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1. (3 pts) Use the file GolfBall_.xls found in the Problem Sets folder (*Note* the date...

1. (3 pts) Use the file GolfBall_.xls found in the Problem Sets folder (*Note* the date will be different than the table in the textbook). You are trying to evaluate which golf ball goes the furthest distance. a. Set up your null and alternative hypotheses. Use PHStat –> Multi-Sample Tests -> One Way ANOVA select the Tukey-Kramer Proceedure checkbox. Get the P-value from the ANOVA sheet generated. Use the p-value to find your confidence and write up a short conclusion.

Your report should include:

• Hypotheses

• Output from Descriptive Statistics that check assumptions. If there are assumption issues then explain how they might affect your results.

• Output from excel that give you the P-value.

• A write-up that details how confident you are that the means differ and if they do, how they differ. If there were assumption issues account for these in your conclusions (for example, if the normality of the data was in question but the p-value was very high your conclusion may still be valid).

Design1 Design2 Design3 Design4
199.78 217.27 224.11 207.28
200.38 211.46 236.22 199.22
201.37 217.31 226.33 201.96
201.55 223.31 228.52 202.25
202.9 211.99 221.44 194.97
201.47 230.05 230.36 198.75
198.98 214.81 231.48 201.9
201.67 220.93 220.15 206.19
200.99 217.71 223.31 196.15
201.7 221.5 232.12 201.15
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

A) Using Ms-excel

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Design1 10 2010.79 201.079 1.233343
Design2 10 2186.34 218.634 31.15276
Design3 10 2274.04 227.404 27.05714
Design4 10 2009.82 200.982 15.31135
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 5219.553 3 1739.851 93.09667 5.02E-17 2.866266
Within Groups 672.7913 36 18.68865
Total 5892.344 39
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