Clear my choice ing: Use the following for questions 20 to 25: At universities some professors are given "distinguished titles" to recognize their achievements. We may want to know it these titled professors differ in age on average from non-titled professors. We collected a random sample of each type of professor. The resulting data was used to create this output. The TTEST Procedure Variable: age title N Mean Std Dev Std Err Minimum Maximum professor 47 59.4255 6.6520 0.9703 38.0005 74.0000 titled 13 61.2308 7.7798 2.1577 51.0000 77.0000 Diff (1-2) -1.8052 BBB 2.1624 title Method Mean 95% CL Mean Std 95% CL St Dev Dev professor 59.4255 57.4724 61.3786 6.6520 5.5277 8.35 titled 61.2308 56.5295 65.9321 77798 5.5788 12.84 Diff (1-2) Pooled -1.8052 -6.1338 2.5233 6.9005 5.8415 8.43 Diff (1-2) Satterthwaite -1.8052 -6.7932 3.1827 Method Variances DF t Value Pr > It| Pooled Equal AAA -0.83 0.4072 Satterthwaite Unequal 17.161 0.76 0.4558C. (59.4253-01.2300) 21 6.6572 47 13 Clear my choice 2 Which distribution was used to find the p-value for the Satterthwaite test shown in the last table? of O a. N(-1.81,2.16) O b. t(17) testion O c. N(0, 1) O d. t(47) Clear my choice on 23 What do we need to assume in order to use the pooled version of this test?20 What do we need to assume for the hypothesis test in this output to be valid? ad Select one or more: out of Va. The distribution of ages among non-titled professors is normally distributed. question b. We have a random sample of each type of professor. Oc. The distribution of difference in ages has a normal distribution. Od. The standard deviation of titled professors is greater than that of non- titled professors. e. Our sample is large enough that the sample mean is normally distributed. The samples are independent of each other g. The distribution of ages among titled professors is normally distributedin estion 21 Which formula was used to calculate the Satterthwaite lie. un-pooled) test it yet statistic shown in the last table? swered Note that values from the output have been rounded in the formulas below. ints out ofWhich formula was used to calculate the Satterthwaite (i.e. un-pooled) test statistic shown in the last table? Note that values from the output have been rounded in the formulas below. Qa (59.4255-61,2308)-0 0 9703- 2.15772 47 13 O b. -1.81052-0 2.1624 134 O C. (59.4255-61.23081-0 5652- 7.7796- 47 Clear my choice Which distribution was used to find the p-value for the Satterthwaite test shown in the last table? 1012 16Clear my choice Which distribution was used to find the p-value for the Satterthwaite test shown in the last table? O a. N(-1.81,2.16) O b. t(17) O c. N(0,1) O d. t(47) Clear my choice What do we need to assume in order to use the pooled version of this test? Select one: re the same.23 What do we need to assume in order to use the pooled version of this test? d Select one: ut of Q a. The sample averages are the same. O b. The population averages are the same question O c. The population variances are the same d. The sample variances are the same. Clear my choice ation 24 The degrees of freedom of the pooled test are missing from this output (replaced by AAA). Calculate this value. Wared mis out of Answer: 58 Flag Question Apint (BBB). Find thisAnswer: 58 The pooled standard deviation is missing from this output (BBB). Find this value to 2 decimal places. Enter only a number in the box (no symbols or letters). Answer: 6.90 An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made the exam harder than he had intended. The scores were very symmetric, but the average score for his was 4 points. The