Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 7 11 13 9 11 8 12 7 13 10 13 Sisters: 13 19 16 11 11 19 10 16 17 7 | d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, 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 = 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the thirteen fraternity brothers that were surveyed is less than the mean volunteer work hours for the eleven sorority sisters that were surveyed. 6.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Question
Members of fraternities and sororities are required to
volunteer for community service. Do fraternity brothers work
fewer volunteer hours on average than sorority sisters? The
data below show the number of volunteer hours worked for
thirteen randomly selected fraternity brothers and eleven
randomly selected sorority sisters.
Brothers: 14
7
11
13
9.
11
8
12
7
13
10
13
Sisters: 13
19
16
11
11
19
5
10
16
17 7
|
d. The p-value is ? O a
e. Based on this, we should Select an answer
the null
hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically significant at a =
0.05, so there is sufficient evidence to conclude
that the population mean volunteer hours for
fraternity brothers is less than the population
mean volunteer work hours for sorority sisters.
The results are statistically insignificant at a =
0.05, so there is insufficient evidence to
conclude that the population mean volunteer
hours for fraternity brothers is less than the
population mean volunteer work hours for
sorority sisters.
The results are statistically insignificant at a =
0.05, 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 =
0.05, so there is sufficient evidence to conclude
that the mean volunteer hours for the thirteen
fraternity brothers that were surveyed is less
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 fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 7 11 13 9. 11 8 12 7 13 10 13 Sisters: 13 19 16 11 11 19 5 10 16 17 7 | d. The p-value is ? O a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, 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 = 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the thirteen fraternity brothers that were surveyed is less than the mean volunteer work hours for the eleven sorority sisters that were surveyed.
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