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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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
Transcribed Image Text:A new type of crank for bicycles called the Powercam relies on a pushing motion rather than a circular
motion. The company that markets this crank plans a test of five riders who will travel a 100-mile
route once with the Powercam and once with a conventional crank. The company claims that the new
crank reduces the time needed to cover the 100 miles. The times in hours for the five riders are as
follows:
Rider
Powercam
Conventional 5.1
1
4
4.4
4.6
4.7
4.8
4.9
5.3 5.1
4.9 5.2
Is there sufficient evidence in the data to support the claim that the new crank reduces the time needed
to cover the 100 miles? Use a 5% significance level and assume that both population distributions are
normal.
(a) State the null and alternative hypotheses for the test.
(b) Identify the correct formula for the test statistic and calculate its value.
(c) Identify the rejection region.
(d) Make a decision whether to reject Ho.
(e) State a conclusion in the context of the problem.
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