Using the Central Limit Theorem · Exercise 34
A large population has skewed data with a mean of 70 and a standard deviation of 6. Samples of size 100 are taken, and the distribution of the means of these samples is analyzed.
(a) Will the distribution of the means be closer to a normal distribution than the distribution of the population?
(b) Will the mean of the means of the samples remain close to 70?
(c) Will the distribution of the means have a smaller standard deviation?
(d) What is that standard deviation?
OpenStax, Introductory Business Statistics 2e · §7.2 Using the Central Limit Theorem · Exercise 34
No hints for this one.
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