Statistics & Applications

Inferential

Easy

applied

Which one of the following statement is not correct?

Sample is a collection of some elements of population having same characteristic.

The measurable characteristic of sample is called statistic.

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

The sample makes inference about the population.

✅ Correct Option: 3

Option 1: "Sample is a collection of some elements of population having same characteristic."

Population refers to the entire group being studied. A sample is a smaller group selected from the population. The sample shares the same characteristics being studied as the population.

This statement is correct.

Option 2: "The measurable characteristic of sample is called statistic."

A measurable characteristic calculated from sample data is called a statistic. Examples include sample mean, sample median, or sample percentage.

This statement is correct.

Option 3: "A survey done using a sample of the population has no margin of error."

Every sample-based survey has a margin of error because:

The sample represents only a portion of the population, not the entire population. Different samples will produce slightly different results due to random variation. There is always uncertainty when using a sample to estimate population characteristics.

Only a census (measuring the entire population) has no margin of error.

This statement is incorrect.

Option 4: "The sample makes inference about the population."

Inference refers to making conclusions about a population based on sample data. The sample is studied to draw conclusions about the entire population.

This statement is correct.

Option 3 is the incorrect statement because sample surveys always have a margin of error.

2025: 13 May Shift 1

A measurable characteristic of a population is called _____.

2026: 22 May Shift 1

In a confidence interval, the range of values above and below the sample statistic is called :

2026: 12 May Shift 2

If the sample size ( $n$ ) is 32 in testing of hypothesis by t-test, then the degree of freedom ( $\gamma$ ) is equal to :

2025: 22 May Shift 1

Consider the following hypothesis test:

$H_0: \mu \leq 16$

$H_a: \mu > 16$

A sample of 25 provided a sample mean $\bar{x} = 17$ and a sample standard deviation $s = 3.5$ , then the value of the test statistic in $t$ -test is:

2025: 26 May Shift 2

Consider the following test:

H₀: μ ≤ 12

H₁: μ > 12

A sample of 36 provided a sample mean $\bar{x} = 16$ and a sample standard deviation S=4.2. Then the value of the t- test statistic 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:

Which one of the following statement is not correct?

Solution

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