Statistics Chapter 7: Sampling distributions

Question 1

population distribution

Answer 1

• distribution from which we take the sample
• usually unknown
• does not vary
• making predictions about it

Question 2

sample/data distribution

Answer 2

• distribution of the sample data
• described by sample statistics, sample proportion
• larger the sample size n, more closely it resembles population distribution

Question 3

sampling distribution

Answer 3

• distribution of sample statistic (sample proportion or sample mean)
• provides probabilities for all the possible values of a statistic

Question 4

mean and standard deviation of sample distribution of sample mean

Answer 4

mean=population mean

standard deviation=sigma/sqrt n (with larger samples, the sample mean tends to fall closer to the population mean)

Question 5

central limit theorem

Answer 5

as the sample size n increases, the sampling distribution of the sample mean approaches approximately normal distribution

Question 6

mean and standard deviation of a sampling distribution of a proportion

Answer 6

mean=p

standard deviation=sqrt p(1-p)/n