# 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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