Is there a difference between the average number of innings that left handed starting pitchers pitch per game and the number of innings that right handed starting pitchers pitch per game
Is there a difference between the average number of innings that left handed starting pitchers pitch per game and the number of innings that right handed starting pitchers pitch per game? Twelve randomly selected left handed starting pitchers' games and fourteen randomly selected right handed pitchers' games were looked at. The table below shows the results.
| Left | 7 | 4 | 9 | 6 | 6 | 8 | 2 | 5 | 7 | 5 | 8 | 4 | ||
| Right | 8 | 6 | 8 | 9 | 7 | 3 | 9 | 8 | 4 | 5 | 7 | 9 | 3 | 6 |
Assume that both populations follow a
H0: left = right
Ha: left [ Select ] ["<", ">", "Not Equal To"] right
Test statistic: [ Select ] ["Z", "T"]
p-Value = [ Select ] ["0.015", "0.21", "0.43", "0.03"]
[ Select ] ["Reject Ho", "Fail to Reject Ho"]
Conclusion: There is [ Select ] ["insufficient", "statistically significant"] evidence to make the conclusion that there is a difference in population mean number of innings that left handed starting pitchers and right handed starting pitchers pitch per game.
p-Value Interpretation: If the mean number of innings pitched are the same for lefties and righties and if another study was done with a new randomly selected collection of 12 lefties and 14 righties, then would be a [ Select ] ["21", "43", "0.03", "0.015"] percent chance that for this new sample that either the lefties would pitch an average of at least [ Select ] ["1.0", "0.7", "0.9", "0.8"] fewer innings than the righties or the lefties would pitch an average of at least [ Select ] ["0.7", "0.9", "1.0", "0.8"] more innings than the righties.
Level of significance interpretation: If the mean number of innings pitched are the same for lefties and righties and if another study was done with a new randomly selected collection of 12 lefties and 14 righties then there would be a [ Select ] ["5", "1", "10", "15"] percent chance that this new study would result in the false conclusion that there is a difference in the mean number of innings pitched per game by lefties and righties.
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