Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

In reference to the Inferential Statistics, which of the following is NOT correct?

Options:

A statistical hypothesis is a statement about the population parameter which may be true or false.

The standard deviation of the sampling distribution of a statistics is known as its standard error.

If sufficiently large random samples with replacement are drawn from a population, then the sampling distribution of the sample means approaches a binomial distribution.

In a statistical hypothesis testing, a Type-l error is made when null hypothesis is rejected when it is true.

Correct Answer:

If sufficiently large random samples with replacement are drawn from a population, then the sampling distribution of the sample means approaches a binomial distribution.

Explanation:

The correct answer is Option (3) → If sufficiently large random samples with replacement are drawn from a population, then the sampling distribution of the sample means approaches a binomial distribution.

The statement that is NOT correct is:

"If sufficiently large random samples with replacement are drawn from a population, then the sampling distribution of the sample means approaches a binomial distribution."

Correct concept: The sampling distribution of the sample mean approaches a normal distribution (Central Limit Theorem), not a binomial distribution.