A golf tee manufacturer used a robot to hit balls off of their tee and a competitor's tee using the same club. Assume that 101balls were hit off each tee, and the data are suitable for inference. Is there evidence that balls hit off the manufacturer's tee have a higher initial velocity? (Assume a significance level of 0.05.) Distance (yards) Distance (yards) Ball Velocity (mph) Ball Velocity (mph) Club Velocity (mph) Club Velocity (mph) Avg. SD Avg. SD Avg. SD Competition 220.05 2.02 124.11 0.85 90.82 0.44 Manufacturer 222.28 2.57 125.37 0.41 90.82 0.44 a) Compute the t-statistic. t=_____ (Round to three decimal places as needed.) b)Compute the P-Value P-Value=_____ (Round to three decimal places as needed.)
A golf tee manufacturer used a robot to hit balls off of their tee and a competitor's tee using the same club. Assume that 101balls were hit off each tee, and the data are suitable for inference. Is there evidence that balls hit off the manufacturer's tee have a higher initial velocity? (Assume a significance level of 0.05.) Distance (yards) Distance (yards) Ball Velocity (mph) Ball Velocity (mph) Club Velocity (mph) Club Velocity (mph) Avg. SD Avg. SD Avg. SD Competition 220.05 2.02 124.11 0.85 90.82 0.44 Manufacturer 222.28 2.57 125.37 0.41 90.82 0.44 a) Compute the t-statistic. t=_____ (Round to three decimal places as needed.) b)Compute the P-Value P-Value=_____ (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A golf tee manufacturer used a robot to hit balls off of their tee and a competitor's tee using the same club. Assume that 101balls were hit off each tee, and the data are suitable for inference. Is there evidence that balls hit off the manufacturer's tee have a higher initial velocity? (Assume a significance level of 0.05.)
|
|
Distance (yards)
|
Distance (yards)
|
Ball Velocity (mph) | Ball Velocity (mph) | Club Velocity (mph) | Club Velocity (mph) |
|---|---|---|---|---|---|---|
|
|
Avg.
|
SD
|
Avg.
|
SD
|
Avg.
|
SD
|
|
Competition
|
220.05
|
2.02
|
124.11
|
0.85
|
90.82
|
0.44
|
|
Manufacturer
|
222.28
|
2.57
|
125.37
|
0.41
|
90.82
|
0.44
|
a) Compute the t-statistic.
t=_____
(Round to three decimal places as needed.)
b)Compute the P-Value
P-Value=_____
(Round to three decimal places as needed.)
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