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 populatie is normally distributed. Complete parts (a) through (e) below. Contestant Time (beginning) Time (end) 3 1 2 127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7 127.6 139.4 116.2 107.9 107.4 142.9 106.6 123.5 5 6 VE. Ho: H =0 OF. Ho: Hg sd OD. Ho: H0 H, =0 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) OA. 1> B. t<-3.500 ort> 3.500 OC. 1< (c) Calculate d and s d- 0.125 (Round to three decimal places as needed.) Calculate s S- 0.292 (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
7 8
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
6
Contestant
Time (beginning)
Time (end)
3
4
OF. Ho: Ho sd
E. Ho: Ha =0
H, #0
O D. Ho: H0
(b) Find the critical value(s) and identify the rejection region(s).
Select the correct choice below and fill in any answer boxes to complete your choice.
(Round to three decimal places as needed.)
O A. t>
B. t< -3.500 or t> 3.500
OC. 1<
(c) Calculate d and sg.
d= 0.125 (Round to three decimal places as needed.)
Calculate sa
S- 0.292 (Round to three decimal places as needed.)
(d) Find the standardized test statistic t.
t= (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. 7 8 127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7 127.6 139.4 116.2 107.9 107.4 142.9 106.6 123.5 6 Contestant Time (beginning) Time (end) 3 4 OF. Ho: Ho sd E. Ho: Ha =0 H, #0 O D. Ho: H0 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) O A. t> B. t< -3.500 or t> 3.500 OC. 1< (c) Calculate d and sg. d= 0.125 (Round to three decimal places as needed.) Calculate sa S- 0.292 (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= (Round to three decimal places as needed.)
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