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 erank reduces the time needed to cover the 100 miles. The times in hours for the five riders are as Follows: Rider 1 3 4 Powercam 4.4 4.6 4.7 4.8 4.9 Conventional 5.1 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 co cover the 100 miles? Use a 5% significance level and assume that both population distributions are normal

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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a) Identify the correct formula for the test statistic and calculate its value.

b) Identify the rejection region and make a decision.

c) Sate the conclusion I the context of the problem.

3. A new type of crank for bicycles called the Powercam relies on a pushing motiom 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
1
3
4
Powercam
4.4
4.6
4.7
4.8
4.9
Conventional
5.1
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.
Transcribed Image Text:3. A new type of crank for bicycles called the Powercam relies on a pushing motiom 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 1 3 4 Powercam 4.4 4.6 4.7 4.8 4.9 Conventional 5.1 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.
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