work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for ten randomly selected fraternity brothers and thirteen randomly selected sorority sisters. Brothers: 5 9 5 11 5 5 7 9 11 7 Sisters: 7 14 5 10 8 10 18 15 14 16 6 5 17 Assume both follow a Normal distribution. What can be concluded at the a= 0.05 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 Ⓒ b. The test statistic ? = Select an answer Select an answer (please enter a decimal) (Please enter a decimal) O (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) 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 ... 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. O 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 significant at a = 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the ten fraternity brothers that were surveyed is less than the mean volunteer work hours for the thirteen sorority sisters that were surveyed. 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.

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This is all one question it just has sub parts please answer everything it counts as one whole 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 ten randomly selected fraternity brothers and thirteen randomly selected sorority sisters.
Brothers: 595 11 5 5
7 9 11 7
Sisters: 7 14 5 10 8
10 18 15 14 16 6 5 17
Assume both follow a Normal distribution. What can be concluded at the a = 0.05 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)
(please show your answer to 3 decimal places.)
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 4 decimal places.)
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 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 significant at a = 0.05, so there is sufficient evidence to conclude
that the mean volunteer hours for the ten fraternity brothers that were surveyed is less than the
mean volunteer work hours for the thirteen sorority sisters that were surveyed.
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.
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 ten randomly selected fraternity brothers and thirteen randomly selected sorority sisters. Brothers: 595 11 5 5 7 9 11 7 Sisters: 7 14 5 10 8 10 18 15 14 16 6 5 17 Assume both follow a Normal distribution. What can be concluded at the a = 0.05 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) (please show your answer to 3 decimal places.) 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 4 decimal places.) 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 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 significant at a = 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the ten fraternity brothers that were surveyed is less than the mean volunteer work hours for the thirteen sorority sisters that were surveyed. 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.
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