Applied Mathematics

Inferential Statistics

Easy

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 ?

cluster sampling

snowball sampling

voluntary response sampling

systematic sampling

✅ Correct Option: 4

When a starting point is randomly chosen and then every kth element is selected at fixed intervals, this is systematic sampling.

Here k = 10 with starting point 4 (selecting 4, 14, 24, ...) so this is systematic sampling.

2023: 15 June Shift 2

A simple random sample consists of four observations 7, 8, 10, 7. The point estimate of population standard deviation is :

2023: 11 Aug Shift 1

Which of the following is a statistic ?

2026: 29 May Shift 2

Consider the following hypothesis test:

$H_0: \mu \leq 35$

$H_a: \mu > 35$

A sample of 25 provided a sample mean of 34.65. The population standard deviation is 4. The value of the t-test statistic is

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

2023: 23 May Shift 3

A simple random sample consists of three observations 1, 3, 5. The point estimate of the population standard deviation is :

2023: 22 May Shift 3

Match List - I with List - II.

	List - I		List - II
(A)	Left tailed test	(I)	$H_0 : \mu = 50$
(B)	Two tailed test	(II)	$H_1 : \mu > 50$
(C)	Null hypothesis	(III)	$H_1 : \mu < 50$
(D)	Right tailed test	(IV)	$H_1 : \mu \neq 50$

Choose the correct answer from the options given below :

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 ?

Solution

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