Applied Mathematics

Inferential Statistics

Easy

Which of the following is a statistic ?

selecting 10 employees from an organization with 100 employees

Selected 10 students from my class and finding their mean height to represent average class height

Finding mean income of all families in a city

Finding median income of all families in the city

✅ Correct Option: 2

A statistic is a numerical value computed from a sample. Selecting 10 students from a class and using their mean height to represent average class height is a classic case of computing a statistic from sample data.

2023: 15 June Shift 2

Which of the following statements are true ?

(A) Central limit theorem states that the sampling distribution of the mean $(\bar{x})$ approaches a normal distribution as the sample size increases.

(B) As per Central Limit Theorem, when the sample size increases, the mean $(\bar{x})$ for the data becomes closer to the mean of overall population.

Choose the correct answer from the options given below :

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 ?

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

2022: 25 May Shift 1

Match List I with List II

LIST I	LIST II
A. A special characteristic of a population is known as a:	I. statistic
B. A special characteristic of a sample is known as a:	II. Confidence interval
C. The uncertainty of a sampling process is expressed by:	III. Estimation
D. The process by which one makes the inferences about a population based on the information obtained from a sample is known as:	IV. Parameter

Choose the correct answer from the options given below:

2023: 7 June Shift 1

Which of the following is false about the central limit theorem

2023: 23 May Shift 3

The following data is available for two independent sample:

	SAMPLE-1	SAMPLE-2
sample size	8	10
sample mean	191	199
sample standard deviation	10	12

Then the value of t-statistic is :

Which of the following is a statistic ?

Solution

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