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Sampling Distributions MCQs for Competitive Exams

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Sampling Distributions MCQs for Competitive Exams

Practice with answers, explanations, and exam-focused revision notes.

24 MCQs Page 1

Topic Notes: Sampling Distributions

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Sampling Distributions MCQs in Statistics are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

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1
If μ represents the population parameter and x̅ represents the unbiased sample estimate, how is the sampling error defined?
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2
Which term refers to the standard deviation of a sampling distribution of a statistic?
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3
What is the standard deviation of a sampling distribution commonly referred to as?
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4
Regardless of the distribution of the sample or the population, what must the mean of the sampling distribution of the sample mean equal?
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5
What is the formal definition for the probability distribution of a sample statistic?
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6
What is the formula for the standard deviation (standard error) of a sample proportion in a sampling distribution?
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7
Calculate the standard deviation of the sample proportion given a population proportion p = 0.70 and a sample size n = 28.
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8
Given a population 1 with standard deviation 3 and sample size 8, and a population 2 with standard deviation 5 and sample size 7, what is the standard deviation of the sampling distribution of the difference between means?
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9
Given a population proportion p = 0.65, a population size N = 25000, and a sample size n = 50, what is the standard deviation (standard error) of the sample proportion?
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10
If the population proportion is 10.5, what is the expected mean of the sampling distribution of the proportion?
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