STAT 614 ANOVA HW9

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Rochester Institute of Technology *

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614

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Statistics

Date

Apr 3, 2024

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pdf

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1

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STAT 614 Applied Statistics Fall 2020 ANOVA Homework #9 1. Consider the following partial ANOVA table: Source of Variation df SS MS F Treatment * 75 25 * Error * * * Total 19 135 a. Determine the df for treatment b. Determine the df for error c. Determine the SS for error d. Determine the MS for error e. Determine the F-statistic f. Use the rejection region method (find the critical value) to test the hypothesis of equal means 2. The data in the excel file provided show the measurements of hemoglobin (g per 100 ml) in the blood of brown trout. The trout were placed at random in four different troughs. The fish food added to the troughs contained, respectively, 0, 5, 10, and 15 grams of sulfamerazine per 100 pounds of fish. The measurements were made on 10 fish randomly selected from each trough after 35 days. a. Create a summary plot of the data and comment b. Write down the null and alternative hypothesis for the test to see if there are any differences in mean hemoglobin among the different amounts of sulfamerazine added. c. Test this hypothesis using an ANOVA and α =0.05 and draw conclusions. d. Did the outcome match what you thought would happen based on your plot, explain 3. Six observations of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content. The data (ug/g) is provided in the excel file. a. Create a summary plot of the data and comment b. Write down the null and alternative hypothesis for the test to see if there are any differences in mean thiamin content among the different types of grains. c. Test this hypothesis using an ANOVA and α =0.05 and draw conclusions. d. Did the outcome match what you thought would happen based on your plot, explain
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