4) Given an infinite population with a mean of 40 and a standard deviation of 15

Question

4) Given an infinite population with a mean of 40 and a standard deviation of 15, a sample of size 100 is taken from it. The standard error of the sampling distribution of the sample mean is:

Select one:

a. 15

b. 0.15

c. 1.5

d. None of these choices

5) If a random sample of size n is drawn from a normal population, then the sampling distribution of the sample mean will be: Select one:

a. Normal for all values of n

b. Normal only for n > 30

c. Approximately normal for all values of n

d. Approximately normal for all values of n > 30

6) For a random sample of size 50 drawn from a population, what theorem or rule is used to determine the type of distribution for the sampling distribution of the sample mean? Select one:

a. Central Limit Theorem

b. Chebyshev's theorem

c. Empirical Rule

d. None of the above

Explanation / Answer

4) standard error = standard deviation / sqrt(n) = 15 / sqrt(100) = 1.5

Option-C) 1.5

5) Option-D) Approximately normal for all values of n > 30

6) Option-A) Central Limit Theorem

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