0 Question 14 [:4 011 pt '0 3 8 99 (D Details Do students perform better 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 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use a. The null and alternative hypotheses would be: H0: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic = C] (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 a e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean test score taking the exam alone is greater than the population mean test score taking the exam in a classroom setting. 0 The results are statistically insignificant at a = 0.01 , 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. 0 The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean test score taking the exam alone is greater than the population mean test score taking the exam in a classroom setting. 0 The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the eight students scored higher on average taking the exam alone compared to the classroom setting. 0 Question 15 E 0/1 pt '0 3 8 99 Q) Details ls memory ability before a meal the same as 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 Memo Test Before After .IIIIIIIIIE Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance? For this study, we should use I Select an answer v| a. The null and alternative hypotheses would be: He: (please enter a decimal) H1: [Select an answer v] I Select an answer v] I Select an answer vI (Please enter a decimal) b. The test statistic = C] (please show your answer to 3 decimal places.) c. The p-value = C] (Please show your answer to 4 decimal places.) d. The p-value is a e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal. 0 The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal 0 The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal. 0 The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the nnnulal'inn mean memnrvr srnre after a meal. g. Interpret the p-value in the context of the study. 0 There is a 1.2% chance that the mean memory score for the 10 people who took the test before a meal differs by at least 5.8 points compared to the mean memory score for the 10 people who took the test after a meal. 0 If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.2% chance of concluding that the mean memory score for the 10 people who took the test before a meal differs by at least 5.8 points compared to the mean memory score for the 10 people who took the test after a meal. 0 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 1.2% chance that the mean memory score for the 10 people who took the test before a meal would differ by at least 5.8 points compared to the mean memory score for the 10 people who took the test after a meal. 0 There is a 1.2% chance of a Type I error. h. Interpret the level of significance in the context of the study. 0 There is a 10% chance that the population mean memory score is the same before and after a meal. 0 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 10% chance that we would end up falsely concuding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. 0 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 10% chance that we would end up falsely concuding that the population mean memory score before a meal is not the same as the population mean memory score after a meal 0 There is a 10% chance that your memory is so bad that you have already forgotten what this chapter is about. 0 Question 16 E\" 0/1 pt '0 3 8 99 6) Details Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 60 randomly observed members of the Presbyterian church donated an average of $25 with a standard deviation of $5. The 60 randomly observed members of the Catholic church donated an average of $31 with a standard deviation of $14. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer v b. The null and alternative hypotheses would be: H0 : Select an answer v Select an answer v Select an answer v (please enter a decimal) H1 : Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic = [:] (please show your answer to 3 decimal places.) cl. The p-value = [2 (Please show your answer to 4 decimal places.) e. The p-value is oz f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The results are statistically insignificant at a = 0.10, 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. 0 The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean donation for the 60 Presbyterians that were observed is less than the mean donation for the 60 Catholics that were observed. 0 The results are statistically insignificant at a = 0.10, 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. 0 The results are statistically significant at a = 0.10, 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. 0 Question 17 E 0/1 pt '0 3 Z 99 (D Details Do the poor spend less time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 8 Rich: 32 20 29 22 20 23 16 27 11 34 27 12 16 48 17 12 18 53 37 23 Assume both 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 a. The null and alternative hypotheses would be: H0: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic = [:] (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 a e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is less than the population mean time in the shower for the rich. 0 The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich. 0 The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is less than the population mean time in the shower for the rich. 0 The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean time in the shower for the ten poor people that were surveyed is less than the mean time in the shower for the eleven rich people that were surveyed. 0 Question 18 E 0/1 pt '0 3 8 99 6) Details Is a weight loss program based on exercise less effective than a program based on diet? The 45 overweight people put on a strict one year exercise program lost an average of 30 pounds with a standard deviation of 8 pounds. The 48 overweight people put on a strict one year diet lost an average of 33 pounds with a standard deviation of 9 pounds. What can be concluded at the a = 0.05 level of significance? a- For this study, we should use b. The null and alternative hypotheses would be: H0: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic = C] (please show your answer to 3 decimal places.) d. The p-value = [3 (Please show your answer to 4 decimal places.) e. The p-value is 01 f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet. 0 The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet. 0 The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean weight loss for the 45 participants on the exercise program is less than the mean weight loss for the 48 participants on the diet. 0 The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet. h. Interpret the p-value in the context of the study. 