5. Probability Distributions
Sampling Distributions — Quiz
Test your understanding of sampling distributions with 5 practice questions.
Practice Questions
Question 1
Which of the following describes a sampling distribution of a sample statistic?
Question 2
If a population has a mean of $120$ and a standard deviation of $15$, what is the standard error of the mean ($\sigma_{\bar{x}}$) for samples of size $n = 36$?
Question 3
The Central Limit Theorem (CLT) is most useful when the population distribution is:
Question 4
A quality control manager wants to estimate the average weight of bags of chips produced by a machine. The machine is known to produce bags with a standard deviation of $5$ grams. If the manager takes a random sample of $100$ bags, what is the probability that the sample mean weight will be within $1$ gram of the true population mean?
Question 5
Which of the following statements about the spread of the sampling distribution of the sample mean is true?