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. Contestant Time (beginning) Time (end) 5 6| 7 | 8 e 1 154.9 134.5 153.2 124.9 106.4 137.4 127.1 116.2 145.5 129.7 149.0 | 123.6 || 93.5 | 136.1 | 116.2 | 101.3 3 4 Let µg be the hypothesized mean of the difference in the times (beginning - end). What are H, and H,? O B. Ho: Ha #0 H,: Hg = 0 O A. Ho: Ha sd O C. Ho: Ha 20 H3: Ha <0 O D. Ho: Hazd O E. Ho: Ha s0 H3: Hg >0 OF. Ho: Ha = 0

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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.
Contestant
Time (beginning)
Time (end)
4
154.9 134.5 153.2 124.9 106.4 137.4 127.1| 116.2
93.5
1
2
3
6
7 8 e
145.5 129.7 149.0 123.6
136.1| 116.2 101.3
(a) Identify the claim and state H, and Hạ.
What is the claim?
O A. The contestants' times have decreased.
O B. The contestants' times have increased.
OC. The contestants' times have changed.
O D. The contestants' times have not changed.
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. Contestant Time (beginning) Time (end) 4 154.9 134.5 153.2 124.9 106.4 137.4 127.1| 116.2 93.5 1 2 3 6 7 8 e 145.5 129.7 149.0 123.6 136.1| 116.2 101.3 (a) Identify the claim and state H, and Hạ. What is the claim? O A. The contestants' times have decreased. O B. The contestants' times have increased. OC. The contestants' times have changed. O D. The contestants' times have not changed.
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.
Contestant
Time (beginning)
Time (end)
%3D
5
124.9 106.4 137.4
145.5 129.7 149.0 123.6 93.5 136.1 116.2 101.3
1
2
3
7
8
127.1 116.2
4
6.
154.9 134.5 153.2
Let
Ha
be the hypothesized mean of the difference in the times (beginning - end). What are H, and H, ?
O A. Ho: Ha sd
O B. Ho: Ha +0
H3: Ha = 0
O C. Ho: Hd 20
H3: Ha < 0
O D. Ho: Ha 2d
O E. Ho: Ha s0
H3: Ha >0
OF. Ho: Hd = 0
H3: Ha #0
Hạ: Ha <d
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. Contestant Time (beginning) Time (end) %3D 5 124.9 106.4 137.4 145.5 129.7 149.0 123.6 93.5 136.1 116.2 101.3 1 2 3 7 8 127.1 116.2 4 6. 154.9 134.5 153.2 Let Ha be the hypothesized mean of the difference in the times (beginning - end). What are H, and H, ? O A. Ho: Ha sd O B. Ho: Ha +0 H3: Ha = 0 O C. Ho: Hd 20 H3: Ha < 0 O D. Ho: Ha 2d O E. Ho: Ha s0 H3: Ha >0 OF. Ho: Hd = 0 H3: Ha #0 Hạ: Ha <d
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