Applied Mathematics

Inferential Statistics

Medium

applied

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

2.5

4.2

✅ Correct Option: 3

Sample mean $\bar{x} = (1 + 3 + 5)/3 = 3$ . Point estimate of variance: $s^2 = \sum(x_i - \bar{x})^2/(n-1) = (4 + 0 + 4)/2 = 4$ . So $s = 2$ .

2023: 15 June Shift 2

Match List - I with List - II.

List - I	List - II
(A) A special characteristic of a population is called	(I) Sample Size
(B) The number of statistical individuals in a sample is called	(II) Statistic
(C) A special characteristic of a sample is called	(III) Standard error
(D) The standard deviation of the sampling distribution of a statistic is known as its	(IV) Parameter

Choose the correct answer from the options given below :

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: 7 June Shift 1

T- test : A t- test is a test of difference for parameter data $t = \frac{\overline{x1} - \overline{x2}}{s\sqrt{\frac{1}{n1} + \frac{1}{n2}}}$

Then read the following statements and choose the correct statements

(A) the null hypothesis and the alternative hypothesis have the same viewpoint

(B) In t- test testing the significance of mean value is done, when sample size is small

(D) Testing is a process used by statisticians to accept or reject the hypothesis

(E) if the value of test statistics is greater than the table values, we do not reject the null hypothesis

Choose the correct answer from the options given below :

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

2026: 14 May Shift 2

Five students are selected at random from a school and their weights are found to be 50, 51, 53, 54 and 62. The point estimation of the population mean 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:

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

Solution

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