Applied Mathematics

Inferential Statistics

Easy

applied

A simple random sample consists of five observations 2, 4, 7, 12, 15. The point estimate of the population mean is :

✅ Correct Option: 4

Point estimate of population mean is the sample mean.

$\bar{x}=\frac{2+4+7+12+15}{5}=\frac{40}{5}=8$ .

2026: 14 May Shift 2

Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	Simple random sampling	I.	to get a team of 7 students with AI knowledge, selecting one of the students who will bring 6 more students.
B.	Stratified sampling	II.	Asking colleagues to complete a survey for research work
C.	Convenience sampling	III.	Selection of 100 employees from a company with 500 employees keeping gender balance in mind
D.	Snowball sampling	IV.	Selection of 50 guests randomly from a party

Choose the correct answer from the options given below:

2026: 29 May Shift 2

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	The measurable characteristic of a population is called	I. Statistic
B.	The measurable characteristic of a sample is called	II. Confidence level
C.	The percentage of all possible samples that can be expected to include the true population parameter is called	III. Confidence interval
D.	A range that could be expected to contain the population parameter of interest is	IV. Parameter

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2026: 14 May Shift 2

In a hypothesis test, the probability of making the wrong decision when the null hypothesis is true is called

2023: 7 June Shift 1

Out of 1000 employees, 100 have to be selected for a survey . After being arranged in the alphabetical order each one is assigned a number from 1 to 1000. A number 4 is selected and then every 10th person is selected (i.e 4 , 14, 24 ... ) . Which form of sampling is this an example of ?

2026: 21 May Shift 2

Match the LIST-I with LIST-II

LIST-I (Term)		LIST-II (Definition)
A. Confidence level		I. In a confidence interval, the range of values, above and below the sample statistic.
B. Margin of error		II. It is the probability of making Type-I error, when null hypothesis is true as an equality.
C. Level of significance		III. It involves the use of sample data to calculate a single value of an unknown population parameter.
D. Point estimation		IV. It describes the uncertainty of a sampling method.

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2022: 25 May Shift 1

From a population having a mean of 20 and standard deviation 2, a random sample of size 64 is taken and its mean is found to be 19.5. The test statistic to test that the sample is taken from the population is

A simple random sample consists of five observations 2, 4, 7, 12, 15. The point estimate of the population mean is :

Solution

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