A sales representative for Pinnacle Golf, a manufacturer of golf balls, is attempting to convince the pro shop manager of the Whistling Straits Golf Club to carry their recently introduced new line of golf balls that have a larger distance than any of the existing balls that the shop is currently selling. While the “extra” distance is a feature that should make the balls more attractive, the new balls are more expensive than the current balls. If the company’s claim about the new balls is found to be accurate, then the manager will carry the new line of balls. To test the new balls, the pro shop manager asked the club’s golf pro to hit 100 of the top-selling brand of balls and 100 of the new balls. The distance traveled by both the new and current balls was recorded.  For this scenario, which of the following would be the

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

QUESTION 

  1. A sales representative for Pinnacle Golf, a manufacturer of golf balls, is attempting to convince the pro shop manager of the Whistling Straits Golf Club to carry their recently introduced new line of golf balls that have a larger distance than any of the existing balls that the shop is currently selling. While the “extra” distance is a feature that should make the balls more attractive, the new balls are more expensive than the current balls. If the company’s claim about the new balls is found to be accurate, then the manager will carry the new line of balls. To test the new balls, the pro shop manager asked the club’s golf pro to hit 100 of the top-selling brand of balls and 100 of the new balls. The distance traveled by both the new and current balls was recorded. 
    For this scenario, which of the following would be the proper set of hypotheses?

Use the scenario from above question : 

The manager ran the following output, none of which might be correct. What should Whistling Straits Golf Club do? Use a significance level of not more than .05.

 Reject the null hypothesis and do not carry the new line of golf balls

Reject the null hypothesis and carry the new line of golf balls

Fail to reject the null hypothesis and carry the new line of golf balls

Fail to reject the null hypothesis and do not carry the new line of golf balls

Use the scenario from question 4:
The manager ran the following output, none of which might be correct. What should Whistling Straits Golf Club do? Use
a significance level of not more than .05.
t-Test: Two-Sample Assuming Equal Variances
Current
240.24
104.932
100
F-Test Two-Sample for Variances
New
Current
New
259.10
98.333
Mean
Variance
Observations
af
F
P(F<=f) one-tail
F Critical one-tail
259.10
240.24
Mean
98.333 104.932
Variance
Observations
Pooled Variance
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
100
100
100
99
99
101.633
0.937
0.374
198
0.717
2.707
0.004
t-Test: Two-Sample Assuming Unequal Variances
1.653
New
259.10
Current
240.24
104.932
100
0.007
Mean
Variance
Observations
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
1.972
98.333
t-Test: Paired Two Sample for Means
New
259.10
98.333
100
100
Current
240.24
104.932
100
Mean
Variance
Observations
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
198
13.228
0.000
1.653
0.000
99
1.972
2.717
0.004
1.660
0.008
1.984
Transcribed Image Text:Use the scenario from question 4: The manager ran the following output, none of which might be correct. What should Whistling Straits Golf Club do? Use a significance level of not more than .05. t-Test: Two-Sample Assuming Equal Variances Current 240.24 104.932 100 F-Test Two-Sample for Variances New Current New 259.10 98.333 Mean Variance Observations af F P(F<=f) one-tail F Critical one-tail 259.10 240.24 Mean 98.333 104.932 Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 100 100 100 99 99 101.633 0.937 0.374 198 0.717 2.707 0.004 t-Test: Two-Sample Assuming Unequal Variances 1.653 New 259.10 Current 240.24 104.932 100 0.007 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 1.972 98.333 t-Test: Paired Two Sample for Means New 259.10 98.333 100 100 Current 240.24 104.932 100 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 198 13.228 0.000 1.653 0.000 99 1.972 2.717 0.004 1.660 0.008 1.984
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman