9) Residual plot.
Standardized residuals
-2
E-
-1
1 2
Residuals
O 00 00 MDOD O O O
Transcribed Image Text:Fill in the missing values in the ANOVA tables below and answer the questions relating to each table and the provided plots. Df Sum Sq Mean Sq F-value p-value Group 2 27.159 7.2e-06 Residuals 94 189.58 Totals Table 1: Q9) ANOVA table. (a) How many treatment groups are there in this experiment and what was the total sample size? (b) What are Ho and HA relating to the F statistic in this table? (c) Let a = 0.001. Given the output of this table, what decision would you make about the hypotheses? (d) What does the p-value in this table represent as a probability with respect to the ANOVA hypotheses? (e) A Shapiro-Wilk test returned a p-value of 0.82. Using this information and the plots below, is there evidence that this analysis was not correctly done? Normal Q-Q Residuals vs Fitted 0130 813 .... 00 039 039 081 T 81° T -2 -1 1 10.0 10.5 11.0 11.5 Theoretical Quantiles Fitted values aov(ANOV_X ~ group) aov(ANOV_X ~ group) Figure 1: Q9) QQ-plot. Figure 2: Q9) Residual plot. Standardized residuals -2 E- -1 1 2 Residuals O 00 00 MDOD O O O
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