Hypothesis Tests with Means of Samples

Question 1

a distribution of statistics obtained by selecting all the possible samples of a specific size from a population

Answer 1

Sampling Distribution

Question 2

same as standard deviation of a distribution of means; also called Standard Error (SE)

Answer 2

Standard Error of the Mean (SEM)

Question 3

for any population with mean µ and standard deviation 𝜎, the distribution of sample means for sample size n will have a mean of µ and standard deviation of 𝜎/√𝑛 and will approach a normal distribution as n approaches infinity

Answer 3

Central Limit Theorem

Question 4

it states that the larger the sample size (n), the more probable it is that the sample mean will be close to the population mean

Answer 4

Law of Large Numbers

Question 5

hypothesis-testing procedure in which there is a single sample, and the population variance/SD is known.

Answer 5

Hypothesis-Testing with a Distribution of Means (z Test)

Question 6

the range of scores (that is, the scores between an upper and lower value) that is likely to include the true population mean;

Answer 6

Confidence Interval (CI)

Question 6

How to Figure Out Confidence
Limits

Answer 6

1. Figure the Standard Error
2. For the 95% confidence interval, figure the raw scores for 1.96 standard errors above and below the sample mean;

For the 99% confidence interval, figure the raw scores for 2.58 standard errors above and below the sample mean