IGNOU BCS-40- Solved Assignment
Are you looking to download a PDF soft copy of the Solved Assignment BCS 40 Statistical Techniques is the right place for you. This particular Assignment references the syllabus chosen for the subject of Hindi, English, for the Jul 25 – Jan 26, Jul 24 – Jan 25 session. The code for the assignment is BCS-40 and it is often used by students who are enrolled in the BSC (Honours), IGNOU CBCS Solved Assignments Degree. Once students have paid for the Assignment, they can Instantly Download to their PC, Laptop or Mobile Devices in soft copy as a PDF format. After studying the contents of this Assignment, students will have a better grasp of the subject and will be able to prepare for their upcoming tests.
PLEASE MATCH YOUR ASSIGNMENT QUESTIONS ACCORDING TO YOUR SESSION
IGNOU BCS-40 (July 2025 – January 2026) Assignment Questions
(a) Calculate the Mean and Median response time.
(b) Calculate the Standard Deviation of the response times.
(c) Draw a Histogram for the given data.
Q2. To study the relationship between the number of hours spent studying per week and the marks obtained in an examination, a sample of 10 students was taken. The data is as follows:
(a) Calculate the Karl Pearson’s coefficient of correlation between Study Hours and Marks.
(b) Determine the two regression equations (Y on X and X on Y).
(c) Predict the marks of a student who studies for 13 hours a week.
Q3.(a) A software company has two divisions, A and B, developing mobile apps. Division A develops 60% of the apps, and Division B develops 40%. It is known that 5% of apps from Division A have bugs, while 8% of apps from Division B have bugs. If an app selected at random is found to have a bug, what is the probability that it was developed by Division A?
(b) A call center receives an average of 4 calls per minute. Assuming a Poisson distribution, find the probability that in a given minute, the call center receives:
(i) Exactly 2 calls.
(ii) At most 1 call.
(Given e⁻⁴ ≈ 0.0183)
Q4. A manufacturer of LED bulbs claims that the average lifespan of their bulbs is 8000 hours. A random sample of 50 bulbs is tested, and it is found that their average lifespan is 7950 hours with a standard deviation of 120 hours.
Test the manufacturer’s claim at a 5% level of significance. State your null and alternative hypotheses
clearly. (Given Z₀.₀₂₅ = 1.96 for a two-tailed test). (10 Marks)
Q5. A survey was conducted to determine if there is a relationship between a person’s age group and their preferred mode of online payment. The results are tabulated below:
Using the Chi-Square (χ²) test, determine whether the preferred mode of payment is independent of the age group at a 5% level of significance.
(Given χ² critical value for 4 degrees of freedom at α=0.05 is 9.488).
Q6.(a) Explain the key differences between Simple Random Sampling, Stratified Sampling, and Cluster Sampling. Provide a suitable example for each to illustrate its application.
(b) A random sample of size 100 is taken from a large population. The sample mean is found to be 150 and the population standard deviation is known to be 20. Construct a 95% confidence interval for the population mean. (Given Z₀.₀₂₅ = 1.96). (5 Marks)
Q7. An e-commerce company wants to test three different website layouts (Layout A, Layout B, Layout
C) to see if they have a significant effect on the average time (in minutes) a user spends on the site. The
following data was collected from different user groups:
Perform a one-way ANOVA to test the hypothesis that there is no significant difference between the
mean user session times for the three layouts at a 5% level of significance.
(Given F-critical value F(2, 12) at α=0.05 is 3.89).
Q8. (a) The quarterly sales (in thousands of units) of a company from 2022 to 2024 are given below. Calculate the 4-quarterly moving averages to determine the trend.
(b) Explain the purpose of control charts in Statistical Quality Control (SQC). Differentiate between a pchart and a c-chart with respect to the type of data they monitor.
IGNOU BCS-40 (July 2024 – January 2025) Assignment Questions
Q1. In a partially destroyed laboratory, the legible record of analysis of correlation of data, is as follows: 10 Variance of x = 9, Regression equations: (10 Marks)
i) 8x – 10y + 66 = 0
ii) 4x – 18y – 214 = 0
What were (a) the means of x and y, (b) the coefficient of correlation between x and y and (c) the standard deviation of y?
Q2. A) A random sample of size 64 has been drawn from a population with standard deviation 20. The mean of the sample is 80.
(i) Calculate 95% confidence limits for the population mean.
(ii) How does the width of the confidence interval change if the sample size is 256 instead?
B) A population consists of the numbers 2, 5, 7, 8 and 10. Write all possible simple random samples of size 3 (without replacement). Verify that the sample mean is an unbiased estimator of the population mean.
Q3. A computer chip manufacturer claims that at most 2% of the chips it produces are defective. To check the claim of the manufacturer, a researcher selects a sample of 250 of these chips. If there are eight defective chips among these 250, test the null hypothesis that more than 2% of the chips are defective at 5% level of significance. Does this disprove the manufacturer’s claim? (Given that Z0.05 = 1.645)
Q4. A) A problem of statistics is given to three students A, B and C whose chances of solving it are 0.3, 0.5 and 0.6 respectively. What is the probability that the problem will be solved?
B) Suppose 2% of the items made in a factory are defective. Find the probability that there are:
(i) 3 defectives in a sample of 100
(ii) no defectives in a sample of 50
Q5. A Manager of a car company wants to estimate the relationship between age of cars and annual maintenance cost. The following data from six cars of same model are obtained as:
(a) Construct a scatter diagram for the data given above.
(b) Fit a best linear regression line, by considering annual maintenance cost as the dependent variable and the age of the car as the independent variable.
(c) Use this regression line to predict the annual maintenance cost for the car of age 8 years.
Q6. What do you understand by the term forecasting? With the help of a suitable example discuss the relation between forecasting and future planning. Briefly discuss both forecasting model.
Q7. Using the Regression line y =90 + 50x, fill up the values in the table below.
After filling the table, compute the parameters of Goodness to fit i.e. R and R2. Based on the result of R and R2, interpret the correlation between variable x and y.
Q8. Explain the following with the help of an example each:
(a) Linear and circular systematic sampling
(b) Z-test and t-test
(c) Correlation and Regression
(d) Probability Distribution
IGNOU BCS-40 ASSIGNMENTS DETAILS
| University | : | IGNOU (Indira Gandhi National Open University) | |
| Title | : | Statistical Techniques | |
| Language(s) | : | English | |
| Code | : | BCS-40 | |
| Degree | : | BCA | |
| Subject | : | Mathematics | |
| Course | : | Core Courses (CC) | |
| Author | : | ignouedumart.com Panel | |
| Publisher | : | Distance Gyan Publishing House Pvt. Ltd. |
Call us: +91 9466323363
Reviews
There are no reviews yet.