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Andy Thompson is a dean at a local college. He is trying to find out whether the population mean GPA of undergraduate students at his college who have at least one job during the semester is different than the population mean GPA of undergraduate students who do not have a job during the semester. Andy conducts research on the topic and assumes that the population standard deviation is 0.59 for undergraduates who have at least one job during the semester and 0.68 for undergraduates who do not have a job during the semester. Andy conducts a survey of the undergraduate student body and randomly selects students to ask whether they have a job during the semester and what their GPA is. The results of the survey are displayed in the table below. Let a = 0.05, p be the population mean GPA of students at the college who have at least one job during the semester, and /2 be the population mean GPA of students at the college who do not have a job during the semester. If the test statistic is z # 0.71 and the rejection region is less than -zo.025 # -1.960 or greater than 20.025 # 1.960, what conclusion could be made about the population mean GPA of undergraduates at the college who have at least one job during the semester and those who do not have a job during the semester? Identify all of the appropriate conclusions. Have At Least One Job Do Not Have a Job X1 = 2.79 X2 - 2.71 71 = 56 12 = 73 Select all that apply. Reject the null hypothesis. Fail to reject the null hypothesis. There is insufficient evidence at the a = 0.05 level of significance to conclude that the population mean GPA of undergraduate students at the college who have at least one job during the semester is different than the population mean GPA of undergraduate students at the college who don't have a job during the semester. There is sufficient evidence at the a = 0.05 level of significance to conclude that the population mean GPA of undergraduate students at the college who have at least one job during the semester is different than the population mean GPA of undergraduate students at the college who don't have a job during the semester.34. An academic medical center surveyed all of its patients in 2002 to assess their satisfaction with medical care. Satisfaction was measured on a scale of 0 to 100, with higher scores indicative of more satisfaction. The mean satisfaction score in 2002 was 84.5. Several quality-improvement initiatives were implemented in 2003 and the medical center is wondering whether the initiatives increased patient satisfaction. A random sample of 125 patients seeking medical care in 2003 was surveyed using the same satisfaction measure. Their mean satisfaction score was 89.2 with a standard deviation of 17.4. Is there evidence of a significant improvement in satisfaction? Run the appropriate test at the 5% level of significance