IGNOU BCSL-044 Statistical Techniques Lab Solved Assignment 2019-20
Course Code : BCSL-044
Course Title : Statistical Techniques Lab
Assignment Number : BCA(4)/044/Assignment/2019-20
Maximum Marks : 50
Weightage : 25%
Last Dates for Submission : 15th October, 2019 (for July 2019 Session)
15th April, 2020 (for January 2020 Session)
Note: There are six questions in this assignment, which carries 40 marks. The rest 10 marks are for viva-voce. Answer all the questions. Please go through the guidelines regarding assignments given in the Programme Guide for the format of the presentation.
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All the following questions must be performed using a statistical package. You may use any statistical package for this purpose.
Q1. Height of students of a class having 40 students was recorded. This data is given in the following table. Perform the tasks given in (i) to (iv) on the data given below using a spreadsheet package:
(i) Find the minimum and maximum height using spreadsheet formula.
(ii) Create 8 classes with suitable class intervals and create the frequency distribution. You must use an Array formula.
(iii) Find the percentage of the students whose height is less than the mean height.
(iv) Draw the histogram for the data above. Also, try to relate it to the normal distribution curve.
Q2. Perform the following tasks using a spreadsheet (you must either enter the necessary formula that are required to calculate the value or you may use spreadsheet function for the same):
(i) Find the value of t for the given value of degree of freedom and significance level (alpha):
(ii) A company manufactures bearings of diameter of size 0.5 cm. A sample of 10 such bearings were taken out of a lot consisting of 1000 bearings. The mean sample width was found to be 0.5020 cm having a standard deviation of 0.0009 cm. Assuming random sampling and a confidence level of 95%, will you accept the bearings. Justify your answer. Make suitable assumptions, if any.
Q3. A Pharmaceutical Company produces a medicine involving 10 mg of a chemical. The company has four different plants to produce this medicine. Each day five samples of each plant are taken and the quantity of the chemical in them is determined. The following tables list these details:
Perform an ANOVA using any software to test (at 5% level) whether all the four plants are producing the medicine with the correct amount of chemical. Justify your findings. Make suitable assumptions, if any.
Q4. Sales of a departmental store are calculated on daily basis. The following table lists the sales data for the first 15 days of September month. Use spreadsheet software to find the moving averages for the length of 3 and 5. Also, draw suitable graphs of these moving averages.
Q5. A company packs soap solutions in sealed bottle of 2 liters. The quality of process of producing the bottles is controlled statistically. To do so four different samples are taken at different time each day having 5 samples each. Calculate the control limits for mean and range, and plot the control charts using any statistical software. Make suitable assumptions, if any.
The data is given in the following table:
Q6. An Icecream vendor records the sale of Ice cream in different months as given in the following table. Fit a trend line using any statistical software to this sales data. Make suitable assumptions.
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