All MCQs - Lecturer Statistics Past Papers and Syllabus Practice | PakExamPoint

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All MCQs and revision practice

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31. When several unbiased samples are drawn from the same population, the sampling technique is?

جب ایک ہی آبادی سے متعدد غیر جانبدار نمونے تیار کیے جاتے ہیں، تو نمونے لینے کی تکنیک کیا ہے؟

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Answer: Random Sampling

Explanation When several unbiased samples are drawn from the same population, the sampling technique is Random Sampling. In random sampling , each member of the population has an equal chance of being selected , and the samples are drawn independently. This allows for the calculation of sampling distributions and the estimation of population parameters.

32. While UK has earned record revenue this year, __________ well behind in exports.

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Answer: It still lags

Explanation "While the UK has earned record revenue this year, it still lags well behind in exports." It still lags means یہ اب بھی پیچھے ہے This indicates that despite high revenue , the UK is still significantly behind in export performance.

33. Which hypothesis tell us weather test is one tail or 2 tail?

کون سا مفروضہ ہمیں بتاتا ہے کہ ٹیسٹ ایک دم ہے یا 2 دم؟

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Answer: Alternate hypothesis

Explanation The alternate hypothesis is also known as the alternative hypothesis. It determines whether a test is one-tailed or two-tailed.

34. The first census in Pakistan was held in?

پاکستان میں پہلی مردم شماری کب ہوئی؟

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Answer: 1951

Explanation The first census in Pakistan was held in 1951 . Additional information : Total nationwide censuses in Pakistan: 7 1st Census: 1951 2nd Census: 1961 3rd Census: 1972 4th Census: 1981 5th Census: 1998 6th Census: 2017 7th Census: 2023 Frequency: Every 10 years (approx.) Historical start: 1872 (British rule, first census in the region) Last verified on 17-01-2026

35. Which of the following value is used as a summary measure for a sample?

مندرجہ ذیل میں سے کون سی قدر نمونے کے خلاصے کی پیمائش کے طور پر استعمال ہوتی ہے؟

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Answer: Sample statistic

Explanation A sample statistic is a numerical value that summarizes a characteristic of a sample. Such as the sample mean , sample proportion, sample variance, etc.

36. Which of the following statements is true about the type-II error?

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Answer: Type-II error means to accept an incorrect hypothesis

Explanation A Type-II error means accepting an incorrect hypothesis (or failing to reject a false null hypothesis). This means that the test or experiment has failed to detect a significant effect or difference when it actually exists.

37. She is going to quit her job ________ they give her a pay rise.

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Answer: Unless

Explanation She is going to quit her job unless they give her a pay rise. وہ اپنی نوکری چھوڑ دے گی جب تک کہ وہ اسے تنخواہ میں اضافہ نہ کریں۔ * "We use ' unless ' to express a condition . It means if the company doesn't give her a pay raise, she'll quit."

38. When the production of a thing is maximum, this state is called?

جب کسی چیز کی پیداوار زیادہ سے زیادہ ہو تو اس حالت کو _____ کہتے ہیں؟

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Answer: Boom

Explanation A boom is a period of maximum production , high demand, and rapid economic growth. It's a time of high economic activity and prosperity.

39. X is a uniform variate between 0 and 3. The value of E(X²) is?

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Answer: 3

Explanation Since X is a uniform variate between 0 and 3 , the probability density function (pdf) of X is: f(x) = 1/3 for 0 ≤ x ≤ 3 To find E(X²), we need to calculate the expected value of X², which is: E(X²) = ∫x²f(x)dx = ∫(x²/3)dx from 0 to 3 Evaluating the integral, we get: E(X²) = (1/3)∫x²dx from 0 to 3 = (1/3) [(3³)/3] = 3 So, the expected value of X² is 3.

40. The probability of getting 3 tails when balanced coins are tossed once?

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Answer: 1/8

Explanation When 3 coins are tossed , there are 2^3 = 8 possible outcomes. Only one of these outcomes is TTT (3 tails), so the probability is 1/8.

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