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 twelve randomly selected fraternity brothers and twelve randomly selected sorority sisters.
Brothers: 6 5 8 6 11 11 5 5 7 10 11 12
Sisters: 5 11 13 13 5 18 7 10 16 11 18 12
Assume both follow a Normal distribution. What can be concluded at the
= 0.05 level of significance level of significance?
For this study, we should use
Select an answer
The null and alternative hypotheses would be:
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(please enter a decimal)
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(Please enter a decimal)
The test statistic
?
=
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
?
Based on this, we should
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the null hypothesis.
Thus, the final conclusion is that ...
The results are statistically significant at
= 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
= 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
= 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
= 0.05, so there is sufficient evidence to conclude that the mean volunteer hours for the twelve fraternity brothers that were surveyed is less than the mean volunteer work hours for the twelve sorority sisters that were surveyed.
