Chapter 6
Sampling Distributions
True/False
1. If we have a sample size of 100 and the estimate of the population proportion is .10, we can estimate the sampling distribution of [pic]with a normal distribution.
Answer: True Difficulty: Easy
2. A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of [pic] is a normal distribution, when the estimate of the population proportion is .995.
Answer: False Difficulty: Medium
3. The sampling distribution of [pic] must be a normal distribution with a mean 0 and standard deviation 1.
Answer: False Difficulty: Medium (REF)
4. For any sampled population, the population of all sample means is approximately normally distributed.
Answer: False Difficulty: Medium
5. The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.
Answer: True Difficulty: Easy
6. A sample statistic is an unbiased point estimate of a population parameter if the mean of the populations of all possible values of the sample statistic equals the population parameter.
Answer: True Difficulty: Medium
7. A minimum variance, unbiased point estimate has a variance that is as small or smaller than the variances of any other unbiased point estimate.
Answer: True Difficulty: Medium
8. We can randomly select a sample from an infinite population of potential process measurements by sampling the process at different and equally spaced time points.
Answer: True Difficulty: Medium (REF)
9. The reason sample variance has a divisor of n-1 rather than n is that it makes the variance an unbiased estimate of the population variance.
Answer: True Difficulty: Hard
10. The standard deviation of all possible sample proportions increases as the sample size increases.
Answer: False Difficulty: Medium (REF)
11. The central limit theorem states that as sample size increases, the...