Applied Mathematics

Inferential Statistics

Medium

applied

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.

Choose the correct answer from the options given below:

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.

A-IV, B-II, C-I, D-III

A-IV, B-I, C-II, D-III

A-IV, B-II, C-III, D-I

A-IV, B-III, C-II, D-I

✅ Correct Option: 2

Confidence level expresses how much uncertainty attaches to the sampling method (IV).

Margin of error is the spread taken above and below the sample statistic (I).

Level of significance is the chance of rejecting a true null hypothesis (II).

Point estimation produces a single value for a parameter (III).

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

Which of the following is false about the central limit theorem

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

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 :

2026: 29 May Shift 2

A simple random sample consists of five observations: 2, 4, 6, 7,11, then which of the following are true ?

A. Sample mean = 7.5

B. Sample mean = 6

C. Sample standard deviation = $\sqrt{11}$

D. Sample standard deviation = $\sqrt{11.5}$

Choose the correct answer from the options given below:

2023: 30 May Shift 3

Consider the following hypothesis test :

$\mu_o : \mu \leq 26$

$\mu_a : \mu > 26$

A sample of 36 is provided with a sample mean of 25.75. The population standard deviation is 3. The value of the test statistic is :

Solution

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