The "spring-like effect" in a golf club could be determined by measuring the coeffi cient 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 a = 0.05 and assume equal variances. Answer the following questions regarding the t-test.

The "spring-like effect" in a golf club could be determined by measuring the coeffi cient 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 a = 0.05 and assume equal variances. Answer the following questions regarding the t-test.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The "spring-like effect" in a golf club could be determined by measuring the coeffi cient 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 a = 0.05 and assume equal variances. Answer the following
questions regarding the t-test.
1. How many degrees-of-freedom are there in this problem (needed for finding the critical t-
values).
2. What is the absolute values of the critical t-value for this problem? We are using a two-
tailed t-test with a significance level of 5%. (use four significant figures)
3. What is the calculated t-statistic value? (use four significant figures)
4. What is the resulting two-tailed p-value? (use three significant figures)
5. Will the null hypothesis reject or not reject?

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