Programme Code : BCA Course Code : BCSL-044 | More Year : 2013 Views: 2504 Submitted By : archna On 26th March, 2013 Q. Question 1: The total scores X obtained by 50 students in Statistical Technique test of 100 marks are given below: (6 Marks) 80 90 85 55 40 50 40 95 81 82 75 70 80 40 10 55 30 80 80 72 27 95 20 30 85 10 40 23 75 60 50 30 10 10 90 15 20 40 70 65 45 50 40 10 90 20 25 42 70 70 (i) Enter the formula for finding the minimum and maximum scores. (ii) Draw a frequency distribution using descriptive statistics. (iii) Find the percentage of students, who scored above the pass marks of 50. (iv) Find the number of students, who scored between 50 and 80? Question 2: A canned juice company wants to determine the mean weight of a can of canned juice. It takes a random sample of 80 such cans (from several thousand cans in its warehouse) and finds that the mean weight is 201.15 grams and the standard deviation is 0.56 grams (6 Marks) Find a 95% confidence interval for the mean weight of the cans in the firm warehouse. Question 3: A chemical firm wants to determine how four catalysts differ in yield. The firm runs the experiment in eight of its plants type. In each plant, the yield is measured with each catalyst. The yield (in Quintals) is as follows: (10 Marks) Plant Catalyst 1 2 3 4 A 2 1 2 4 B 3 2 1 3 C 1 3 3 1 D 5 4 3 2 E 1 2 4 3 F 2 1 1 2 G 4 3 4 2 H 3 1 4 3 Perform an ANOVA using any software and comment whether yield due to a particular catalyst is significant or not at 5% level of significance. Make suitable assumptions, if any. Question 4: The sales figure of a textile company is given below. Use software to find the moving averages for the length of 5. (6 Marks) Day Sales 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 230 200 250 300 200 225 400 450 415 420 500 300 400 300 315 Question 5: A company manufactures pipes of small diameter. Five observations of diameters of the pipe produced were taken periodically. The following table gives the average of these 5 observations, taken 12 times during a working day. Calculate the control limits for mean and range, and plot the control charts using any statistical software. (6 Marks) The data is given below in the following table: Sample No. Sample values Sample mean 1 2 3 4 5 6 7 8 9 10 11 12 4.06, 4.08, 4.08, 4.08, 4.10 4.10, 4.10, 4.12, 4.12, 4.12 4.06, 4.06, 4.08, 4.10, 4.12 4.06, 4.08, 4.08, 4.10, 4.12 4.08, 4.10, 4.12, 4.12, 4.12 4.08, 4.10, 4.10, 4.10, 4.12 4.06, 4.08, 4.08, 4.10, 4.12 4.08, 4.08, 4.10, 4.10, 4.12 4.06, 4.08, 4.10, 4.12, 4.14 4.06, 4.08, 4.10, 4.12, 4.16 4.12, 4.14, 4.14, 4.14, 4.16 4.14, 4.14, 4.16, 4.16, 4.16 4.08 4.112 4.084 4.088 4.108 4.100 4.088 4.096 4.100 4.104 4.140 4.152 (d2 = 2.326, d3 = 0, d4 = 2.11, A2 = 0.58) Question 6 : Fit a linear trend using any statistical software to the data collected in a unit manufacturing umbrellas, given in the following table. (6 Marks) Month 1 2 3 4 5 6 Demand 46 56 54 43 57 56   No Answer Found

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