Applied Mathematics

Inferential Statistics

Easy

Which of the following is not a statistic ?

The mean marks of 100 student in a school of strength 2000

the median height of 100 students in a school of strength 2000

the mean salary of all workers of an organization

the mean salary of randomly selected half of all employees of an organization

✅ Correct Option: 3

A statistic is a numerical value computed from a SAMPLE; a parameter is computed from the entire POPULATION.

Options (1), (2), and (4) involve samples drawn from the population.

Option (3) involves all workers of the organization, which is the entire population, so it is a parameter, not 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

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 :

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

Given that the mean of the normal variate X is 10 and the standard deviation is 2, then what will be the z-score of the data point 16 ?

2023: 7 June Shift 1

Which of the following is false about the central limit theorem

2023: 22 May Shift 3

The assumption opposite of what is made in the null hypothesis is known as the _________ hypothesis.

Which of the following is not a statistic ?

Solution

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