Do left handed starting pitchers pitch more innings per game on average than right handed starting pitchers? A researcher looked at eleven randomly selected left handed starting pitchers' games and eleven randomly selected right handed pitchers' games. The table below shows the results. Left:6635675475 Rightz3365445365 Assume that both populations follow a normal distribution. What can be concluded at the the or - 0.01 level of significance level of significance? For this study, we should use Select an answer v a. The null and alternative hypotheses would be: Ho: ISelecl an answer v | Select an answer at | Select an answer v| (please enter a decimal) 31 .- (Please enter a decimal) b. The test statistic = [:I (please show your answer to 3 decimal places.) c. The p-value - {Please show your answer to 4 decimal places.) d. The p-value is a e. Based on this, we should the null hypothesis. 1. Thus, the final conclusion is that O The results are statistically significant at or = 0.01I so there is sufficient evidence to conclude that the mean innings per game for the eleven left handed starting pitchers that were looked at is more than the mean innings per game for the eleven right handed starting pitchers that were looked at. O The results are statistically insignicant at (1 - 0.01, so there is statistically significant evidence to conclude that the population mean innings per game for left handed starting pitchers is equal to the population mean innings per game for right handed starting pitchers. O The results are statistically significant at or = 0.01, so there is sufficient evidence to conclude that the population mean innings per game for left handed starting pitchers is more than the population mean innings per game for right handed starting pitchers. O The results are statistically insignificant at (1' - 0.01I so there is insufficient evidence to conclude that the population mean innings per game for left handed starting pitchers is more than the population mean innings per game for right handed starting pitchers. g. Interpret the p-value in the context of the study. 0 There is a 0.56% chance that the mean innings per game for the 10 lefties is at least 1.5 innings more than the mean innings per game for the 10 righties. 0 If the sample mean innings per game for the 10 lefties is the same as the sample mean innings per game for the 10 righties and if another another 10 lefties and 10 righties are observed then there would be a 0.56% chance of concluding that the mean innings per game for the 10 lefties is at least 1.5 innings more than the mean innings per game for the 10 righties C) There is a 0.56% chance of a Type I error. 0 If the population mean innings per game for left handed starting pitchers is the same as the population mean innings per game for right handed starting pitchers and if another 10 lefties and 10 righties are observed then there would be a 0.56% chance that the mean number of innings per game for the 10 lefties would be at least 1.5 innings more than the mean innings per game for the 10 righties
