Conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion

1. A story involves four carpooling
students who missed a test and gave as an excuse a flat tire. On the makeup
test, the instructor asked the students to identify the tire that went flat. If
they really did have a flat tire, would they be able to identify the tire? The
author asked 41 other students to identify the tire they would select. The
results are listed below(expect for one student one chose the spare). Use a .05
significance level to test the author’s claim that the results fit a uniform
distribution. What does the result suggest about the ability of the four
students to select the same tire when they really didn’t have a flat?
Tire left front –selected by 11, right front—selected by 15, Left Rear—selected
by 8, Right Rear—selected by –6.
Use analysis of variance for the indicated test.

2. Poplar tree weights. Use a .05 significance level to test the claim that
four treatment categories yield poplar trees with the same weight. Is there a
treatment that appears to be most effective in the sandy and dry region?
No treatment Fertilizer Irrigation Fertilizer and Irrigation
.24 .92 .96 1.07
1.69 .07 1.43 1.63
1.23 .56 1.26 1.39
.99 1.74 1.57 .49
1.8 1.13 .72 .95

3. Pages were selected from Clancy, Rowling, and Tolstoy. The Flesch reading
ease scores are listed below. Use a .05 significance level to test the claim
that the samples are form populations with the same mean. Do the books appear
to have different levels of difficulty?
Clancy 58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9
Rowling 85.3 84.3 79.5 82.5 80.5 80.2 84.6 79.2 70.9 78.6 86.2 74 83.7
Tolstoy 69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6