Which of the following statements about the sampling distribution of the sample means is incorrect?

a. The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large (n ≥ 30)

b. The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means.

c. The mean of the sampling distribution of the sample mean is equal to µ.

d. All of the above statements are correct of sampling distributions

Question

Mathematics

Ronan Prince

23 October, 09:38

Which of the following statements about the sampling distribution of the sample means is incorrect?

a. The sampling distribution of the sample mean is approximately normal whenever the sample size is sufficiently large (n ≥ 30)

b. The sampling distribution of the sample mean is generated by repeatedly taking samples of size n and computing the sample means.

c. The mean of the sampling distribution of the sample mean is equal to µ.

d. All of the above statements are correct of sampling distributions

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Answers (1)

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Gwendolyn · Answer 1

Option d. All of the above statements are correct of sampling distributions

Step-by-step explanation:

Option (a) is correct as the sample size (say n ≥ 30) is increases then our distribution tends to normal.

Option (b) is also correct as it is a good explanation of the sampling distribution of sample mean.

Option (c) is also a correct option because the mean of all possible samples of the sampling distribution is equal to population mean (μ).

Thus, All the above statements are correct.