NEED HELP WITH B AND C B -2.813 MARKED WRONG AND C 0.0101 WRONG **Educational Website Content: Statistical Analysis of Volunteer Hours Between Fraternity Brothers and Sorority Sisters**---**Introduction**Members of fraternities and sororities are required to volunteer for community service. This analysis seeks to determine whether fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters. The data provided below shows the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters.**Data**- **Brothers (hours):** 13, 14, 8, 4, 8, 4, 3, 5, 12, 7, 4, 8- **Sisters (hours):** 15, 18, 4, 13, 16, 7, 19, 12, 9, 14, 7**Assumptions**Assume both groups follow a normal distribution.**Significance Level**What can be concluded at the α = 0.05 level of significance?**Study Design**- **Hypotheses** - Null Hypothesis (\(H_0\)): The population mean volunteer hours for fraternity brothers is equal to the population mean volunteer hours for sorority sisters. - Alternative Hypothesis (\(H_1\)): The population mean volunteer hours for fraternity brothers is not equal to the population mean volunteer hours for sorority sisters.- **Test Selection** - Based on this, we should select a suitable statistical test and determine the test statistic.**Analysis**- **Test Statistic** - Provide your calculated value (to three decimal places).- **P-value** - Provide the calculated p-value (to four decimal places).- **Decision** - Based on the p-value, determine whether to reject or fail to reject the null hypothesis.**Conclusion**- **Final Conclusion** - Interpret the results and choose the most appropriate statement: - The results are statistically insignificant at α = 0.05, indicating insufficient evidence to conclude that the population mean volunteer work hours for fraternity brothers differ from those of sorority sisters. - The results are statistically significant at α = 0.05, indicating sufficient evidence to conclude that there is a difference between the population mean volunteer work hours for fraternity brothers and sorority sisters.The outcome will guide whether fraternity brothers and sorority sisters contribute equally, on average, to community service or if there are differences in their

The data is given as below.Brothers (x1)Sisters (x2)1315141884413816473194125912147748As the student…

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: 13 14 8 4 8 4 Sisters: 15 18 4 13 16 7 19 12 9 14 7 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 a. The null and alternative hypotheses would be: Ho Select an answer H₁: Select an answer 3 4 5 12 7 4 8 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.) The results are statistically insignificant at x = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraterity brothers is not the same as 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 population mean volunteer hours for fraternity brothers is not the same as 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 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 = 0.05, 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.