Q#1: Find the critical value {t value) that form the boundaries of the critical region for a two-tailed test with a = 0.05 for a sample size of T11 =11&n2 =8. Q#2: Two separate samples, each with n = 9 individuals, reeeive different treatments. After treatment, the rst sample has 38 = 540 and the second has 88 = 601. Find the peeled variance for the two samples. Q#3: Two separate samples receive different treatments. After treatment, the rst sample has n = 5 with 38 = 7'9, and the second has n = 11 with 38 = 33. Calculate the estimated standard error for the sample mean difference. Q#4: In an experiment, a group of college students was told that they were participating in a manual skill study. Half of the students were given a stack of money to count, and the other half got a stack of blank pieces of paper. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122 F) and rate how uncomfortable it was. The following data show ratings of pain like the results obtained in the study. Counting Money Counting paper 7, 6, 6, 9, 8,7 9, 4, 8, 2, 7, 5 Is there a significant difference in reported pain between the two conditions? Use a two-tailed test with a = 0.01.Q#5: A random sample of 40 measurements from one population had a sample mean of 11, with sample standard deviation 4. An independent random sample of 50 measurements from a second population had a sample mean of 13, with sample standard deviation 5. Test the claim that the population means are different. Use a 5% level of signicant