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18:08 Thu, 29 Dec < STF1093_Tutorial 3_16122022 (1) a * e 840/0' 11. 111. lv. VI. find the critical value compute the test (calculated) value make your decision summarise the results and conclude your findings, and if there is a difference, proceed to the post hoc test 1. 2. Notes: Ifthe null hypothesis IS rejectd,ise theTukey HSD test when sample sues equal and Bonferroni test when sample sizes are unequal. Assume all variables are normally distributed, and that the samples are independent, and that the Population variances are equal. A school board official wishes to see whether there is a difference in the average age of teachers, administrators, and support staff in the local school district. Employees are randomly selected, and their ages are recorded as shown in the table. At a = 0.05, can the school board member conclude that the average ages of the three groups differ? Teachers 24 27 26 50 48 40 Administrators 59 35 29 40 39 54 56 Support staff 34 29 35 31 45 (10 marks) The grade point averages of students participating in college sports programs are compared and the data are shown below. Using a = 0.05, conclude whether there is a difference in the mean GPA of the three groups. Football 3.2 2.6 2.4 2.4 1.8 STF1093 Statistics for Biology 1 Basketball 3.8 3.1 2.6 3.9 3.3 Hockey 2.6 1.9 1.7 2.5 1.9 (20 marks) 3. Three different relaxation techniques are given to randomly selected patients in an effort to reduce their stress levels. A special instrument has been designed to measure the percentage of stress reduction in each person. The data are shown below. At a = 0.05, can one conclude that there is a difference in the means of the percentages? Technique I 3 10 5 1 13 3 4 Technique II Technique III 12 12 17 13 18 9 14 15 14 18 14 20 22 16