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 thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 11 13 8 4 12 4 6 11 8 4 8 7 Sisters: 17 7 4 16 5 16 15 11 9 11 17 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 Select an answer a. The null and alternative hypotheses would be: Ho: p1 Select an answer vu2 vv (please enter a decimal) H1: u1 vV (Please enter a decimal) Select an answer v u2 of b. The test statistic t v (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is >v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean volunteer hours for the thirteen fraternity brothers that were surveyed is not the same as the mean volunteer work hours for the eleven sorority sisters that were surveyed. O 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 not the same as the population mean volunteer work hours for sorority sisters. O 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 not the same as the population mean volunteer work hours for sorority sisters. O 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.

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 thirteen randomly selected fraternity brothers and eleven
randomly selected sorority sisters.
Brothers: 14
11
13
8
12
4
11
4
8 7
Sisters: 17
7 4
16 5 16
15
11
11
17
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 Select an answer
a. The null and alternative hypotheses would be:
Но: р1
Select an answer v
u2
Vv (please enter a decimal)
H1: u1
Select an answer v
u2
v (Please enter a decimal)
b. The test statistic t v =
(please show your answer to 3 decimal places.)
c. The p-value -
(Please show your answer to 4 decimal places.)
d. The p-value is >v a
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the mean volunteer hours for the thirteen fraternity brothers that were surveyed is not
the same as the mean volunteer work hours for the eleven sorority sisters that were surveyed.
O 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 not the same as
the population mean volunteer work hours for sorority sisters.
O 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 not the same as the
population mean volunteer work hours for sorority sisters.
O 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.
Transcribed Image Text: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 thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 11 13 8 12 4 11 4 8 7 Sisters: 17 7 4 16 5 16 15 11 11 17 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 Select an answer a. The null and alternative hypotheses would be: Но: р1 Select an answer v u2 Vv (please enter a decimal) H1: u1 Select an answer v u2 v (Please enter a decimal) b. The test statistic t v = (please show your answer to 3 decimal places.) c. The p-value - (Please show your answer to 4 decimal places.) d. The p-value is >v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean volunteer hours for the thirteen fraternity brothers that were surveyed is not the same as the mean volunteer work hours for the eleven sorority sisters that were surveyed. O 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 not the same as the population mean volunteer work hours for sorority sisters. O 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 not the same as the population mean volunteer work hours for sorority sisters. O 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.
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