Bundle: Probability and Statistics for Engineering and the Sciences, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term Courses
9th Edition
ISBN: 9780357099797
Author: DEVORE, Jay L.
Publisher: Cengage Learning
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Textbook Question
Chapter 4.6, Problem 88E
A sample of 15 female collegiate golfers was selected and the clubhead velocity (km/hr) while swinging a driver was determined for each one, resulting in the following data (“Hip Rotational Velocities During the Full Golf Swing,” J. of Sports Science and Medicine, 2009: 296–299):
| 69.0 | 69.7 | 72.7 | 80.3 | 81.0 |
| 85.0 | 86.0 | 86.3 | 86.7 | 87.7 |
| 89.3 | 90.7 | 91.0 | 92.5 | 93.0 |
The corresponding z percentiles are
| -1.83 | -1.28 | -0.97 | -0.73 | -0.52 |
| -0.34 | -0.17 | 0.0 | 0.17 | 0.34 |
| 0.52 | 0.73 | 0.97 | 1.28 | 1.83 |
Construct a normal
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The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow:
Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871
Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476
Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances.
Question: Reject H0 if t0 < ___ or if t0 > ___.
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle
recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the
wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise:
Permafresh
Hylite
156
148
152
197
151
187
122
142
133
A manufacturer wants to know how large is the difference in mean wrinkle recovery angle.
a. The mean and the standard deviation for the Permafresh are:
Round to 3 decimal places.
Round to 3 decimal places.
b. The mean and the standard deviation for the Hylite are:
Round to 3 decimal places.
Round to 3 decimal places.
c. The standard error is:
SE =
Round to 3 decimal places.
The critical value from the distribution for a confidence interval of 99.8% is:
t=
Use degrees of freedom of 3. Use Technology. Round to 3 decimal places.
d. Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 99.8%…
Scores on an accounting exam ranged from 42 to 92, with quartiles Q1= 59.00, Q2= 79.0, and Q3=82.25.
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Chapter 4 Solutions
Bundle: Probability and Statistics for Engineering and the Sciences, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term Courses
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