Question
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.
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.
Player | Team | W | L | ERA | SO/IP | HR/IP | R/IP |
---|---|---|---|---|---|---|---|
Verlander, J | DET | 24 | 5 | 2.40 | 1.00 | 0.10 | 0.29 |
Beckett, 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 | 9 | 9 | 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 |
Buehrle, M | CWS | 13 | 9 | 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 | 15 | 9 | 4.43 | 0.89 | 0.15 | 0.52 |
Davis, W | TB | 11 | 10 | 4.45 | 0.57 | 0.13 | 0.52 |
Porcello, R | DET | 14 | 9 | 4.75 | 0.57 | 0.10 | 0.57 |
(b) Use the t test to determine the significance of SO/IP.
Use thettest to determine the significance of SO/IP.State the null and alternative hypotheses.
H0:10 Ha:1< 0H0:1= 0 Ha:1> 0 H0:1= 0 Ha:10H0:10 Ha:1= 0H0:10 Ha:1> 0
Find the value of the test statistic for1. (Round your answer to two decimal places.)
____________
Find thep-value for1. (Round your answer to three decimal places.)
p-value = ________
(c) Use the t test to determine the significance of SO/IP.
Use thettest to determine the significance of HR/IP.State the null and alternative hypotheses.
H0:20 Ha:2< 0H0:20 Ha:2> 0 H0:2= 0 Ha:20H0:20 Ha:2= 0H0:2= 0 Ha:2> 0
Find the value of the test statistic for2. (Round your answer to two decimal places.)
____________
Find thep-value for2. (Round your answer to three decimal places.)
p-value = ________
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