Stat 411/511

# Quiz 1 Study Guide

Reading: Sleuth: 1.1, 1.2, 1.5, 2.1 & 2.2
Optionally: OpenIntro Chapter 4 & Section 5.3

You should be able to explain the meaning, or identify the correct explanation, of the following terms:

• parameter
• statistic
• estimate
• standard error of the mean
• p-value
• 95% confidence interval
• sampling distribution
• test statistic
• null distribution

Identify from a study description if population inference is justified.

State the three facts about the sampling distribution of the sample average.

Identify correct statements of facts about the sampling distribution of the sample average.

Given a population histogram, identify (from a set of options) the histogram which is most likely to be the sampling distribution of the sample average for a given sample size.

Given a population histogram, identify (from a set of options) the histogram which is most likely to be a histogram of a sample from the population for a given sample size.

State the assumptions required for the sampling distribution of the sample average to be exactly Normally distributed regardless of the sample size.

Construct a 95% confidence interval, based on the paired/one sample t-ratio, given sample statistics (sample average, sample standard deviation, sample size)

Construct a paired t-statistic given sample statistics (sample average, sample standard deviation, sample size) and a null hypothesis.

Given R output from a paired t-test:

• identify the sample size
• interpret the result of the test in context of the study
• interpret the point estimate and confidence interval in context of the study

Given a p-value, state the conclusion in terms of the null hypothesis

Given a confidence interval state the conclusion a test would reach about a specific hypothesis.

From a study description identify whether it is an example of the paired or two sample sampling model