BSc Sem IV 2022 2023 Mar 2023 STATISTICS II Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Answer the following questions
   • a) Correct the following if necessary: (10M)
   • i. Alternative Hypothesis accepted if all means are different
   • i. ANOVA is alternative of t -test il. In ANOVA we test equality of variance
   • iv. On RBD the total sum of square is divided into three factors
   • v. Is RBD all three principles are used
   • b) Answer in One sentence: (10M)
   • i. What is Replication
   • ii. Formula for df of SSE iil. RBD stands for?
   • iv. Write full form of SST
   • v. Write the formulae for TSS of One way ANOVA
2. Q2 Attempt any TWO (20M)
   • a) Write down the ANOVA table for two One way classification
   • b) The following are the data represent the number of units of production per day turned out by 5 different workmen using different types of machines Test whether the production mean is same for {our different machines types Test whether five men differ with respect to mean production
   • c) Explain the procedure of obtaining various sum of squares inone way
3. Q3 Attempt any TWO (20M)
   • a) what is CRD? State basic assumptions
   • b) Write a note on LSD, also write mathematics model
   • c) Apply the techniques of Analysis of variance to the following data relating to yields of a 3 varieties of wheat in 3 blocks Attempt any TWO (20M)
   • a) Obtain expression from various mean sum of squares of LSD
   • b) Describe table of LSD — C.F = 65.24, with equal degree of freedom 3, Analysis the data and give
4. Q5 Attempt any TWO (20M)
   • a) Obtain ANOVA table for two way classification Two way ANOVA table and give conclusion
   • c) Explain in brief the concept of design of Experiments

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