0 There is a 4.62% chance that the mean weight loss for the 45 participants on the exercise program is at least 3 pounds less than the mean weight loss for the 48 participants on the diet. 0 If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 48 participants on the exercise program and on the diet are observed then there would be a 4.62% chance that the mean weight loss for the 45 participants on the exercise program would be at least 3 pounds less than the mean weight loss for the 48 participants on the diet. 0 There is a 4.62% chance of a Type I error. 0 If the sample mean weight loss for the 45 participants on the exercise program is the same as the sample mean weight loss for the 48 participants on the diet and if another 45 participants on the exercise program and 48 participants on the diet are weighed then there would be a 4.62% chance of concluding that the mean weight loss for the 45 participants on the exercise program is at least 3 pounds less than the mean weight loss for the 48 participants on the diet i. Interpret the level of significance in the context of the study. 0 If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 48 participants on the exercise program and on the diet are observed then there would be a 5% chance that we would end up falsely concluding that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet 0 If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 48 participants on the exercise program and on the diet are observed then there would be a 5% chance that we would end up falsely concluding that the sample mean weight loss for these 45 and 48 participants differ from each other. C There is a 5% chance that you are such a beautiful person that you never have to worry about your weight. 0 There is a 5% chance that there is a difference in the population mean weight loss between those on the exercise program and those on the diet. 0 Question 19 E 0/1 pt '0 3 8 99 6) Details Do rats take the same amount of time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 22, 38, 15, 17, 33, 54, 33, 24 Hamsters: 25, 13, 13, 8, 22, 6, 24, 22 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance? For this study, we should use Select an answer v a. The null and alternative hypotheses would be: H0 : Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic = C] (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 a e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean time to complete the maze for rats is equal to the population mean time to complete the maze for hamsters. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean time to complete the maze for the eight rats is not the same as the mean time to complete the maze for the eight hamsters. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time to complete the maze for rats is not the same as the population mean time to complete the maze for hamsters. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean time to complete the maze for rats is not the same as the population mean time to complete the maze for hamsters. g. Interpret the p-value in the context of the study. 0 There is a 3.16% chance of a Type I error. 0 If the population mean time to complete the maze for rats is the same as the population mean time to complete the maze for hamsters and if another 8 rats and 8 hamsters are observed then there would be a 3.16% chance that the mean time to complete the maze for the 8 rats would differ by at least 12.9 seconds compared to the mean time to complete the maze for the 8 hamsters. 0 If the sample mean time to complete the maze for the 8 rats is the same as the sample mean time to complete the maze for the 8 hamsters and if another 8 rats and 8 hamsters are observed then there would be a 3.16% chance of concluding that the mean time to complete the maze for the 8 rats differs by at least 12.9 seconds compared to the mean time to complete the maze for the 8 hamsters. 0 There is a 3.16% chance that the mean time to complete the maze for the 8 rats differs by at least 12.9 seconds compared to the mean time to complete the maze for the 8 hamsters. h. Interpret the level of significance in the context of the study. 0 If the population mean time to complete the maze for rats is the same as the population mean time to complete the maze for hamsters and if another 8 rats and 8 hamsters are observed, then there would be a 1% chance that we would end up falsely concluding that the sample mean time to complete the maze for these 8 rats and 8 hamsters differ from each other. C There is a 1% chance that the population mean time to complete the maze for rats and hamsters is the same. 0 If the population mean time to complete the maze for rats is the same as the population mean time to complete the maze for hamsters and if another 8 rats and 8 hamsters are observed then there would be a 1% chance that we would end up falsely concluding that the population mean time to complete the maze for rats is not the same as the population mean time to complete the maze for hamsters 0 There is a 1% chance that the rat will eat the hamster. 0 Question 20 E 0/1 pt '0 3 8 99 (D Details Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 372 of the 502 randomly selected wildfires looked at in the south were caused by humans while 385 of the 539 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the C! = 0.05 level of significance? a. For this study, we should use I Select an answer V] b. The null and alternative hypotheses would be: H 0: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic = [2 (please show your answer to 3 decimal places.) d. The p-value = I:] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west. 0 The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is higher than the population proportion of wildfires caused by humans in the west. 0 The results are statistically insignificant at a = 0.05, 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. 