PLEASE MATCH YOUR ASSIGNMENT QUESTIONS ACCORDING TO YOUR SESSION
IGNOU MST-21 (January 2025 – December 2025) Assignment Questions
1(a) State whether the following statements are True or False. Give reasons in support of your answer:
(i) If the form of the population is not known and data are in ordinal form then we apply the Wilcoxon Signed rank test for testing hypothesis about average.
(ii) The Neyman-Pearson lemma provides the most powerful test of size α for testing a simple hypothesis against a simple alternative hypothesis.
(iii) The Rao-Blackwell theorem enables us to obtain a manimum variance unbiased estimator through complete statistic.
(iv) For testing goodness of fit when the data are in categorical form, we use K-S test.
(v) In the Bayesian approach, we treat the parameter as a constant.
(b) Differentiate between Rao-Blackwell and Lehmann-Scheffe theorems.
2. A faculty member of a university receives a number of emails. If X represents the number of spam emails in n emails and follows a binomial distribution with parameters (n,θ) where θ is the probability of getting spam email, then find the posterior distribution of θ considering the following beta distribution.
Also, find the posterior mean of θ .
3. A food processing company packages 10 gm of honey in small jars. Previous experience suggests that the volume of a randomly selected jar of the company’s honey is normally distributed with a known variance of 2 gm. Drive likelihood ratio test for testing
4. If the number of weekly accidents occurring on a mile stretch of a particular road follows a Poisson distribution with parameter λ. Then
(i) Find the Cramer-Rao lower bound for the variance.
(ii) Also, find the UMVUE of λ .
5. The following data give the sales of 6 models of mobiles at four different stores. The sales of each mobile (in number of mobiles sold) from each store are given as follows:
IGNOU MST-21 (June 2024 – June 2025) Assignment Questions
1(a) State whether the following statements are True or False. Give reasons in support of your answer:
(i) If the form of the population is not known and data are in ordinal form then we apply the Wilcoxon Signed rank test for testing hypothesis about average.
(ii)The Neyman-Pearson lemma provides the most powerful test of size α for testing a simple hypothesis against a simple alternative hypothesis.
(iii) The Rao-Blackwell theorem enables us to obtain a manimum variance unbiased estimator through complete statistic.
(iv) For testing goodness of fit when the data are in categorical form, we use K-S test.
(v) In the Bayesian approach, we treat the parameter as a constant.
(b) A radar system uses radio waves to detect aircraft. The system receives a signal and based on the received signal, it needs to decide whether an aircraft is present or not. If X denotes the received signal then













