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PPSC · PMS Punjab 2023

Statistics, Paper II

100 marks · 3 hours · 8 questions
This paper Statistics · all yearsQ. 1 · Given the population: [2,3,4,5,6,7].Q. 2 · Explain in brief the process…Q. 3 · A farmer wishes to test…Q. 4 · Explain in brief the components…Q. 5 · Explain the concept of an…Q. 6 · Enlist the statistical organizations in…Q. 7 · Describe the system for collection…Q. 8 · Define Analysis of Variance and…With this paper← 2023
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Q. 1
  1. (a)Given the population: [2,3,4,5,6,7].
  2. (b)Explain in brief the Central limit theorem.
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Q. 2
  1. (a)Explain in brief the process of point estimation by moment methods.
  2. (b)Explain in brief the process of point estimation by maximum likelihood methods.
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Q. 3

A farmer wishes to test the effects of four different fertilizers (A, B, C, and D) on the yield of wheat. In order to eliminate sources of error due to variability in soil fertility, he uses the fertilizers in a Latin-square arrangement, as shown in the following table where the numbers indicate yields in bushels per unit area. Perform an analysis of variance to determine whether there is a difference between the fertilizers at significance level of 0.05.

  1. (a)A 9 D 13 B 6 C 12 B 3 D 16 B 2 A 6 C 10 A 11 C 14 D 15 C 13 D 12 B 1 A 8 1. Data Arrangement ( 4 4×44 \times 4 Latin Square) The yield data is organized into a 4 4×44 \times 4 matrix:
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Q. 4
  1. (a)Explain in brief the components of a time series.
  2. (b)The following table shows the monthly new housing starts (in thousands) for a certain country from January 1990 through December 1992.
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Q. 5
  1. (a)Explain the concept of an index number.
  2. (b)Given the data below:
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Q. 6

Enlist the statistical organizations in Pakistan and discuss their roles.

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Q. 7
  1. (a)Describe the system for collection of vital statistics in Pakistan.
  2. (b)Calculate the Crude and Standardized death rates of 2022 population by (i) direct and (ii) indirect methods, using 2000 population as a standard.
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Q. 8
  1. (a)Define Analysis of Variance and its assumptions.
  2. (b)Given the following observations recorded from three groups A: 47.2 49.8 48.5 48.7 B: 50.1 49.3 51.5 50.9 C: 49.1 53.2 51.2 52.8 52.3 Test the hypothesis that means of three groups are equal.
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About this paper

The 2023 PMS Punjab Statistics paper set by the PPSC. Question wording only; questions marked “Not yet checked” have not been compared with the official paper yet.

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