# STAT 241 Exam 2 Study Guide

STAT 241 Exam 2 Study Guide

Time : 60 minutes

Maximum of 30 multiple choice and TRUE/FALSE questions

No access to Excel. Bring any calculator, one sheet of notes, and copy of PAGE 2 of formula sheet in D2L.

Unit 4

• Recognize if the given random variable is discrete or continuous

• Properties of a discrete probability distribution

• Find any probability from a given discrete probability distribution table (exactly equal to, less than, more than a number)

• Find the mean or expected value of a discrete probability distribution using calculator

• Know the properties of the mean or expected value of a discrete probability distribution

• Recognize if the given variable has a binomial or Poisson distribution

• Properties of binomial distribution

• Shapes of binomial distribution for different values of p

• How to find the mean of new Poisson distribution based on given Poisson distribution

• Properties of the continuous probability distribution, normal distribution, and the standard normal distribution

• Recognize the shaded area of a normal distribution for the probability from a normal distribution

• Find the area of normal distribution using empirical rule

Unit 5

• Recognize the type of sampling method (simple random, systematic, stratified, cluster, or convenience) used in a given description

• Properties of probability distribution of sample mean

Effect of sample size on shape, mean and spread of the distribution

Name and mean of the distribution when sample is selected from a population

• Central limit theorem

• Select the graph that represent probability distribution of sample mean based on given graph of population distribution

• The best point estimates for the population mean and population proportion

• The difference between point estimate and confidence interval

• Why the confidence interval is better than point estimate

• Meaning of confidence level

• Effect of sample size and confidence level on width of confidence interval

• Preferred width of confidence interval and confidence level

• Required assumptions when constructing confidence intervals for mean and proportion

• Guess the correct confidence interval without computing it

• Compute sample proportion when numerical summaries from sample are given

• If confidence interval is given, how to compute point estimate and/or margin of error

• Interpret confidence interval appropriately

• Decide if a statement is correct based on a given confidence interval

Unit 6

• Recognize the correct statement for null (H0) and alternative (H1) hypotheses based on given information

• Decide if the test is one-tail or two-tail based on given hypotheses

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