An engineer is interested in how the mean absorption of mois
An engineer is interested in how the mean absorption of moisture in concrete varies among 5 different concrete aggregates. The engineer decides to test six samples for each aggregate, requiring a total of 30 samples to be tested. The samples are exposed to moisture for 48 hours. A normal probability plot shows the samples from each aggregate come from a normal distribution and Bartlett\'s test shows the standard deviations of all 5 groups are equal. Suppose you do not have the data, but you are given the sum of squares between groups, sum of squares total and the p-value. Complete the ANOVA table below. Conduct a hypothesis test using all steps learned previously to determine if the mean absorptions differ between the five aggregates. Use alpha = 0.01 level of significance. Using the results from Tukey\'s Pairwise Multiple Comparison test below, which aggregates are significantly different from each other? Analysis of Variance is used to compare the means of 3 or more groups in order to control. Analysis of Variance divides the variability of data into two parts. What are the two types of variability? If the ratio of MS_B to MS_w is much greater than 1, this indicates To test the hypothesis is that the proportion of employed in the United States are completely or very satisfied with their jobs is more than 45% at 5% significance level
Solution
3).
Aggregate 5 is significant from aggregate 4
Aggregate 3 is significant from aggregate 4
4). Type 1 error
5). Between group variance and within group variance.
6). The test is significant or there is difference between the group means.
