Can I please have help with these? Thanks!

Do political science classes require the same amount of writing as history classes? The 58 randomly selected political science classes assigned an average of 19.7 pages of essay writing for the course. The standard deviation for these 53 classes was 4.3 pages. The 55 randomly selected history classes assigned an average of i1? pages of essay writing f0! the course. The standard deviation for these 55 classes was 4.9 pages, What can be concluded at the or = 0.05 level of significance! For this study, we should use | Select an answer v] Select an answer a. The null and altemativ- zelesl for the difference between two population proportions itest for lhe difference between two dependent population means zviest for a populalion proportion 1:31 Host for a population mean - - iAtesl for lhe difference between two independent population means Ha : LSeleot an answer v HI : Select an answer v i.Seieci an answer v H Select an answer v| D. The test statistic L? V_ = [please show your answer to 3 decimal places.) C. The p-value = [Please show your answer to 4 decimal places.) d. The pvvalue is i? vJ'n _ e. Based on this, we should [Select an _a_n_s_w_er___~__| the null hypothesis. l. Thus. the final conclusion Is that O The results are statistically insignificant at l! = 0.05. so there is statistically significant evidence to conclude that the population mean number of pages of writing that political science classes require is equal to the population mean number of pages of writing that history classes require. 0 The results are statistically significant at or = 0'05. so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is not the same as the population mean number of pages of writing that history classes require. 0 The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean number of required pages for the '38 political science classes that were observed is not the same as the mean number of required pages for the 55 history classes that were observed. O The results are statistically insignificant at a : 0.05, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is not the same as the population mean number of pages of writing that history classes require. Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work more volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for eleven randomly selected fraternity brothers and ten randomly selected sorority sisters. Brothers: 11 9 11 4 ii i1 5 7 5 10 10 Sisters: 9 5 4 3 9 8 3 4 6 3 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 VI a. The null and alternative hypotheses would be: Ho: ISeleot an answer v IISelecl an answer v I. Select an answer vi (please enter a decimal) b. The test statistic _? it] (please show your answer to 3 decimal places.) c. The p-value = I [Please show your answer to 4 decimal places.) d. The pvvalue is r? v n e. Based on this, we should Select an answer v the null hypothesis f. Thus, the final conclusion is that C) The results are statistically significant at r! = 0.05. so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers ls more than the population mean volunteer work hours for sorority sisters. (3 The results are statistically significant at o = 0.05. so there is sufficient evidence to conclude that the mean volunteer hours for the eleven fraternity brothers that were surveyed is more than the mean volunteer work hours for the ten sorority sisters that were surveyed. O The results are statistically insignificant at (t = 0.05, so there is Insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is more than the population mean volunteer work hours for sorority sisters. 0 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. observed averaged 65 minutes to get out of bed after the alarm rang. Their standard deviation was 3. The 43 women observed averaged 8 minutes and their standard deviation was 1.5 minutes. What can be concluded at the a = 0.10 level of significance? .9 Do men take a different amount of time than women to get out of bed in the morning? The 54 men a. For this study, we should use[Seleclan anSWEr Vl b. The null and alternative hypotheses would be: Hg: |Select an answer v | i Select an answer v | Select an answer v [please enter a decimal] H1: |Select an answer v | i Select an answer v |Seleot an answer v [Please enter a decimal} c. The test statistic i? v] =1 [please show your answer to 3 decimal places.) d. The p-value = [Please show your answer to 4 decimal places.) e. The p-value is I?v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus. the final conclusion is that O The results are statistically insignificant at n: = 0.10, so there is statistically significant evidence to conclude that the population mean time for men to get out of bed in the morning is equal to the population mean time for women to get out of bed in the morning. Q The results are statistically significant at u : 0.10, so there is sufficient evidence to conclude that the mean time to get out of bed in the morning for the 54 men that were observed is different than the mean time for the 43 women that were observed. 0 The results are statistically significant at or : 0.10, so there is sufficient evidence to conclude that the population mean time for men to get out of bed in the morning is different than the population mean time for women to get out of bed in the morning. 0 The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean time for men to get out of bed in the morning is different than the population mean time for women to get out of bed in the morning. h. Interpret the p:value in the context of the study. 0 If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 54 men and 43 women are observed then there would be a 0.2% chance that the mean time to get out of bed in the morning for the 54 men would differ from the mean time to get out of bed in the morning for the 43 women by at least 1.5 minutes. Q There is a 0.2% chance that the mean time to get out of bed in the morning for the 54 men differs by at least 1.5 minutes from the mean time to get out of bed in the morning for the 43 women. 0 There is a 0.2% chance of a Type I error. 0 If the sample mean time to get out of bed in the morning for the 54 men is the same as the sample mean time to get out of bed in the morning for the 43 women and if another 54 men and 43 women are observed then there would be a 02% chance of concluding that the mean time to get out of bed in the morning for the 54 men differs by at least 1.5 minutes from the mean time to get out of bed in the morning for the 43 women 1. Interpret the level of significance in the context of the study. 0 There is a 10% chance that there is a difference in the population mean time for men and women to get out of bed in the morning. 0 If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 54 men and 43 women are observed then there would be a 10% chance that we would end up falsely concluding that the population mean time for men to get out of bed in the morning is different than the population mean time for women to get out of bed in the morning 0 There is a 10% chance you will take so long to get out of bed in the morning that you will miss the deadline to complete this assignment. Q If the population mean time for men to get out of bed in the morning is the same as the population mean time for women to get out of bed in the morning and if another 54 men and 43 women are observed then there would he a 10% chance that we would end up falsely concluding that the sample mean time for these 54 men and 43 women to get out of bed in the morning differ from each other. KI) 00 left handed starting pitchers pitch fewer innings per game on average than right handed starting pitchers? A researcher looked at ten randomly selected left handed starting pitchers games and ten randomly selected right handed pitchers' games. The table below shows the results. Left:766755756 Right:767787678 Assume that both populations follow a normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use| Select an answer VI a. The null and alternative hypotheses would be: H02 i Select an answer v i l Select an answer v |j Select an answer v] (please enter a decimal) H]: i Select an answer v i l Select an answer v |] Select an answer v| (Please enter a decimal) b. The test statistic = i (please show your answer to 3 decimal places.) c. The p-value = ' I (Please Show your answer to 4 decimal places.) d. The p-value is Ct e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that O The results are statistically insignificant at o: = 0.10. so there is insufficient evidence to conclude that the population mean innings per game for left handed starting pitchers is less than the population mean innings per game for right handed starting pitchers. Q The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean innings per game for left handed starting pitchers is less than the population mean innings per game for right handed starting pitchers. O The results are statistically insignificant at o: : 0.10, so there is statistically significant evidence to conclude that the population mean innings per game for left handed starting pitchers is equal to the population mean innings per game for right handed starting pitchers. O The results are statistically significant at or = 0.10, so there is sufficient evidence to conclude that the mean innings per game for the ten left handed starting pitchers that were looked at is less than the mean innings per game for the ten right handed starting pitchers that were looked at