Author Question: If a population is uniformly distributed with a mean of 2 and a standard deviation of 0.50, what ... (Read 78 times)

jho37 · **on:** Jun 24, 2018

If a population is uniformly distributed with a mean of 2 and a standard deviation of 0.50, what are the mean and standard deviation for the sampling distribution when many samples of size n = 16 are randomly selected?

a.

,

b.Since the population is uniformly and not normally distributed, the sampling distribution cannot be determined.
c.

,

d.

,

Question 2

Which of the following is the definition of the Central Limit Theorem?

a.If the sampled population has a normal distribution, then the sampling distribution of

will also be normal for samples of all sizes.
b.The sampling distribution of sample means more closely resembles the normal distribution as the sample size decreases.
c.The sampling distribution of sample means more closely resembles the normal distribution as the sample size increases.
d.If all possible random samples, each of size n, are taken from any population with mean

and standard deviation

, the sampling distribution of sample means will have a mean

equal to

and a standard deviation equal to

.