Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.

MATLAB: An Introduction with Applications
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(b) Use the t test to determine the significance of SO/IP.
State the null and alternative hypotheses.
Ho: B1
Hạ: B1 # 0
= 0
Ho: B, + 0
Ha: B1
= 0
O Ho: B, 2 0
1
Ha: B, < 0
O Ho: B1 = 0
Ha: B, > 0
1
O Ho: B1s0
Ha: B, > 0
H.:
Find the value of the test statistic for ß,. (Round your answer to two decimal places.)
Find the p-value for ß,. (Round your answer to three decimal places.)
p-value =
What is your conclusion at the 0.05 level of significance?
Do not reject Ho. There is sufficient evidence to conclude that SO/IP is a significant factor.
Reject Ho. There is sufficient evidence to conclude that SO/IP is a significant factor.
Do not reject Ho. There is insufficient evidence to conclude that SO/IP is a significant factor.
Reject Ho. There is insufficient evidence to conclude that SO/IP is a significant factor.
Use the t test to determine the significance of HR/IP.
State the null and alternative hypotheses.
Ho: B2 > 0
H: B2
< 0
Ho: B2
Hgi B2 > 0
O Ho: B2 s0
Ha: B2 > 0
= 0
Ho: B2
O O O O
Transcribed Image Text:(b) Use the t test to determine the significance of SO/IP. State the null and alternative hypotheses. Ho: B1 Hạ: B1 # 0 = 0 Ho: B, + 0 Ha: B1 = 0 O Ho: B, 2 0 1 Ha: B, < 0 O Ho: B1 = 0 Ha: B, > 0 1 O Ho: B1s0 Ha: B, > 0 H.: Find the value of the test statistic for ß,. (Round your answer to two decimal places.) Find the p-value for ß,. (Round your answer to three decimal places.) p-value = What is your conclusion at the 0.05 level of significance? Do not reject Ho. There is sufficient evidence to conclude that SO/IP is a significant factor. Reject Ho. There is sufficient evidence to conclude that SO/IP is a significant factor. Do not reject Ho. There is insufficient evidence to conclude that SO/IP is a significant factor. Reject Ho. There is insufficient evidence to conclude that SO/IP is a significant factor. Use the t test to determine the significance of HR/IP. State the null and alternative hypotheses. Ho: B2 > 0 H: B2 < 0 Ho: B2 Hgi B2 > 0 O Ho: B2 s0 Ha: B2 > 0 = 0 Ho: B2 O O O O
Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.
w L
Player
Тeam
W
ERA
So/IP
HR/IP
R/IP
Verlander, J
DET
24
2.40
1.00
0.10
0.29
Вeckett, J
BOS
13
7
2.89
0.91
0.11
0.34
Wilson, C
TEX
16
7
2.94
0.92
0.07
0.40
Sabathia, C
NYY
19
8
3.00
0.97
0.07
0.37
Haren, D
LAA
16
10
3.17
0.81
0.08
0.38
McCarthy, B
OAK
3.32
0.72
0.06
0.43
Santana, E
LAA
11
12
3.38
0.78
0.11
0.42
Lester, J
BOS
15
9.
3.47
0.95
0.10
0.40
Hernandez, F
SEA
14
14
3.47
0.95
0.08
0.42
13 9
Buehrle, M
CWS
3.59
0.53
0.10
0.45
Pineda, M
SEA
9.
10
3.74
1.01
0.11
0.44
Colon, B
NYY
8
10
4.00
0.82
0.13
0.52
Tomlin, J
CLE
12
7
4.25
0.54
0.15
0.48
Pavano, C
MIN
9.
13
4.30
0.46
0.10
0.55
Danks, J
CWS
8.
12
4.33
0.79
0.11
0.52
Guthrie, J
BAL
9
17
4.33
0.63
0.13
0.54
Lewis, C
TEX
14
10
4.40
0.84
0.17
0.51
Scherzer, M
DET
9.
4.43
0.89
0.15
0.52
Davis, W
ТВ
11
10
4.45
0.57
0.13
0.52
Porcello, R
DET
14
9.
4.75
0.57
0.10
0.57
An estimated regression equation was developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the
15
Transcribed Image Text:Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided. w L Player Тeam W ERA So/IP HR/IP R/IP Verlander, J DET 24 2.40 1.00 0.10 0.29 Вeckett, J BOS 13 7 2.89 0.91 0.11 0.34 Wilson, C TEX 16 7 2.94 0.92 0.07 0.40 Sabathia, C NYY 19 8 3.00 0.97 0.07 0.37 Haren, D LAA 16 10 3.17 0.81 0.08 0.38 McCarthy, B OAK 3.32 0.72 0.06 0.43 Santana, E LAA 11 12 3.38 0.78 0.11 0.42 Lester, J BOS 15 9. 3.47 0.95 0.10 0.40 Hernandez, F SEA 14 14 3.47 0.95 0.08 0.42 13 9 Buehrle, M CWS 3.59 0.53 0.10 0.45 Pineda, M SEA 9. 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 10 4.00 0.82 0.13 0.52 Tomlin, J CLE 12 7 4.25 0.54 0.15 0.48 Pavano, C MIN 9. 13 4.30 0.46 0.10 0.55 Danks, J CWS 8. 12 4.33 0.79 0.11 0.52 Guthrie, J BAL 9 17 4.33 0.63 0.13 0.54 Lewis, C TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 9. 4.43 0.89 0.15 0.52 Davis, W ТВ 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 14 9. 4.75 0.57 0.10 0.57 An estimated regression equation was developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the 15
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