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74 Question 3 [10] Four detergents' cleaning action were compared. Seventeen pieces of white cloth were first soiled with India ink. After washing the cloth pieces with four different detergents, the whiteness readings for the 17 pieces of cloth are shown below. Detergent A B C D 77 73 76 81 66 78 85 61 58 57 77 76 69 64 69 63 Assuming all whiteness readings to be normally distributed with common variance, test the hypothesis of no difference between the four brands' mean whiteness readings after washing. [Note: Do all calculation round off to two decimals.] Question 4 [9] ATTITUDE Like STA 125 Don't Like STA 125 100 200 GROUP Computer Science Chemical Science Medical Bioscience 120 180 400 100 The following 3 X 2 contingency table concerns students' attitudes towards Statistics 125. Test the null hypothesis of independence (alpha level = 0.01). [Note: Do all calculation round off to three decimals.] Question 5 [3+4= 7] A Pick and Pay basket consist of three products. Listed below is the quantity sold and the price. 2018 2014 Quantity Price Quantity Price Item Sold (rands) Sold (rands) Bread 600 R10 800 R5 Milk 1000 R9 1500 R6 Meat 800 R15 900 R7 a) If price is held constant at 2014 levels, calculate the quantity index of Pick and Pay basket. b) The Paasche Price Index indicates that the price of products have .......... by ..........%. 74 Question 3 [10] Four detergents' cleaning action were compared. Seventeen pieces of white cloth were first soiled with India ink. After washing the cloth pieces with four different detergents, the whiteness readings for the 17 pieces of cloth are shown below. Detergent A B C D 77 73 76 81 66 78 85 61 58 57 77 76 69 64 69 63 Assuming all whiteness readings to be normally distributed with common variance, test the hypothesis of no difference between the four brands' mean whiteness readings after washing. [Note: Do all calculation round off to two decimals.] Question 4 [9] ATTITUDE Like STA 125 Don't Like STA 125 100 200 GROUP Computer Science Chemical Science Medical Bioscience 120 180 400 100 The following 3 X 2 contingency table concerns students' attitudes towards Statistics 125. Test the null hypothesis of independence (alpha level = 0.01). [Note: Do all calculation round off to three decimals.] Question 5 [3+4= 7] A Pick and Pay basket consist of three products. Listed below is the quantity sold and the price. 2018 2014 Quantity Price Quantity Price Item Sold (rands) Sold (rands) Bread 600 R10 800 R5 Milk 1000 R9 1500 R6 Meat 800 R15 900 R7 a) If price is held constant at 2014 levels, calculate the quantity index of Pick and Pay basket. b) The Paasche Price Index indicates that the price of products have .......... by ..........%