The standard deviation of all possible sample proportions

Question

1. The standard deviation of all possible sample proportions increases as the sample size increases.

• True
• False

2. For non-normal populations, as the sample size (n) _________, the distribution of sample means approaches a/an __________ distribution.

• decreases, uniform
• increases, normal
• decreases, normal
• increases, uniform
• increases, exponential

3. The central limit theorem states that as sample size increases, the population distribution more closely approximates a normal distribution.

• True
• False

4. If the sampled population has mean 48 and standard deviation 16, then the mean and the standard deviation for the sampling distribution of for n = 16 are

• 4 and 1.
• 12 and 4.
• 48 and 4.
• 48 and 1.
• 48 and 16.