Is the average time to complete an obstacle course shorter when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 50 47 47 47 43 49 47 44 Left 52 47 48 51 46 51 45 44 Assume 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 t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud VV E (please enter a decimal) H1: ud V V Z V V o (Please enter a decimal) b. The test statistic t v V = 1.852 * (please show your answer to 3 decimal places.) c. The p-value = 0.0532 (Please show your answer to 4 decimal places.) d. The p-value is s vv a e. Based on this, we should reject v V the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at or = 0.10, so there is statistically significant evidence to condude that the population mean time to complete the obstacle course with a patch over the right eye is equal to the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically significant at o = 0.10, so there is sufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is less than the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically insignificant at @ = 0.10, so there is insufficient evidence to conclude that the population mean time to complete the obstacle course with a patch over the right eye is less than the population mean time to complete the obstacle course with a patch over the left eye. O The results are statistically significant at o = 0.10, so there is sufficient evidence to conclude that the eight volunteers that were completed the course faster on average with the patch overDo students perform worse when they take an exam alone than when they take an exam in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below. Exam Scores Alone 84 76 80 74 74 69 75 69 Classroom 80 75 84 75 81 71 73 67 Assume a Normal distribution. What can be concluded at the the or = 0.05 level of significance level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud (please enter a decimal) H1: ud 0 v (Please enter a decimal) b. The test statistic t v V = 4.8795 * (please show your answer to 3 decimal places.) c. The p-value = 0.3202 (Please show your answer to 4 decimal places.) d. The p-value is > v v a e. Based on this, we should fail to reject vy the null hypothesis. f. Thus, the final conclusion is that .. O The results are statistically insignificant at or = 0.05, so there is statistically significant evidence to conclude that the population mean test score taking the exam alone is equal to the population mean test score taking the exam in a classroom setting. The results are statistically significant at or = 0.05, so there is sufficient evidence to conclude that the eight students scored lower on average taking the exam alone compared to the classroom setting. O The results are statistically significant at or = 0.05, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting. The results are statistically insignificant at o = 0.05, so there is insufficient evidence to conclude that the population mean test score taking the exam alone is less than the population mean test score taking the exam in a classroom setting.Is memory ability before a meal better than after a meal? Ten people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Score on the Memory Test Before 79 67 55 69 76 74 76 73 72 59 a Meal After 76 59 47 67 75 81 74 68 80 51 a Meal Assume a Normal distribution. What can be concluded at the the or = 0.05 level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud VV E vy (please enter a decimal) H1: ud v V > VV o v V (Please enter a decimal) b. The test statistic t v v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is > v v a e. Based on this, we should fail to reject vv the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at @ = 0.05, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are higher on average than the ten memory scores from the memory tests that were taken after a meal. The results are statistically insignificant at o = 0.05, so there is insufficient evidence to conclude that the population mean memory score before a meal is higher than the population mean memory score after a meal. O The results are statistically insignificant at o = 0.05, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically significant at or = 0.05, so there is sufficient evidence to conclude that the population mean memory score before a meal is higher than the population mean memory score after a meal g. Interpret the p-value in the context of the study. If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal then there would be a 12.93% chance that the mean memory score for the 10 people who took theDo college students enjoy playing sports less than watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Play 8 4 1 3 4 10 3 4 4 Watch 8 3 4 7 9 9 5 10 4 Assume a Normal distribution. What can be concluded at the the or = 0.10 level of significance level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud = (please enter a decimal) H1: ud vv vv a e. Based on this, we should fail to reject vy the null hypothesis . f. Thus, the final conclusion is that . O The results are statistically insignificant at o = 0.05, so there is statistically significant evidence to conclude that the population mean revenue on days with a red "Sale" sign is equal to the population mean revenue on days with a blue "Sale" sign. O The results are statistically significant at or = 0.05, so there is sufficient evidence to conclude that the population mean revenue on days with a red "Sale" sign is less than the population mean revenue on days with a blue "Sale" sign. The results are statistically insignificant at or = 0.05, so there is insufficient evidence to conclude that the population mean revenue on days with a red "Sale" sign is less than the population mean revenue on days with a blue "Sale" sign. The results are statistically significant at o = 0.05, so there is