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: 4 11 13 11 4 8 11 5 12 14 13 Sisters: 16 19 8 6 8 15 19 7 15 19 199 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: Select an answer H₁: Select an answer b. The test statistic c. The p-value= Select an answer Select an answer ■ Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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: 4 11 13 11 4 8 11 5 12 14 13
Sisters: 16 19 8 6 8
15 19 7 15 19 19 9
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: Select an answer
H₁ Select an answer ✓
Select an answer Select an answer
Select an answer ✓ Select an answer
(please enter a decimal)
(Please enter a decimal)
=
b. The test statistic
c. The p-value =
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 ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
O The results are statistically significant at a = 0.01, 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.
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.
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.
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 eleven randomly selected fraternity brothers and twelve randomly selected sorority sisters. Brothers: 4 11 13 11 4 8 11 5 12 14 13 Sisters: 16 19 8 6 8 15 19 7 15 19 19 9 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: Select an answer H₁ Select an answer ✓ Select an answer Select an answer Select an answer ✓ Select an answer (please enter a decimal) (Please enter a decimal) = b. The test statistic c. The p-value = 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 ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically significant at a = 0.01, 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. 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. 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.
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