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1. (2.5 points) A regional opera company has tried three approaches to solicit donations from 24 potential sponsors. The 24 potential sponsors were randomly divided

1. (2.5 points) A regional opera company has tried three approaches to solicit donations from 24 potential sponsors. The 24 potential sponsors were randomly divided into three groups of eight, and one approach was used for each group. The dollar amounts of the resulting contributions are shown in the following table. Approach Contributions (in $) 1000 1500 1200 1800 1600 1100 1000 1250 1500 1800 2000 1200 2000 1700 1800 1900 W N I 900 1000 1200 1500 1200 1550 1000 1100 (a) Do the data indicate that there is a difference in the results obtained from the three different approaches? Use a = 0.05. 2. (2.5 points) A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men's shirts. Strength is usually affected by the percentage of cotton used in the blend of materials for the fiber. The engineer conducted a completely randomized experiment with five levels of cotton content and replicated the experiment five times. The data are shown in the following table. Cotton Weight Observations Percentage 15 7 7 15 11 9 20 12 17 12 18 18 25 14 19 19 18 18 30 19 25 22 19 23 35 7 10 11 15 11 (a) Is there evidence to support the claim that cotton content affects the mean tensile strength? Use a = 0.05. (b) Test all pairs of means using any of the Post Hoc Tests with a-0.05. What conclusions can you draw

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