Question

Question 1 (10 total marks; 2 marks each) Complete the ANOVA table for a completely randomized design below. Show all your work. Source df Treatments 16 SS 16 Error Total 41 42.4 MS F Question 2 (10 total marks; 5 marks each) Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he used organic fertilizer, and the third he used a chemical fertilizer. He wants to see if there is a difference in the mean weights of tomatoes from the different fields. The sample data is given below. The second table gives the results from an ANOVA test. Carl claims there is a difference in the mean weight for all tomatoes between the different fertilizing methods. 1 No Fertilizer I Tomato-Weight in Grams ? 86 103 111 137 120 115 116 124 121 120 115.3 Organic Fertilizer 135 147 130 137 139 127 149 118 133 134 134.9 Chemical Fertilizer 149 134 126 121 126 155 147 129 121 124 133.2 ANOVA Results F P-value 8.34575 0.00150679 a. Test Carl's claim at the 0.05 significance level. Is there sufficient evidence to conclude that the population means are not equal? Show all your work. b. Does your conclusion change at the 0.01 significance level?

          Question 1 (10 total marks; 2 marks each)
Complete the ANOVA table for a completely randomized design below. Show all your work.
Source
df
Treatments
16
SS
16
Error
Total
41
42.4
MS
F
Question 2 (10 total marks; 5 marks each)
Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he used organic
fertilizer, and the third he used a chemical fertilizer. He wants to see if there is a difference in the mean
weights of tomatoes from the different fields. The sample data is given below. The second table gives
the results from an ANOVA test. Carl claims there is a difference in the mean weight for all tomatoes
between the different fertilizing methods.
1
No Fertilizer
I
Tomato-Weight in Grams
?
86 103 111 137 120 115 116 124 121 120 115.3
Organic Fertilizer 135 147 130 137 139 127 149 118 133 134 134.9
Chemical Fertilizer 149 134 126 121 126 155 147 129 121 124 133.2
ANOVA Results
F
P-value
8.34575 0.00150679
a. Test Carl's claim at the 0.05 significance level. Is there sufficient evidence to conclude that the
population means are not equal? Show all your work.
b. Does your conclusion change at the 0.01 significance level?

Question 1 (10 total marks; 2 marks each)
Complete the ANOVA table for a completely randomized design below. Show all your work.
Source
df
Treatments
16
SS
16
Error
Total
41
42.4
MS
F
Question 2 (10 total marks; 5 marks each)
Carl the farmer has three fields of tomatoes, on one he used no fertilizer, in another he used organic
fertilizer, and the third he used a chemical fertilizer. He wants to see if there is a difference in the mean
weights of tomatoes from the different fields. The sample data is given below. The second table gives
the results from an ANOVA test. Carl claims there is a difference in the mean weight for all tomatoes
between the different fertilizing methods.
1
No Fertilizer
I
Tomato-Weight in Grams
?
86 103 111 137 120 115 116 124 121 120 115.3
Organic Fertilizer 135 147 130 137 139 127 149 118 133 134 134.9
Chemical Fertilizer 149 134 126 121 126 155 147 129 121 124 133.2
ANOVA Results
F
P-value
8.34575 0.00150679
a. Test Carl's claim at the 0.05 significance level. Is there sufficient evidence to conclude that the
population means are not equal? Show all your work.
b. Does your conclusion change at the 0.01 significance level?

Added by Michael J.

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