A certain statistics instructor participates in triathlons. The accompanying table lists times​ (in minutes and​ seconds) he recorded while riding a bicycle for five laps through each mile of a​ 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill? View the data table of the riding times Riding times (minutes and seconds)               Mile 1 ​3:14 ​3:24 ​3:23 ​3:22 ​3:21   Mile 2 ​3:20 ​3:23 ​3:21 ​3:17 ​3:19   Mile 3 ​3:34 ​3:30 ​3:29 ​3:32 ​3:29     ​(Note: when pasting the data into your​ technology, each mile row will have separate columns for each minute and second entry. You will need to convert each​ minute/second entry into seconds​ only.)   Find the F test statistic.   F= __________ ​(Round to four decimal places as​ needed.) Find the​ P-value using the F test statistic.   ​P-value= __________ ​(Round to four decimal places as​ needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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A certain statistics instructor participates in triathlons. The accompanying table lists times​ (in minutes and​ seconds) he recorded while riding a bicycle for five laps through each mile of a​ 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill?

View the data table of the riding times

Riding times (minutes and seconds)
 
 
 
 
 
 
 
Mile 1
​3:14
​3:24
​3:23
​3:22
​3:21
 
Mile 2
​3:20
​3:23
​3:21
​3:17
​3:19
 
Mile 3
​3:34
​3:30
​3:29
​3:32
​3:29
 
 
​(Note: when pasting the data into your​ technology, each mile row will have separate columns for each minute and second entry. You will need to convert each​ minute/second entry into seconds​ only.)
 
Find the F test statistic.
 
F= __________
​(Round to four decimal places as​ needed.)
Find the​ P-value using the F test statistic.
 
​P-value= __________
​(Round to four decimal places as​ needed.)
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