Food Meat Poultry Veal Tuna Yogurt Method 1 47 Source of Variation Treatments Blocks Error Total $5854 53 68 25 44 Bacteria Count Method 2 53 61 85 24 48 SS 650.2 3838.7 1279.3 12 5768.2 19 df 3 Method 3 36 48 55 20 38 MS 216.733 F 2.033 4 959.675 9.002 106.608 Method 4 68 75 45 27 46 P-value 0.1630 0.0013 F critical 5.953 5.412

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In recent years the irradiation of food to reduce bacteria and preserve the food longer has become more common. A company that performs this service has developed four different methods of irradiating food. To determine which is best, it conducts an experiment where different foods are irradiated and the bacteria count is measured. As part of the experiment the following foods are irradiated: meat, poultry, veal, tuna, and yogurt. The results are shown below.

True or False: It can be inferred at the 5% significance level that at least two of the treatments differ.

 

Food
Meat
Poultry
Veal
Tuna
Yogurt
Method 1
47
53
68
Source of Variation
Treatments
Blocks
Error
Total
25
44
Bacteria Count
Method 2
53
61
85
24
48
SS
650.2
3
3838.7 4
1279.3 12
5768.2 19
Method 3
36
48
55
20
38
MS
F
216.733 2.033
959.675
106.608
Method 4
68
75
45
27
46
P-value
0.1630
9.002 0.0013
F critical
5.953
5.412
Transcribed Image Text:Food Meat Poultry Veal Tuna Yogurt Method 1 47 53 68 Source of Variation Treatments Blocks Error Total 25 44 Bacteria Count Method 2 53 61 85 24 48 SS 650.2 3 3838.7 4 1279.3 12 5768.2 19 Method 3 36 48 55 20 38 MS F 216.733 2.033 959.675 106.608 Method 4 68 75 45 27 46 P-value 0.1630 9.002 0.0013 F critical 5.953 5.412
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