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Q1. Three learning analysts adopted different sampling techniques while investigating and 4 classifying a group of students from a cohort to offer different skill development software. Number of students falling in different intelligence levels are provided below. Number of students in intelligence levels Learning Analyst Below average Average Above average Excellent 186 160 144 110 151 140 130 70 95 144 110 60 Would you say that the sampling techniques adopted by the three analysts are significantly different at 5% level of significance? Follow six steps approach to answer your question. Q2. A city emergency service department claims that its median response time to 999 calls in the inner city is five minutes or less. Shown below is a random sample of response times (in minutes) to 999 calls in the inner city. 6 7 2 3.5 10 4.5 5 7 9 3 8 9 6 6 5 5.5 4 11 6 8.5 15 8 10 4.5 4 3 7.5 Using a = 0.05, can you conclude that the median response time to all 91 1 calls in the inner city is lower than five minutes? Follow six steps approach to answer your question. Q3. The Austing Merchandising Company wishes to test whether five of its salesman M, N, W, X, and Y tend to make sales of the same size or whether they differ in their selling ability as measured by the average size of their sales. During the last week A made 5, B made 4, C made 6, D made 5, and E made 3 calls. Their weekly sales records are provided in the following table. M N W X Y 70 60 30 60 40 30 30 40 50 60 40 30 30 0 60 40 50 20 50 0 30 20 (a) At 1% level of significance, conduct ANOVA to test whether the salesmen's average A sales differ in size. (b) Show that SST = SSB + SSW NN (c) Calculate the within sample variance and interpret the result. Page 1 of 2 Q4. In garment industries, dexterity and eye-hand coordination plays a vital role in most of the labour intensive works. Owner of a garment factory sent several unskilled workers to a training program to improve the dexterity and eye-hand coordination. The effect of training program is then evaluated by comparing the pre and post training scores of those employees. Use the following data to test at 5% level of significance that the training program does not enhance employees skills in labour intensive works. Pre training 65 72 78 60 65 70 76 79 71 72 75 76 68 67 70 Post training 58 74 70 64 45 70 70 72 63 68 66 80 75 66 72 Follow six steps approach to answer the above mentioned question. The End