DISCUSSION FILE # 16 I'm trying to determine if there actually is a difference in 7-iron distance between 3 golf balls I'm thinking about playing. I conducted a study by 15 shots with each type of ball hitting (at random across the ball types) and noting the total distance of each shot. The results are shown below. What is the conclusion at the alpha= .05 level and why? Analysis of Variance results: Data stored in separate columns. Column means Column n Mean Std. Error Ball 1 Ball 2 Ball 3 15 151.46666 0.8215355 15 ANOVA table Error 15 Source df Total Treatments 2 152.2 0.7571878 154.8 0.9719886 SS 92.04444 MS F-Stat P-value 44 552.57776 46.02222 42 460.53333 10.965079 0.0218 4
DISCUSSION FILE # 16 I'm trying to determine if there actually is a difference in 7-iron distance between 3 golf balls I'm thinking about playing. I conducted a study by 15 shots with each type of ball hitting (at random across the ball types) and noting the total distance of each shot. The results are shown below. What is the conclusion at the alpha= .05 level and why? Analysis of Variance results: Data stored in separate columns. Column means Column n Mean Std. Error Ball 1 Ball 2 Ball 3 15 151.46666 0.8215355 15 ANOVA table Error 15 Source df Total Treatments 2 152.2 0.7571878 154.8 0.9719886 SS 92.04444 MS F-Stat P-value 44 552.57776 46.02222 42 460.53333 10.965079 0.0218 4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
![DISCUSSION FILE # 16
I'm trying to determine if there actually is a difference in 7-iron distance between 3 golf balls I'm thinking about
playing. I conducted a study by 15 shots with each type of ball hitting (at random across the ball types) and
noting the total distance of each shot. The results are shown below.
What is the conclusion at the alpha = .05 level and why?
Analysis of Variance results:
Data stored in separate columns.
Column means
Column n
Ball 1
Ball 2
Ball 3
15 151.46666 0.8215355
15
ANOVA table
Error
15
Total
Mean Std. Error
Source df
Treatments 2
152.2 0.7571878
154.8 0.9719886
SS
92.04444
MS
44 552.57776
46.02222
42 460.53333 10.965079
F-Stat P-value
0.0218
dal
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e43c9db-5d41-4468-b810-f43391b4cd54%2F95e907a0-984a-44af-8816-daa6fe87cbeb%2Fy90w2n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DISCUSSION FILE # 16
I'm trying to determine if there actually is a difference in 7-iron distance between 3 golf balls I'm thinking about
playing. I conducted a study by 15 shots with each type of ball hitting (at random across the ball types) and
noting the total distance of each shot. The results are shown below.
What is the conclusion at the alpha = .05 level and why?
Analysis of Variance results:
Data stored in separate columns.
Column means
Column n
Ball 1
Ball 2
Ball 3
15 151.46666 0.8215355
15
ANOVA table
Error
15
Total
Mean Std. Error
Source df
Treatments 2
152.2 0.7571878
154.8 0.9719886
SS
92.04444
MS
44 552.57776
46.02222
42 460.53333 10.965079
F-Stat P-value
0.0218
dal
4
![Reject the null hypothesis because there's a lot of error in the model
O Fail to reject the null hypothesis because the F stat is so small
Reject the null hypothesis because the F stat is sufficiently large
Fail to reject the null hypothesis because there's sufficient error in the model
Reject the null hypothesis because the p-value is so large](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e43c9db-5d41-4468-b810-f43391b4cd54%2F95e907a0-984a-44af-8816-daa6fe87cbeb%2Frver4h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Reject the null hypothesis because there's a lot of error in the model
O Fail to reject the null hypothesis because the F stat is so small
Reject the null hypothesis because the F stat is sufficiently large
Fail to reject the null hypothesis because there's sufficient error in the model
Reject the null hypothesis because the p-value is so large
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