The p-value is     αα Based on this, we should     the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 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. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean innings per game for the ten 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. The results are statistically significant at αα = 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. The results are statistically insignificant at αα = 0.01, 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Do left handed starting pitchers pitch more innings per game on average than right handed starting pitchers?  A researcher looked at ten randomly selected left handed starting pitchers' games and nine randomly selected right handed pitchers' games. The table below shows the results.

Left:  8     6     5     7     6     5     6     7     7

Right:  5     7     4     5     3     6     4     4

  1. The p-value is     αα
  2. Based on this, we should     the null hypothesis.
  3. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 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.
    • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean innings per game for the ten 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.
    • The results are statistically significant at αα = 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.
    • The results are statistically insignificant at αα = 0.01, 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.
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