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2. A psychological study was carried out in order to compare the response times in seconds) of two groups of people with respect to a certain stimulus. Two independent SRS of 50 people from group A and 50 people from group B were employed in the experiment. The results are shown in the table below. Is the data showing enough evidence for suggesting a difference between the average response for people from the two groups, with a = 0.05? Assume the variances are equal. Group A ni 50 1 = 3.6 = sî = 0.18 sź = 0.14 Group B n2 50 X2 = 3.8 =

3. The data below are the yields of four varieties of oats, each planted in three fields. Use 5% level of significance. Variety Yield 1 10 20 0 2 200 0 100 3 90 800 700 4 100 20 40 (a) Complete an analysis of variance (ANOVA) table for these data and test to determine if there are significant differences among the means of the varieties. (b) Follow up your analysis by using an appropriate method to identify, if any, which groups differ from which.