A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. If they determine that the average commute time of students in their district is significantly higher than the commonly cited standard they will invest in increasing the number of school buses to help shorten commute time, What would a Type 2 error mean in this context? The local government decides that the average commute time is 30 minutes. The local government decides that the data provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact 30 minutes. The local government decides that the data do not provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact higher than 30 minutes. The local government decides that the data do not provide convincing evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes. 0 Question 8 B 0/1 pt '0 2 Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 11 randomly selected patients who went to the emergency room at rural hospitals waited an average of 3.8 hours to be admitted into the hospital. The standard deviation for these 11 patients was 1.6 hours. What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer V b. The null and alternative hypotheses would be: Ho: '1 V Selectan answer V H1: ? V Seiectan answer V c, The test statistic ? v = (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 ? V a f. Based on this, we should Select an answer V the null hypothesis. g, Thus, the final conclusion is that The data suggest the population mean is not significantly lower than 4 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 4 hours. The data suggest the populaton mean is significantly lower than 4 at a = 0.01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is lower than 4 hours. The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly lower than 4 hours at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is lower than 4 hours. . Question 9 E 0/1 pt '0 2 Currently patrons at the library speak at an average of 67 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 51 people speaking at the library. Their average decibel level was 66 and their standard deviation was 6. What can be concluded at the 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: Ho: 7 V Seiectananswer V H1: '1 V Seiectananswer V c. The test statistic ? V = (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 ? V a f. Based on this, we should Select an answer V the null hypothesis, g, Thus, the final conclusion is that The data suggest the populaton mean has significantly decreased from 67 at at = 0.10, so there is statistically significant evidence to conclude that the population mean decibel level at the library has decreased since the plug in station was built. The data suggest the population mean has not significantly decreased from 67 at at = 0.10, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not decreased since the plug in station was built. The data suggest that the population mean decibal level has not significantly decreased from 67 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has decreased since the plug in station was built, 0 Question 10 IZO/'I pt '0 2 The average American gets a haircut every 39 days. Is the average different for college students? The data below shows the results of a survey of 12 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 44, 33, 50, 4o, 37, 3s, 51, 32, 47, 45, 4o, 35 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this studyy we should use Select an answer V b. The null and alternative hypotheses would be: Ho: 7 V Selectananswer V H1: 7 V Selectananswer V c, The test statistic ? V = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ? V C! f. Based on thisy we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that The data suggest the population mean is not significantly different from 39 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 39. The data suggest the populaton mean is significantly different from 39 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is different from 39. The data suggest the population mean number of days between haircuts for college students is not significantly different from 39 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is different from 39. 0 Question 11 B 0/1 pt '0 z The average final exam score for the statistics course is 7696' A professor wants to see if the average Test the claim that the proportion of men who own cats is significantly different than 20% at the 01 final exam score for students who are given colored pens on the first day of class is higher. The final significance level. exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. The null and alternative hypothesis would be: 97V 79, (,3V 63, 94' 32, (,7V 99' 71V 74' (34V 86 \"H70: p >= 0.2 \"H70: p = 02 "H70: mu = 0.2" \"H70: mu 02 H711muDo2 What can he concluded at the the a = 0.10 level of significance level of significance? a For this study, we should use Select an answer V hr The null and alternative hypotheses would be: H0: ? V Select an answer V The test is: H1: 7 V Selecl an answer V two-tailed left-tailed nght-talled c: The test statistic ? V = (please show your answer to 3 decimal places.) Based on a sample of 600 people, 28% owned cats do The p-value = (Please show your answer to 4 decimal places.) e: The p-value is ? V a The test statistic is: (to 2 decimals) f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final 5\"Clu'lm is that The positive critical value is: (to Z decimals) The data suggest the populaton mean is significantly higher than 76 at a = 0.10, so there is statistically significant evidence to conclude that the population mean final exam score for Based on this we: students who are given colored pens at the beginning of class is higher than 76. _ _ Reject the null hypothesis The data suggest that the population mean final exam score for students who are given _ _ _ colored pens at the beginning of class is not significantly higher than 76 at a = 0.10, so Fa'l t0 reJeCt the "'1\" hypothes\" there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is higher than 76' The data suggest the population mean is not significantly higher than 76 at a = 010, so . Question 13 B on pt 0 2 there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 76: 0 Question 12 E 0/1 pt '0 Z