10 The numbers in thousands of farms per state found in thre

10. The numbers (in thousands) of farms per state found in three sections of the country are listed next. Test the claim at a 0.05 that the mean number of farms is the same across these three geographic divisions Eastern third Middle third Western third 48 29 40 57 52 24 64 40 10 64 68 38

Solution

There are 3 groups here with a different number of observed values for each.

To test whether the mean number of farms is the same at 0.05% we use chi square test.

degrees of freedom = 8 (4x2)
probability = 0.000

As p value is less than alpha, reject null hypothesis.

There is significant difference between the mean number of farms