We have sets of data describing the weights of tuna caught at three separate sites. Area 1 Area

Question: We have sets of data describing the weights of tuna caught at three separate sites.

Area 1	Area 2	Area 3
57.3	77.2	46.1
25.7	43	58.3
53.2	77.2	60.5
35.7	63.9	54.9
30.5	59	59.3
34.9	54.4	59.2
50.1	42	57.1
68.4	41.9	53.3
46.1	39	56.3
37	50.7	58.6
37.6	55.2	38.5
28.3	80.4	44.5
27.5	50.6	55
25.5	48.1	31.3
83.6	75.3	56.8
29.2	49.9	51.7
39.3	22.6	57.2
79.9	41.9	5.2
27.2	62.6	36.1
29.8	50.5	45.6
50.3	40	10.1
28.8	42.6	50.9
47.6	42.2	34.1
66.3	44.2	5.9
33	72.2	53.9

Run an ANOVA test on the mean weights at the three sites. In running an ANOVA, some would say that as long as one can assume equal population variances, the test for Normality involves simply checking the Normality of the residuals.

a) Run an ANOVA test to see if there is any difference in the mean weights at the three sites. [6]

b) Be sure to save the residuals.

What does the term mean in this test? [2]

c) Stack all the sites of residuals and then test this combined set for Normality. What do you conclude? [2]

d) Now, I want you to provide arguments for why the ANOVA test is NOT the appropriate one. Why did your findings from the residuals give an opposite conclusion? HINT: Use histograms and descriptive statistics for EACH group. [6]

e) Run the appropriate test. [6]

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