Answered: A sales representative for Pinnacle…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION

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

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