The central limit theorem states that under certain circumstances the sampling d

Question

The central limit theorem states that under certain circumstances the sampling distriburtion of the mean will be normally distributed. Under which of the following circustances would it not be appropriate to consider the sampling distributon of the sample mean to be a normal distribution? Explain why.

a) When samples of size n = 50 are taken from a Poisson-distributed population with a mean equal to 2

b) When saples of size n = 15 are taken from a binomial distributed population with a mean equal to 6

c) When samples of size n = 35 are taken from a norally distributed population with a mean equal to 1

d) When samples of size n = 45 are taken from a binomial distributed population with mean equal to 9

e) When samples of size n = 12 are taken from a normally distributed population with mean equal to 5

Explanation / Answer

Ans : b) When saples of size n = 15 are taken from a binomial distributed population with a mean equal to 6.

(n should be greater than or equal to 30 or population should be Normal)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.