Question

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

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