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=0.05, 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 2 119.2 100.8 100.7 138.1 131.9 120.7 120.9 106.2 118.9 100.7 100.6 138.3 131.7 120.8 120.6 106.0 4 5 6 7 8 Jo (a) Identify the claim and state H, and H.. What is the claim? O A. The contestants' times have decreased. O B. The contestants' times have increased. O C. The contestants' times have changed. O D. The contestants' times have not changed. Let u be the hypothesized mean of the difference in the times (beginning - end). What are Ho and H,? OA Ho: Ha sd O B. Ho: Ha 20 OC. Ho: Ha 40 H: H 0 p< Prt:"H OE. Ho: Ha s0 pz PH :H a C p> PH:"H OF. Ho: H =0 H 40 ) Find the standardized test statistic t.

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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 = 0.05, 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
1
3
4
7
8
Time (beginning)
Time (end)
119.2
100.8
100.7 138.1
131.9
120.7 120.9
106.2
118.9
100.7 100.6
138.3
131.7
120.8
120.6 106.0
(a) Identify the claim and state Ho and Ha.
What is the claim?
O A. The contestants' times have decreased.
B. The contestants' times have increased.
C. The contestants' times have changed.
O D. The contestants' times have not changed.
Let Hd be the hypothesized mean of the difference in the times (beginning - end). What are Ho and H,?
O B. Ho: Hd 20
Ha: Hd <0
O A. Ho: Hd sd
O C. Ho: Hd #0
Ha: Hd =0
p< Pri :PH
O F. Ho: Hd =0
O E. Ho: Hd S0
Ha: Hd>0
O D. Ho: Hd 2d
Ha: Hd #0
p> Pri :PH
(b) Find the standardized test statistic t.
Transcribed Image Text:estion Help 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 = 0.05, 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 1 3 4 7 8 Time (beginning) Time (end) 119.2 100.8 100.7 138.1 131.9 120.7 120.9 106.2 118.9 100.7 100.6 138.3 131.7 120.8 120.6 106.0 (a) Identify the claim and state Ho and Ha. What is the claim? O A. The contestants' times have decreased. B. The contestants' times have increased. C. The contestants' times have changed. O D. The contestants' times have not changed. Let Hd be the hypothesized mean of the difference in the times (beginning - end). What are Ho and H,? O B. Ho: Hd 20 Ha: Hd <0 O A. Ho: Hd sd O C. Ho: Hd #0 Ha: Hd =0 p< Pri :PH O F. Ho: Hd =0 O E. Ho: Hd S0 Ha: Hd>0 O D. Ho: Hd 2d Ha: Hd #0 p> Pri :PH (b) Find the standardized test statistic t.
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