20.40 Kicking a helium-filled football. Does a football filled with helium travel farther than one filled with ordinary air? To test this, the Columbus Dispatch conducted a study. Two identical footballs, one filled with helium and one filled with ordinary air, were used. A casual observer was unable to detect a difference in the two footballs. A novice kicker was used to punt the footballs. A trial consisted of kicking both footballs in a random order. The kicker did not know which football (the helium-filled or the air- filled football) he was kicking. The distance of each punt was recorded. Then another trial was conducted. A total of 39 trials were run. Here are the data for the 39 trials, in yards that the footballs traveled. The difference (helium minus air) is the response variable. 22 Helium 25 16 25 14 23 29 25 26 22 26 Air 25 23 18 16 35 15 26 24 24 28 Difference -7 7 -2 -12 14 -1 -2 -2 Helium 12 28 28 31 22 29 23 26 35 24 Air 25 19 27 25 34 26 20 22 33 29 Difference -13 1 6 -12 3 3 4 2 -5 Helium 31 34 39 32 14 28 30 27 33 11 Air 31 27 22 29 28 29 22 31 25 20 Difference 17 3 -14 -1 8 -4 8 -9 Helium 26 32 30 29 30 29 29 30 26 Air 27 26 28 32 28 25 31 28 28 Difference -1 6 2 -3 2 4 -2 2 -2 (a) Examine the data. Is it reasonable to use the t procedures? (b) If your conclusion in part (a) is "Yes," do the data give convincing evidence that the helium-filled football travels farther than the air-filled football?

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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20.40 Kicking a helium-filled football. Does a football filled with helium travel farther
than one filled with ordinary air? To test this, the Columbus Dispatch conducted a
study. Two identical footballs, one filled with helium and one filled with ordinary air,
were used. A casual observer was unable to detect a difference in the two footballs. A
novice kicker was used to punt the footballs. A trial consisted of kicking both footballs
in a random order. The kicker did not know which football (the helium-filled or the air-
filled football) he was kicking. The distance of each punt was recorded. Then another
trial was conducted. A total of 39 trials were run. Here are the data for the 39 trials, in
yards that the footballs traveled. The difference (helium minus air) is the response
variable. 22
Helium
25
16
25
14
23 29
25
26
22
26
Air
25
23
18
16
35
15
26
24
24
28
Difference
-7
7 -2 -12
14
-1
-2
-2
Helium
12
28
28
31
22
29
23
26
35
24
Air
25
19
27
25
34
26
20
22
33
29
Difference -13
1 6 -12 3
3 4 2 -5
Helium
31
34
39
32
14
28
30
27
33
11
Air
31
27
22
29
28
29
22
31
25
20
Difference
17
3 -14 -1
8 -4
8
-9
Helium
26
32
30
29
30
29
29
30
26
Air
27
26
28
32
28
25
31
28
28
Difference
-1 6
2 -3
2 4 -2
2 -2
(a) Examine the data. Is it reasonable to use the t procedures?
(b) If your conclusion in part (a) is "Yes," do the data give convincing evidence that
the helium-filled football travels farther than the air-filled football?

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