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 7Right: 5 7 4 5 3 6 4 4The p-value is ααBased 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.

Note : There are 9 left hand and 8 right hand data values First we need to calculate the mean and…

Answered: The p-value is αα Based on this, we…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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