Determine whether the statement is true or false. If it is false, rewrite it as

Question

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is false. A sampling distribution is normal only if n greaterthanorequalto 30. B. The statement is false. A sampling distribution is normal if either n greaterthanorequalto 30 or the population is normal. C. The statement is true. D. The statement is false. A sampling distribution is never normal.

Explanation / Answer

The Central Limit Theorem says that a sampling distribution (of the mean) will approach a normal distribution for

larger and larger sample size(n), regardless of the shape of the original distribution.

That is Sampling distribution is normal is only if n>=30.

option B in answer is correct.

Answer: B) The Statement is false. Sampling distribution is normal if either n>= 30 or the population is normal.

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