2nd Year Statistics Guess Paper

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• Chapter No.10:  1- Write p.d.f. of standard normal distribution. 2- Find the value of maximum ordinate for a normal distribution with mean 25 and variance 16. 3- If 𝑍~𝑁(0,1), then find the value of a such that 𝑃(𝑍 > 𝑎) = 0.025 4- If 𝑋~𝑁(40,49), find median and standard deviation? 5- In a normal probability distribution, what are the first four moments about mean? 6- In a normal distribution 𝑄1 = 8 ,𝑄3 = 17. Find the value of mean and mode.
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• Chapter No.11:  Define sample and sampling? 2- Explain sampling with replacement and without replacement? 3- Define sampling distribution of means. 4- Find 𝜎𝑥̅ if 𝜎 2 = 2.25 and n = 4. 5- If 𝑛1 = 𝑛2 = 2 and 𝑃1 = 1 3 , 𝑃2 = 2 3 , find 𝐸(𝑃̂ 1 − 𝑃̂ 2) and 𝜎𝑃̂1−𝑃̂2 ? Here 𝑃1 𝑎𝑛𝑑 𝑃2 are population proportions. 6- What is population? 7- What is non-sampling error? 8- Explain the properties of the sampling distribution of a mean?
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• Chapter No.12:  Explain what is meant by statistical estimation. 2- Given 𝑛 = 4 , ∑ 𝑋 = 120 , ∑(𝑋 − 𝑋̅) = 303 , compute the best unbiased estimates of the population mean 𝜇 and of variance 𝜎 2 . 3- Define interval estimation. 4- Differentiate between estimate and estimator. 5- What is meant by estimation?
• Chapter No.13:  1- Distinguish between null hypothesis and alternative hypothesis. 2- Define simple hypothesis. 3- If 𝛼 = 0.05, what will be the value of 𝑍𝛼 2 ? 4- What are the assumptions of student’s t-statistics? 5- Define level of significance. 6- Given 𝑋̅ = 28 , 𝜇0 = 28. Find the value of z-score. 7- Define acceptance region.
• Chapter No.14: 1- Express two properties of regression line. 2- What is meant by intercept? 3- Differentiate between regressor and regressand? 4- Write any two formulae of correlation co-efficient. 6- Write down any two properties of correlation co-efficient. 7- Sketch scatter diagram indicating negative correlation. 8- Explain the term regression co-efficient. 13- What is difference between correlation and correlation coefficient? 14- Interpret the meaning when r = 0. 15- Define negative correlation and positive correlation. 16- Define regression analysis.
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• Chapter No.15:  1- Define contingency table. 2- Define rank correlation. 3- Give formulae for spearman’s rank correlation. 4- Give formulae for yule’s co-efficient of association. 5- Define class and class frequency in contingency table. 6- Define the term dichotomy for attributes. 7- What is positive and negative association? 8- What is a contrary class? 
• Chapter No.16:  1- Define analysis of time series. 2- Write down main components of time series. 3- Write two merits of moving average method. 4- Define seasonal variations. 5- Define principle of least square. 6- Write down two properties of least square line. 7- Enlist the different methods of measuring secular trend. 8- Define time series in short
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• Chapter No.17:  1- Differentiate between hardware and software. 2- What is secondary storage> explain with examples. 3- What is computer software? 4- What is compiler? 5- Define central processing unit. 6- What is a super computer? 7- What do you understand by ALU? 8- What is mean by programming? 9- What is minicomputer? 10- What do you know about DOS? 11- Write down the names of different computers. 12- What is CPU?