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

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All MCQs and revision practice

Study All through multiple-choice questions in Lecturer Statistics Past Papers and Syllabus. This subtopic contains 51 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.

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21. Which of the following is the correct statement regarding the coefficient of correlation?

درج ذیل میں سے کونسی فیکٹ آف ریلیشن کے حوالے سے درست بیان ہے؟

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Answer: It is independent of both the scale and origin

Explanation The correct statement regarding the coefficient of correlation is: It is independent of both the scale and origin.

22. If K denotes the degree of freedom, then the variance of Chi-square distribution is?

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Answer: 2k

Explanation The variance of a Chi-square distribution with k degrees of freedom is 2k. This means that as the degrees of freedom (k) increase , the variance of the Chi-square distribution also increases. It indicating greater spread or dispersion in the data.

23. A real gas obeying Van der Waals will resemble ideal gas if ______?

وین ڈیر والز کی تعمیل کرنے والی ایک حقیقی گیس مثالی گیس سے ملتی جلتی ہوگی اگر ______؟

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Answer: A small and B larger

Explanation In Van der Waals equation , ‘ a ’ accounts for intermolecular forces and ‘ b ’ for volume of gas molecules. A small ‘a’ (weak attraction) and large ‘b’ (small molecular size) make a real gas behave more like an ideal gas.

24. Which of the following statements about the Central Limit Theorem (CLT) is correct?

مرکزی حد تھیوریم کے بارے میں درج ذیل میں سے کون سا بیان درست ہے؟

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Answer: The CLT states that the sampling distribution of the sample mean x is approximately normal, for large sample sizes (n>30)

Explanation The Central Limit Theorem (CLT) states that , given certain conditions, the sampling distribution of the sample mean (x̄) will be approximately normal, even if the underlying population distribution is not normal. This is true for large sample sizes (typically n > 30).

25. Which of the following statements is true about the null hypothesis?

کالعدم مفروضہ کے بارے میں مندرجہ ذیل میں سے کون سا بیان درست ہے؟

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Answer: Any wrong decision related to the null hypothesis results in two types of errors

Explanation When testing a null hypothesis , there are two types of errors that can occur: Type I error (α-error) : Rejecting the null hypothesis when it is actually true (false positive). Type II error (β-error) : Failing to reject the null hypothesis when it is actually false (false negative).

26. To read between the lines means?

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Answer: To grasp the hidden meaning

Explanation Read between the lines is an English idiom for inferring a deeper or hidden meaning in a text or a statement, beyond what is explicitly stated.

27. The standard deviation of the binomial distribution is ____?

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Answer: √npq

Explanation The standard deviation of a binomial distribution is indeed √npq, where: n is the number of trials p is the probability of success q is the probability of failure (q = 1 - p) The formula for the standard deviation of a binomial distribution is: σ = √npq This represents the spread or dispersion of the distribution.

28. Which of the following is not a measure of dispersion?

مندرجہ ذیل میں سے کون سا پھیلاؤ کا پیمانہ نہیں ہے؟

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Answer: Second Quartile

Explanation The Second Quartile (Q2) is a measure of central tendency, also known as the median. It is the middle value of a dataset when it is sorted in order.

29. What is the advantage of using SPSS over calculating statistics by hand?

ہاتھ سے شماریات کا حساب لگانے پر ایس پی ایس ایس استعمال کرنے کا کیا فائدہ ہے؟

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Answer: All of these

Explanation Using SPSS (Statistical Package for the Social Sciences) or other statistical software offers several advantages over calculating statistics by hand: Reduces errors : SPSS minimizes the chance of making errors in calculations, as it performs computations accurately and efficiently. Time-saving : SPSS can process large datasets and perform complex analyses much faster than manual calculations. Recognized software : Many researchers and organizations use SPSS, making it a widely recognized and accepted software package in the field of statistics and research. Transferable skill : Knowing how to use SPSS equips you with a valuable and transferable skill, beneficial for future research, academic, or professional endeavors.

30. What is the probability that a randomly selected family from the 400 families owns the house if 300 of them own houses?

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Answer: 0.75

Explanation The probability that a randomly selected family from the 400 families owns the house, given that 300 of them own houses, is: 0.75 .

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