A new type of crank for bicycles called the Powercam relies on a pushing motion rather thana circular motion. The company that markets this crank plans a test of five riders who will travel a100-mile route once with the Powercam and once with a conventional crank. The company claims thatthe new crank reduces the time needed to cover the 100 miles. The times in hours for the five riders are3.as follows:Rider1345Powercam4.44.64.74.84.9Conventional5.15.35.14.95.2Use a 5% significance level and assume that both population distributions are normal. Is there sufficientevidence in the data to support the claim that the new crank reduces the time needed to cover the 100miles?(Hint: Follow the steps 1) identify the case; 2) set the alternative hypothesis; 3) set the null hypothesis;4) find the rejection region; 5) calculate the test statistic; and 6) make decision.)

There are two dependent samples which follows normal distribution. We have to test whether the new…

Answered: A new type of crank for bicycles called…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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