Pages were randomly selected by three authors (A, B, and C). The Big Reading Company scores are listed below. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the books appear to have different reading levels of difficulty?
Identify the null hypothesis, alternative hypothesis, test statistics value, P-value, and the conclusion which is REJECT or FAIL TO REJECT H0, there IS or IS NOT sufficient evidence to reject the claims that the three books (A, B, and C) have the same mean score.
Author A = 58.2 - 73.4 - 73.1 - 64.4 - 72.7 - 89.2 - 43.9 - 76.3 - 76.4 - 78.9 - 69.4 - 72.9
Author B = 85.3 - 84.3 - 79.5 - 82.5 - 80.2 - 84.6 - 79.2 - 70.9 - 78.6 - 86.2 - 74.0 - 83.7
Author C = 69.4 - 64.2 - 71.4 - 71.6 - 68.5 - 51.9 - 72.2 - 74.4 - 52.8 - 58.4 - 65.4 - 73.6