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
.
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