Statistics & Applications

Inferential

Easy

applied

Which of the following statements are correct?

(A) A sample size of 30 or more is considered to be sufficient to hold the central limit theorem.

(B) A survey done using a sample of the population has no margin of error.

(C) The measurable characteristic of a population is called parameter.

(D) The sample makes an inference about the population.

Choose the correct answer from the options given below:

(A), (B) and (D) only

(B), (C) and (D) only

(A), (C) and (D) only

(B) and (D) only

✅ Correct Option: 3

(A) $n \geq 30$ is the usual rule of thumb for the central limit theorem: true.

(D) inference about the population is drawn from the sample: true.

(B) is false; every sample survey carries a margin of error.

2026: 19 May Shift 1

If X is normally distributed with mean 30 and standard deviation 5, the value of $P(26 \le X \le 34)$ is: (Where $P(0 \le Z \le 0.8) = 0.2881$ )

2025: 16 May Shift 1

The point estimate of the population standard deviation for the random sample 5, 8, 10, 7, 10, 14 is:

2026: 30 May Shift 1

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. The percentage of all possible samples that can be expected to include the true population parameter	I. Standard error
B. The statistical measures computed from the sample observations alone	II. Null hypothesis
C. Assumtion made about a population parameter	III. Statistic
D. Standard deviation of the sampling distribution of a statistic	IV. Confidence level

Choose the correct answer from the options given below:

2025: 13 May Shift 1

A measurable characteristic of a population is called _____.

2025: 22 May Shift 1

If n is the sample size of the population, then degree of freedom in t-distribution is

2025: 30 May Shift 2

If a 99% confidence interval states that the population mean is greater than 100 and less than 400. Then the sample mean and margin of error respectively are:

Solution

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