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This particular Assignment references the syllabus chosen for the subject of Computer Application, for the July 2022 - January 2023 session. The code for the assignment is BCSL-44 and it is often used by students who are enrolled in the BCA Degree.
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Q1. Weight of the students of a class of 30 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 weight using the spreadsheet formula.
(ii) Create 5 classes with suitable class intervals and create the frequency distribution. You must use Array formula.
(iii) Find the percentage of the students whose weight is less than the mean weight. Also find outlier in the data, if any.
(iv) Draw the histogram for the data given in the table above. Is the data distribution of data normal distribution?
Q2. Perform the following tasks using spreadsheet software (you may use spreadsheet function for computing the value of t):
(i) Find the value of t for the given value of degree of freedom and significance level (alpha):
(ii) A company manufactures rice bags of 10 kg weight. A sample of 50 such rice bags were taken out of a lot consisting of 2000 rice bags. The mean sample weight was found to be 9.95 kg having a standard deviation of 0.06 kg. Assuming random sampling and a confidence level of 95%, will you accept the rice bags assuming that the difference in average weight is due to chance sample. Justify your answer. You should perform all computations using a spreadsheet software. Make suitable assumption, if any.
Q3. A hardware company produces disk brakes; the diameter of each disk brake is required to be exactly 250 mm. The company has four different machines to produce these disk brakes. Each day five samples of each machine are taken and the diameter of disk brakes is measured. The following tables lists these details:
Perform an ANOVA using any software to test (at 5% level) whether all the four machines are producing the disk brakes with correct length. Justify your findings. Make suitable assumptions, if any.
Q4. The rainfall in the first 15 days of July, 2022 is shown in the following table. 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 sugar in a packet of 5 kg. The quality of process of producing the packets of sugar is controlled statistically. To do so, sample of five packets are taken at four different times of the day. 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. The following table shows increase in the average temperature of a city in the month of June for the last 7 years. Fit a trend line using any statistical software to this temperature data. Make suitable assumptions.
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