sufficient evidence to conclude that the mean revenue for the eight days with a red "Sale" sign is less than the mean revenue for the ten days with a blue "Sale" sign. g. Interpret the p-value in the context of the study. If the population mean revenue on days with a red "Sale" sign is the same as the population mean revenue on days with a blue "Sale" sign and if another 8 days with a red "Sale" sign and 10 days with a blue "Sale" sign are observed then there would be a 30.88% chance that the mean revenue for the 8 days with a red "Sale" sign would be at least 0.3 thousand dollars less than the mean revenue for the 10 days with a blue "Sale" sign. 30 88%Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 58 randomly observed members of the Presbyterian church donated an average of $27 with a standard deviation of $11. The 49 randomly observed members of the Catholic church donated an average of $29 with a standard deviation of $11. What can be conduded at the or = 0.05 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: p1 H2 vy (please enter a decimal) H1: p1 H2 (Please enter a decimal) c. The test statistic t v v = 0.987 * (please show your answer to 3 decimal places.) d. The p-value = 0.1755 (Please show your answer to 4 decimal places.) e. The p-value is > vv a f. Based on this, we should fail to reject v V the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically significant at o = 0.05, so there is sufficient evidence to conclude that the mean donation for the 58 Presbyterians that were observed is less than the mean donation for the 49 Catholics that were observed. O The results are statistically significant at o = 0.05, so there is sufficient evidence to conclude that the population mean amount of money that Presbyterians donate is less than the population mean amount of money that Catholics donate. O The results are statistically insignificant at or = 0.05, so there is statistically significant evidence to conclude that the population mean amount of money that Presbyterians donate is equal to the population mean amount of money that Catholics donate. The results are statistically insignificant at or = 0.05, so there is insufficient evidence to conclude that the population mean amount of money that Presbyterians donate is less than the population mean amount of money that Catholics donate.Do men score lower on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 64 71 60 70 92 61 77 90 95 8 Female: 75 77 80 88 87 84 97 99 80 78 69 73 Assume both follow a Normal distribution. What can be concluded at the the o = 0.10 level of significance level of significance? For this study, we should use t-test for the difference between two independent population means v a. The null and alternative hypotheses would be: Ho: p1 = H2 (please enter a decimal) H1: H1 H2 (Please enter a decimal) b. The test statistic t v v = -1.185 (please show your answer to 3 decimal places.) c. The p-value = 0.1250 X (Please show your answer to 4 decimal places.) d. The p-value is > vv a e. Based on this, we should fail to reject vy the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at @ = 0.10, so there is sufficient evidence to conclude that the mean final exam score for the ten men that were observed is less than the mean final exam score for the twelve women that were observed. The results are statistically insignificant at o = 0.10, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women. The results are statistically insignificant at or = 0.10, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is less than the population mean statistics final exam score for women. The results are statistically significant at @ = 0.10, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is less than the population mean statistics final exam score for women. XIs the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 413 of the 560 randomly selected wildfires looked at in the south were caused by humans while 448 of the 557 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the CY = 0.10 level of significance? a. For this study, we should use z-test for the difference between two population proportions b. The null and alternative hypotheses would be: Ho: [p1 = p2 (please enter a decimal) H 1: p1 p2 (Please enter a decimal) c. The test statistic z v V = 2.6562 * (please show your answer to 3 decimal places.) d. The p-value = 0.0039 (Please show your answer to 4 decimal places.) e. The p-value is s vv o f. Based on this, we should reject vy the null hypothesis. g. 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 proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. O The results are statistically insignificant at o = 0.10, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west. O The results are statistically significant at o = 0.10, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. O The results are statistically significant at or = 0.10, so there is sufficient evidence to conclude that the proportion of the 560 wildfires that were caused by humans in the south is lower than the proportion of the 557 wildfires that were caused by humans in the west.Are blonde female college students less likely to have boyfriends than brunette female college students? 