Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for eleven randomly selected fraternity brothers and twelve randomly selected sorority sisters.Brothers: 12 8 9 10 12 6 5 11 11 14 9Sisters: 19 13 12 19 4 13 14 10 17 11 8 5Assume both follow a Normal distribution. What can be concluded at the αα = 0.10 level of significance level of significance?The test statistic ? t z = The p-value =he p-value is ? > ≤ αBased on this, we should Select an answer reject accept fail to reject the null hypothesis.Thus, the final conclusion is that ...The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters.The results are statistically insignificant at α = 0.10, so there is statistically significant evidence to conclude that the population mean volunteer hours for fraternity brothers is equal to the population mean volunteer work hours for sorority sisters.The results are statistically insignificant at α = 0.10, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters.The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the mean volunteer hours for the eleven fraternity brothers that were surveyed is not the same as the mean volunteer work hours for the twelve sorority sisters that were surveyed.

Null hypothesis: H0: µ1=µ2. That is, the mean number of volunteer hours on average is equal for…

Answered: Members of fraternities and sororities…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for eleven randomly selected fraternity brothers and twelve randomly selected sorority sisters.

Brothers: 12 8 9 10 12 6 5 11 11 14 9

Sisters: 19 13 12 19 4 13 14 10 17 11 8 5

Assume both follow a Normal distribution. What can be concluded at the αα = 0.10 level of significance level of significance?

The test statistic ? t z =

The p-value =

he p-value is ? > ≤ α

Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters.
- The results are statistically insignificant at α = 0.10, so there is statistically significant evidence to conclude that the population mean volunteer hours for fraternity brothers is equal to the population mean volunteer work hours for sorority sisters.
- The results are statistically insignificant at α = 0.10, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters.
- The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the mean volunteer hours for the eleven fraternity brothers that were surveyed is not the same as the mean volunteer work hours for the twelve sorority sisters that were surveyed.

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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