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 nine randomly selected right handed pitchers' games. The table below shows the results. Left: 7 6 6 8 5 5 Right: 5 5 Assume that both populations follow a normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use |Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer Select an answer (Please enter a decimal) b. The test statistic ? v ) = (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 ? v a e. Based on this, we should |Select an answer v| the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at or = 0.10, 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. O The results are statistically significant at o - 0.10, 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. The results are statistically insignificant at or = 0.10, 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 o = 0.10, 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 nine right handed starting pitchers that 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 or = 0.10, 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. The results are statistically significant at or = 0.10, 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 nine right handed starting pitchers that were looked at. g. Interpret the p-value in the context of the study. There is a 5.61%% chance that the mean innings per game for the 10 lefties is at least 0.9 innings more than the mean innings per game for the 8 righties. O If the sample mean innings per game for the 10 lefties is the same as the sample mean innings per game for the 8 righties and if another another 10 lefties and 8 righties are observed then there would be a 5.61% chance ofconcluding that the mean innings per game for the 10 lefties is at least 0.9 innings more than the mean innings per game for the 8 righties 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 8 righties are observed then there would be a 5.61% chance that the mean number of innings per game for the 10 lefties would be at least 0.9 innings more than the mean innings per game for the 8 righties. There is a 5.61% chance of a Type I error. h. Interpret the level of significance in the context of the study. 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 8 righties are observed then there would be a 10% chance that we would end up falsely concluding that the population mean innings per game for the lefties is more than the population mean innings per game for the righties O If the population mean innings per game for lefties is the same as the population mean innings per game for righties and if another 10 lefties and 8 righties are observed, then there would be a 10% chance that we would end up falsely concluding that the sample mean innings per game for these 10 lefties and 8 righties differ from each other. There is a 10% chance that your team will win whether the starting pitcher is a lefty or a righty. What you really need is better pitchers. O There is a 10% chance that there is a difference in the population mean innings per game for lefties and righties