Random samples of several days' sales of handguns per day in three different states are shown below. We are interested in determining whether or not there is a significant difference in the average sales of guns in the three states. Please note the sample sizes are not equal.

?
Tennessee
Kentucky
Texas
12
15
16
13
19
18
17
20
 10
  18
  ?
?
?
?
?
?
??
a.Compute the overall mean .b.State the null and alternative hypotheses to be tested.c.Show the complete ANOVA table for this test including the test statistic.d.The null hypothesis is to be tested at the .05 level. Determine the critical value for this test. What do you conclude?e.Determine the p-value and use it for the test.

What will be an ideal response?


a. 15.8
b.H0: There is no significant difference among the means of the populations.Ha: At least one mean is different from the others.?c.

Source of VariationSSdfMSF
Between Groups33.6216.81.90
Within Groups6278.857 
Total95.69??
?d. Critical F = 4.74. Since 1.90 < 4.74, do not reject H0 and conclude there is no evidence of any difference among the means.?e. p-value > .10, therefore do not reject H0 (actual p-value using Excel is .2197).

Business

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