Show, e e af 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. Contestant Time (beginning) Time (end) 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 1429 106.6 123.5 3 4 5 6 7 8 O A. The contestants' times have not changed. OB. The contestants' times have decreased. OC. The contestants' times have increased. D. The contestants' times have changed. Let u, be the hypothesized mean of the difference in the times (beginning - end). What are H, and H, ? OA Ho: H2d OB. He: s0 OC. Ho: H20 OD. Ho: g*0 H H =0 E Ho: 0 OF HH sd (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes (Round to three decimal places as needed.) complete your choice. OA 1 O B. t< OC. t<

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 nomally distributed. Complete parts (a) through (e) below.
Contestant
Time (beginning)
Time (end)
5 6
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
3 4
7
O A. The contestants' times have not changed.
O B. The contestants' times have decreased.
O C. 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, ?
O A Ho: H zd
O B. Ho: Hg s0
H, Hg > 0
OC. Ho Ha 20
O D. Ho: Hg 0
H =0
VE. Ho: H0
OF H Hsd
(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. t>
O B. t< or t>
OC. t<
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 nomally distributed. Complete parts (a) through (e) below. Contestant Time (beginning) Time (end) 5 6 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 3 4 7 O A. The contestants' times have not changed. O B. The contestants' times have decreased. O C. 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, ? O A Ho: H zd O B. Ho: Hg s0 H, Hg > 0 OC. Ho Ha 20 O D. Ho: Hg 0 H =0 VE. Ho: H0 OF H Hsd (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. t> O B. t< or t> OC. t<
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