Exam 8: Sampling Distributions

The quantity is called the finite population multiplier.

For any sampled population, the population of all sample means is approximately normally distributed.

The Central Limit Theorem states that as sample size increases, the population distribution more closely approximates a normal distribution.

Find P( < 25) if μ = 16 and = 4.

Find P(395.4 < < 404.6), if the population mean = 400, σ = 20, and n = 100.

According to a hospital administrator, historical records over the past 10 years have shown that 20 percent of the major surgery patients are dissatisfied with after-surgery care in the hospital. A scientific poll based on 400 hospital patients was conducted. What is the probability that at least 70 patients will not be satisfied with the after-surgery care?

Consider a sampling distribution formed based on n = 3. The standard deviation of the population of all sample means is ________ less than the standard deviation of the population of individual measurements σ.

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

The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

According to the Central Limit Theorem, if a sample size is at least ________, then for most sampled populations, we can conclude that the sample means are approximately normal.

As the sample size ________, the standard deviation of the population of all sample proportions increases.