Engineering Probability and Inference Homework 3 A consumer product-testing organization wanted to compare the annual power consumption for five different brands of dehumidifier

Engineering Probability and Inference Homework 3

1. A consumer product-testing organization wanted to compare the annual power consumption for five different brands of dehumidifier. The resulting power consumption data is below:

1. Do the data provide sufficient evidence to indicate a difference in power consumption among the five brands? Use a significance level of 0.05. Construct the full ANOVA table.
2. User Tukey’s W Procedure to determine which location means differ (if any) from which others, using a 0.05 level of significance.

2. A study was carried out to compare the writing lifetimes of four premium brands of pens. Lifetimes are given below for the pens.

1. Use a 0.01 significance level to test if the four brands have the same mean lifetimes. Construct the full ANOVA table.
2. If we consider brand 1 as a control, use Dunnett’s procedure to test if the other three brands each differ from brand 1. Use a significance level of 0.01.

3. Observations on axial stiffness from a study of metal-plate connected trusses were taken on five different plate lengths. Use the Kruskal-Wallis test and a significance level of 0.01 to test if the axial stiffness depends on plate length. Then use the Kruskal-Wallis Multiple-Comparison procedure to test for differences in the paired mean ranks. Use a 0.01 significance level for these comparisons as well.