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…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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