0 The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the proportion of the 502 wildfires that were caused by humans in the south is higher than the proportion of the 539 wildfires that were caused by humans in the west. 0 Question 21 E" 011 pt '0 3 8 99 6) Details Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 404 of the 666 Republicans surveyed display the flag on the Fourth of July and 477 of the 764 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the or = 0.01 level of significance? For this study, we should use Select an answer v a. The null and alternative hypotheses would be: H0: Select an answer v Select an answer v Select an answer v (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic = C] (please show your answer to 3 decimal places.) c. The p-value = C] (Please show your answer to 4 decimal places.) d. The p-value is a e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that O The results are statistically insignificant at a = 0.01, so we can conclude 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. 0 The results are statistically significant at a = 0.01 , so there is sufficient 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. 0 The results are statistically insignificant at a = 0.01, 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. 0 The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 666 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 764 Democrats who displayed the American flag in front of their residence on the Fourth of July. _. I._-._.___.__n.'_l__ ._ _._ LI__ _ .._.... _'LI._ .1..._I. a g. Interpret the p-value in the context of the study. 0 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 666 Republicans and 764 Democrats are surveyed then there would be a 24.57% 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 1.8% less than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July. 0 If the sample proportion of Republicans who diSplay the American flag in front of their residence on the Fourth of July is the same as the sample proportion of Democrats who display the American flag in front of their residence on the Fourth of July and if another another 666 Republicans and 764 Democrats are surveyed then there would be a 24.57% chance of concluding that Republicans are at least 1.8% less likely to display the American flag in front of their residence on the Fourth of July 0 There is a 24.57% chance that Republicans are at least 1.8% less likely to display the American flag in front of their residence on the Fourth of July. 0 There is a 24.57% chance of a Type I error. h. Interpret the level of significance in the context of the study. 0 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 666 Republicans and 764 Democrats are surveyed then there would be a 1% chance that we would end up falsely concuding 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 0 There is a 1% chance that the American flag will be redesigned with your picture on it to honor you for passing this class. 0 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 666 Republicans and 764 Democrats are surveyed then there would be a 1% chance that we would end up falsely concuding that the proportion of these surveyed Republicans and Democrats who display the American flag in front of their residence on the Fourth of July differ from each other. 0 There is a 1% chance that there is a difference in the proportion of Republicans and Democrats Who display the American flag in front of their residence on the Fourth of July. O Question 23 0/1 pt 9 3 99 0 Details Suppose a random sample of 1314 Californians who own their own homes were surveyed. The table below shows the results of the survey Observed Frequencies of Political Affiliation from the Sample Outcome Observed Frequency Democrat 618 Republican 368 Independent/Other | 328 The second column of the table below shows the distribution of political affiliation for the entire population of California voters. Fill in the expected frequencies. Round to two decimal places, if necessary. Frequencies of Political Affiliation Expected Outcome Percent Expected Frequency Democrat 42 Republican 32 Independent/Other 260 Question 24 IE 0/1 pt '0 3 23 99 G Details You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 396 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency b. What is the correct statistical test to use? Select an answer v c. What are the null and alternative hypotheses? H0 1 O The traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is uniform. O The distribution of traffic is not uniform. O The traffic and lanes are independent. 0 The distribution of traffic is not uniform. O The distribution of traffic is uniform. O The traffic and lanes are dependent. {a d. The degrees of freedom = C] e. The test-statistic for this data = C] (Please show your answer to three decimal places.) f. The p-value for this sample = C(Please show your answer to four decimal places.) g- The P-Value is a h. Based on this, we should i. Thus, the final conclusion is... Q There is sufficient evidence to conclude that the distribution of traffic is not uniform. Q There is insufficient evidence to conclude that the distribution of traffic is not uniform. 0 There is sufficient evidence to conclude that traffic and lanes are dependent. 0 There is insufficient evidence to conclude that traffic and lanes are dependent. 0 There is sufficient evidence to conclude that the distribution of traffic is uniform. 0 Question 38 E 0/1 pt '0 3 8 99 (D Details Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's Weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Formula C Formula B Formula A 22 35 26 2 65 37 51 34 61 59 57 29 56 51 52 31 27 25 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.05. Ho: #1 2 #2 = #3 H1: At least two of the means differ from each other. 1. For this study, we should use 2. The test-statistic for this data = C] (Please show your answer to 3 decimal places.) 3. The p-value for this sample = [:1 (Please show your answer to 4 decimal places.) 4- The p-value 1'5 0t 5. Base on this, we should hypothesis 6. As such, the final conclusion is that... 0 There is insufficient evidence to support the claim that nutritional formula type is a factor in weight gain for rats. 0 There is sufficient evidence to support the claim that nutritional formula type is a factor in weight gain for rats