Question

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: beef, chicken, turkey, eggs, and milk. The results are shown below. Bacteria Count Food Method 1 Method 2 Method 3 Method 4 Beef 47 53 36 68 Chicken 53 61 48 75 Turkey 68 85 55 45 Eggs 25 24 20 27 Milk 44 48 38 46 Can the company infer at the 1% significance level that differences in the bacteria count exist among the four irradiation methods? Can the company infer at the 1% significance level that differences in the bacteria count exist among the different types of food?

          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: beef, chicken, turkey, eggs, and milk. The results
are shown below.
Bacteria Count
Food
Method 1
Method 2
Method 3
Method 4
Beef
47
53
36
68
Chicken
53
61
48
75
Turkey
68
85
55
45
Eggs
25
24
20
27
Milk
44
48
38
46
Can the company infer at the 1% significance level that
differences in the bacteria count exist among the four irradiation
methods?
Can the company infer at the 1% significance level that
differences in the bacteria count exist among the different types
of food?

Added by Alan J.

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