Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for ten randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 12 4 5 12 14 13 13 12 9 11 Sisters: 4 4 8 6 6665 3 5 8 Assume both follow a Normal distribution. What can be concluded at the a = 0.01 level of significance level of significance? For this study, we should use a. The null and alternative hypotheses would be: Ho: H₁: Select an answer î Select an answer Select an answer Select an answer î b. The test statistic ? ✪ Select an answer ↑ = = test statistic to 3 decimal places.) c. The p-value Select an answer ↑ Select an answer î ↑ (Round intermediate statistics to 1 decimal place. Please show your (Note: If you do not have a Ti-83/84, then please use the Google Sheet function =TDIST (abs (Test Stat), degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to report the answer accurate to four decimal places. Use the rounded test statistic value.) d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.01, 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 significant at a = 0.01, so there is sufficient evidence to conclude that the mean volunteer hours for the ten fraternity brothers that were surveyed is more than the mean volunteer work hours for the eleven sorority sisters that were surveyed.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers
work more volunteer hours on average than sorority sisters? The data below show the number of volunteer
hours worked for ten randomly selected fraternity brothers and eleven randomly selected sorority sisters.
Brothers: 12 4 5
12 14 13 13 12 9 11
Sisters: 4 4 8 6
6665 3 5 8
Assume both follow a Normal distribution. What can be concluded at the a = 0.01 level of significance level
of significance?
For this study, we should use
a. The null and alternative hypotheses would be:
Ho:
H₁:
Select an answer î
Select an answer
Select an answer
Select an answer î
b. The test statistic ? ✪
Select an answer ↑
=
=
test statistic to 3 decimal places.)
c. The p-value
Select an answer ↑
Select an answer î
↑
(Round intermediate statistics to 1 decimal place. Please show your
(Note: If you do not have a Ti-83/84, then please use the Google Sheet function
=TDIST (abs (Test Stat), degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to
report the answer accurate to four decimal places. Use the rounded test statistic value.)
d. The p-value is ? a
e. Based on this, we should Select an answer the null hypothesis.
f. Thus, the final conclusion that ...
The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population mean volunteer hours for fraternity brothers is more than the population
mean volunteer work hours for sorority sisters.
The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude
that the population mean volunteer hours for fraternity brothers is more than the population
mean volunteer work hours for sorority sisters.
The results are statistically insignificant at a = 0.01, 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 significant at a = 0.01, so there is sufficient evidence to conclude
that the mean volunteer hours for the ten fraternity brothers that were surveyed is more than the
mean volunteer work hours for the eleven sorority sisters that were surveyed.
Transcribed Image Text:Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for ten randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 12 4 5 12 14 13 13 12 9 11 Sisters: 4 4 8 6 6665 3 5 8 Assume both follow a Normal distribution. What can be concluded at the a = 0.01 level of significance level of significance? For this study, we should use a. The null and alternative hypotheses would be: Ho: H₁: Select an answer î Select an answer Select an answer Select an answer î b. The test statistic ? ✪ Select an answer ↑ = = test statistic to 3 decimal places.) c. The p-value Select an answer ↑ Select an answer î ↑ (Round intermediate statistics to 1 decimal place. Please show your (Note: If you do not have a Ti-83/84, then please use the Google Sheet function =TDIST (abs (Test Stat), degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to report the answer accurate to four decimal places. Use the rounded test statistic value.) d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.01, 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 significant at a = 0.01, so there is sufficient evidence to conclude that the mean volunteer hours for the ten fraternity brothers that were surveyed is more than the mean volunteer work hours for the eleven sorority sisters that were surveyed.
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