Applied Mathematics

Inferential Statistics

Medium

applied

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

$\sqrt{\frac{3}{2}}$

$\sqrt{3}$

2.5

$\sqrt{2}$

✅ Correct Option: 4

Mean $= 32/4 = 8$ .

Deviations squared: $1+0+4+1 = 6$ .

Sample variance (using $n-1$ ) $= 6/3 = 2$ .

Standard deviation $= \sqrt{2}$ .

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

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 :

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

Choose the correct answer from the options given below:

2023: 22 May Shift 3

A simple random sample consists of five observations 2, 4, 7, 12, 15. The point estimate of the population mean 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: 11 Aug Shift 1

A Simple random sample consists of four observation 1, 3, 5, 7. The point estimate of population standard deviation is

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

Solution

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