412 of the 620 blondes surveyed had boyfriends and 562 of the 772 brunettes surveyed had boyfriends. What can be concluded at the o = 0.01 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 = v p2 vy (please enter a decimal) H1: p1 p2 (Please enter a decimal) b. The test statistic z v V = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is s vv a e. Based on this, we should reject vy the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at o = 0.01, so there is sufficient evidence to condude that the proportion of the 620 blonde college students who have a boyfriend is less than the proportion of the 772 brunette college students who have a boyfriend. O The results are statistically insignificant at o = 0.01, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is less than the population proportion of brunette college students who have a boyfriend. The results are statistically insignificant at or = 0.01, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend. O The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is less than the population proportion of brunette college students who have a boyfriend. g. Interpret the p-value in the context of the study. O If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 620 blonde college students and 772 brunette college students are surveyed then there would be a 0.51% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 6.3% less than the percent of the surveyed brunette college students who have a boyfriend. There is a 0.51% chance of a Type | error.Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 408 of the 640 freshmen psychology majors from a recent study changed their major before they graduated and 369 of the 613 freshmen business majors changed their major before they graduated. What can be concluded at the CY = 0.01 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 p2 (please enter a decimal) H 1: p1 v > v P2 (Please enter a decimal) b. The test statistic z v V = 1.296 (please show your answer to 3 decimal places.) C. The p-value = 0.0968 X (Please show your answer to 4 decimal places.) d. The p-value is > v v c e. Based on this, we should fail to reject vy the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at o = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major. O The results are statistically significant at or = 0.01, so there is sufficient evidence to conclude that the proportion of the 640 freshmen psychology majors who changed their major is greater than the proportion of the 613 freshmen business majors who change their major. O The results are statistically insignificant at or = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major. O The results are statistically significant at or = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major.The medical researcher is comparing two treatments for lowering cholesterol: diet and meds. The researcher wants to see if the patients who receive the recommendation to change their diet have equal success lowering cholesterol compared to a prescription of meds. A random sample of some patients who received the recommendation to change their diet and others who were prescribed meds was taken. The results of how many did or did not lower their cholesterol are shown below: Data on Diet vs. Meds for Weight Loss Diet Meds Yes 408 611 No 140 188 What can be conduded at the CY = 0.05 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 VV E V V p2 vv (please enter a decimal) H : p1 V V # v V p2 v V (Please enter a decimal) b. The test statistic z v V = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is > v o e. Based on this, we should fail to reject v V the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at or = 0.05, so there is insufficient evidence to conclude that the population of all patients who received the recommendation to change their diet is not equally likely to lower their cholesterol as the population of patients who are prescribed meds. O The results are statistically significant at or = 0.05, so there is sufficient evidence to condude that the population of all patients who received the recommendation to change their diet is not equally likely to lower their cholesterol as the population of patients who are prescribed meds. O The results are statistically insignificant at or = 0.05, so we can conclude that the success rate for all patients who receive the recommendation to change their diet is equal to the success rate for all patients who are prescribed meds. The results are statistically significant at or = 0.05, so there is sufficient evidence to conclude that the success rate for the 548 patients who received the recommendation to change their diet is different from the success rate for the 799 patients who were prescribed meds.Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 444 of the 658 Republicans surveyed display the flag on the Fourth of July and 450 of the 653 Democrats surveyed display the flag on the Fourth of July. What can be conduded at the or = 0.05 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 VV E v p2 (please enter a decimal) H1: p1 p2 v V (Please enter a decimal) b. The test statistic z v V = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is > v v a e. Based on this, we should fail to reject vy the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at or = 0.05, so there is sufficient evidence to conclude that the proportion of the 658 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 653 Democrats who displayed the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at or = 0.05, so we can condude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically insignificant at or = 0.05, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically significant at o = 0.05, so there is sufficient evidence to condude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. g. Interpret the p-value in the context of the study. O There is a 28.84% chance of a Type | error. If the percent of all Republicans who display the American flag in front of their residence on the Fourth of July is the same as the percent of all Democrats who display the American flag in front of their residence on the Fourth of July and if another 658 Republicans and 653 Democrats are surveyed then there would be a 28.84% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July would be at least 1.4% less than the percent of the surveyed Democrats who display the American flag in front of 9:11 PM