In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. Use a significance level of 0.05 to conduct all hypothesis tests and construct confidence intervals. Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Prob > F BRAND Error C. Total 3 38504.150 12834.7 21.1742 <.0001* 16 9698.400 606.1 19 48202.550 Ordered Differences Report Level - Level Difference Std Err Dif Lower CL Upper CL p-Value Divot Century 109.8000 15.57113 65.2507 154.3493 <.0001* Di Alpha 98.0000 15 711: 53.4 142.5493 <.0001* Best Century Best Alpha 109.1493 0.0038* 97.3493 0.0176* 64.6000 15.57113 20.0507 52.8000 15.57113 8.2507 Divot Best 45.2000 15.57113 0.6507 89.7493 0.0461* Alpha Century 11.8000 15.57113 -32.7493 56.3493 0.8720 Which golf ball brand is most durable? Century O Alpha O Divot Best

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National
Golf Association randomly selects balls of each brand and places each ball into a machine that exerts the force produced by a
250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. Use a significance level of 0.05
to conduct all hypothesis tests and construct confidence intervals.
Analysis of Variance
Sum of
Source
DF
Squares Mean Square F Ratio Prob > F
BRAND
3 38504.150
12834.7 21.1742 <.0001*
Error
16
9698.400
606.1
C. Total
19 48202.550
Ordered Differences Report
Level - Level Difference Std Err Dif Lower CL Upper CL p-Value
Divot Century
Divot Alpha
Best Century
Best Alpha
Divot Best
109.8000
15.57113
65.2507 154.3493 <.0001*
98.0000
15.57113
53.4507
142.5493 <.0001*
64.6000
15.57113
20.0507
109.1493 0.0038*
52.8000
15.57113
8.2507
97.3493 0.0176*
45.2000
15.57113
0.6507
89.7493 0.0461*
Alpha Century
11.8000
15.57113
-32.7493
56.3493 0.8720
Which golf ball brand is most durable?
Century
Alpha
Divot
Best
Transcribed Image Text:In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. Use a significance level of 0.05 to conduct all hypothesis tests and construct confidence intervals. Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Prob > F BRAND 3 38504.150 12834.7 21.1742 <.0001* Error 16 9698.400 606.1 C. Total 19 48202.550 Ordered Differences Report Level - Level Difference Std Err Dif Lower CL Upper CL p-Value Divot Century Divot Alpha Best Century Best Alpha Divot Best 109.8000 15.57113 65.2507 154.3493 <.0001* 98.0000 15.57113 53.4507 142.5493 <.0001* 64.6000 15.57113 20.0507 109.1493 0.0038* 52.8000 15.57113 8.2507 97.3493 0.0176* 45.2000 15.57113 0.6507 89.7493 0.0461* Alpha Century 11.8000 15.57113 -32.7493 56.3493 0.8720 Which golf ball brand is most durable? Century Alpha Divot Best
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