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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Question
On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of the
contestants at the beginning of the season and at the end of the season. At a =0.01, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the population
is normally distributed. Complete parts (a) through (e) below.
2
3 4
Contestant
Time (beginning)
Time (end)
5
6
127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7
127.6 139.4 116.2 107.9 107.4 142.9 106.6 123,5
UC. The contestants times have increased.
D. The contestants' times have changed.
Let Ha be the hypothesized mean of the difference in the times (beginning - end). What are Ho and H,?
OA Ho: Ha zd
O B. Ho: H s0
OC. Ho: Hg 20
OD. Ho: Ha *0
p> Prt :"H
VE. Ho: Ha0
OF. Ho: H sd
(b) Find the critical value(s) and identify the rejection region(s).
complete your choice.
Select the corect choice below and fill in any answer boxes
(Round to three decimal places as needed.)
O A. t>
B. t< -3.500 or t> 3.500
OC. t<
(c) Calculate d and sg.
d= (Round to three decimal places as needed.)
Transcribed Image Text:On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of the contestants at the beginning of the season and at the end of the season. At a =0.01, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. 2 3 4 Contestant Time (beginning) Time (end) 5 6 127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7 127.6 139.4 116.2 107.9 107.4 142.9 106.6 123,5 UC. The contestants times have increased. D. The contestants' times have changed. Let Ha be the hypothesized mean of the difference in the times (beginning - end). What are Ho and H,? OA Ho: Ha zd O B. Ho: H s0 OC. Ho: Hg 20 OD. Ho: Ha *0 p> Prt :"H VE. Ho: Ha0 OF. Ho: H sd (b) Find the critical value(s) and identify the rejection region(s). complete your choice. Select the corect choice below and fill in any answer boxes (Round to three decimal places as needed.) O A. t> B. t< -3.500 or t> 3.500 OC. t< (c) Calculate d and sg. d= (Round to three decimal places as needed.)
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