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Use excel spreadsheet and ANOVA different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club from the first tee was randomized so that the pro did not know which type of ball was being hit. The results (distance traveled in yards) for the four designs are provided in the following table Design 1 206.27 207.84 206.26 204.45 209.58 203.84 206.81 205.71 204.46 210.85 Design 2 217.16 221.42 218.09 224.17 211.91 213.84 221.36 229.39 213.51 214.52 Design 3 226.72 224.69 229.65 228.48 221.41 223.77 223.99 234.29 219.41 233.00 Design 4 230.54 227.94 231.77 224.94 229.53 231.03 221.56 235.51 228.28 225.13 a. At the 0.05 level of significance, is there evidence of a difference in the mean distances traveled by the golf balls with different designs? b. If the results in (a) indicate that it is appropriate, use the Tukey-Kramer procedure to determine which designs differ in mean distances. C. At the 0.05 level of significance, is there evidence of a difference in the variation in the distances traveled by the golf balls with different designs? d. What golf ball design should the manufacturing manager choose? explain

          Use excel spreadsheet and ANOVA
different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club from the first tee was randomized so that the pro did not know which type of ball was being hit. The results (distance traveled in yards) for the four designs are provided in the following table
Design 1 206.27 207.84 206.26 204.45 209.58 203.84 206.81 205.71 204.46 210.85
Design 2 217.16 221.42 218.09 224.17 211.91 213.84 221.36 229.39 213.51 214.52
Design 3 226.72 224.69 229.65 228.48 221.41 223.77 223.99 234.29 219.41 233.00
Design 4 230.54 227.94 231.77 224.94 229.53 231.03 221.56 235.51 228.28 225.13
a. At the 0.05 level of significance, is there evidence of a difference in the mean distances traveled by the golf balls with different designs? b. If the results in (a) indicate that it is appropriate, use the Tukey-Kramer procedure to determine which designs differ in mean distances. C. At the 0.05 level of significance, is there evidence of a difference in the variation in the distances traveled by the golf balls with different designs? d. What golf ball design should the manufacturing manager choose? explain
        
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use excel spreadsheet and anova different designs ten balls were manufactured with each design and were brought to the local golf course for the club professional to test the order in which 25914

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Use excel spreadsheet and ANOVA different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club from the first tee was randomized so that the pro did not know which type of ball was being hit. The results (distance traveled in yards) for the four designs are provided in the following table Design 1 206.27 207.84 206.26 204.45 209.58 203.84 206.81 205.71 204.46 210.85 Design 2 217.16 221.42 218.09 224.17 211.91 213.84 221.36 229.39 213.51 214.52 Design 3 226.72 224.69 229.65 228.48 221.41 223.77 223.99 234.29 219.41 233.00 Design 4 230.54 227.94 231.77 224.94 229.53 231.03 221.56 235.51 228.28 225.13 a. At the 0.05 level of significance, is there evidence of a difference in the mean distances traveled by the golf balls with different designs? b. If the results in (a) indicate that it is appropriate, use the Tukey-Kramer procedure to determine which designs differ in mean distances. C. At the 0.05 level of significance, is there evidence of a difference in the variation in the distances traveled by the golf balls with different designs? d. What golf ball design should the manufacturing manager choose? explain
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The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. $$\begin{aligned}&\text { The data follow: }\\&\text { Brand } 1: 275,286,287,271,283,271,279,275,263,267\\&\text { Brand 2: } 258,244,260,265,273,281,271,270,263,268\end{aligned}$$ a. Is there evidence that overall distance is approximately normally distributed? Is an assumption of equal variances justified? b. Test the hypothesis that both brands of ball have equal mean overall distance. Use $\alpha=0.05 .$ What is the $P$ -value? c. Construct a $95 \%$ two-sided $\mathrm{CI}$ on the mean difference in overall distance for the two brands of golf balls. d. What is the power of the statistical test in part (b) to detect a true difference in mean overall distance of 5 yards? e. What sample size would be required to detect a true difference in mean overall distance of 3 yards with power of approximately $0.75 ?$

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Manufacturers of golf balls always seem to be claiming that their ball goes the farthest. A writer for a sports magazine decided to conduct an impartial test: She randomly selected 20 golf professionals and then randomly assigned four golfers to each of five brands. Each golfer drove the assigned brand of ball. The driving distances, in yards, are displayed in the following table: Brand 1 | Brand 2 | Brand 3 | Brand 4 | Brand 5 --------|---------|---------|---------|-------- 286 | 279 | 270 | 284 | 281 276 | 277 | 262 | 271 | 293 281 | 284 | 277 | 269 | 276 274 | 288 | 280 | 275 | 292 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. Do the data provide sufficient evidence to conclude that a difference exists in mean driving distances among the five brands? Perform the required hypothesis test using α = 0.05. (Note: T = -1.117, T = 1.128, T = 0.899, T = -1.099, T = 1.142, and Z = 1555.185.)

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