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 ​3:25 ​3:24 ​3:23 ​3:20   Mile 2 ​3:18 ​3:23 ​3:20 ​3:16 ​3:20   Mile 3 ​3:35 ​3:31 ​3:28 ​3:31 ​3:30     ​(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= __________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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
​3:25
​3:24
​3:23
​3:20
 
Mile 2
​3:18
​3:23
​3:20
​3:16
​3:20
 
Mile 3
​3:35
​3:31
​3:28
​3:31
​3:30
 
 
​(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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