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# 12 Study Guide for STAT 250 at PSU

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This 3 page Study Guide was uploaded by an elite notetaker on Friday February 6, 2015. The Study Guide belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 76 views.

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Date Created: 02/06/15

Stat 2503 October 9 2003 Study Guide for the second Midterm Midterm will be on Monday November 24 It will cover all the materials we covered from Capters 913 and Chapter 15 You should carefully read the sections that we have covered in the textbook and also go over the lecture notes Structure 1 About 20 Multiple Choice Items similar to ones on the quizzes 2 Several written problems not Multiple Choice with a few parts in each Partial credit will be given for the work that is shown As a general recommendation Material to review Review the quizzes 3 4 and Sand practice quizzes 3 and 4 Review homeworks 4 the problems from Ch 9 5 and 6 Review Presentations 712 and Activities 69 Other Study Suggestions Know how to read the Minitab Output fot Cl and Hypothesis testing problems Chisquare test as well Below are a few general guidelines They are NOT 100 comprehensive Chapter 9 9194 Know what a sampling distribution is that every statistic has a sampling distribution Know that the sampling distribution of a mean or a proportion is approximately normal under certain conditions 1 Be able to describe the sampling distribution for a sample proportion 2 Be able to describe the sampling distribution for a sample mean 3 Know the conditions necessary for the normal assumption to be valid for both sample means and sample proportions 5 Must be able to use appropriate symbols phat Xbar u p s and o 6 Be able to determine the probability of a sample proportion or mean being larger or smaller than some number Chapter 10 1 Be able to calculate a sample proportion 2 Be able to calculate a conservative margin of error 3 Be able to calculate the standard error and margin of error for 1 proportion parts of the confidence interval 4 Be able to calculate a confidence interval for 1 proportion 5 Understand the interpretation of a confidence interval 6 Know the conditions for which a confidence interval constructed using the normal approximation is valid 7 Know the effect of sample size population size and confidence level on the width of a confidence interval Stat 2503 October 9 2003 Chapter 11 1 Know how to write null and alternative hypothesis tests for 1 proportion 2 Be able to identify alternative hypothesis as 1sided or 2sided 3 Know the conditions necessary for a hypothesis test of1 proportion to be valid using the zstatistic 4 Be able to calculate a zstatistic AND a pvalue for 1 and 2 sided alternative hypotheses Be able to draw an illustration of a pvalue under the normal curve 5 Understand how to interpret a pvalue and what the decision rule for rejecting the null hypothesis is 6 Know how to write an appropriate conclusion based on the pvalue 7 Know the difference between Type 1 and Type 2 errors Be able to identify them 8 Understand the role of sample size in statistical significance 115 Be able to distinguish practical from statistical significance Chapter 12 1 You need to know how to compute the confidence interval for 5 different situations we learned 1 1Proportion z test 21 Mean t test 3Difference between 2Means two sample ttest 4Difference between 2Proportions two sample ztest 5Difference between Paired Means paired ttest For more details you can go back in the notes of Chapter 10 2 Know how to interpret the CI in each case Chapter 131131131 1 You have learned 5 different test and you should be able to know when and how to use the test 11Proportion z test 21Mean t test 3Difference between 2Means two sample ttest 4Difference between 2Proportions two sample ztest 5Difference between Paired Means paired ttest For more details you can go back in the notes of Chapter 11 2 Know how to write the null hypothesis and alternative hypothesis Keep in mind that the alternative is always the same as the research question 3 Know how to compute the test statistics and find the pvalue for each for of the alternative hypothesis less than greater than ortwo sided For a proportions one or two we have a z test so we look up the normal table table A1 to find the pvalue For means onepaired two means we have ttests so we need to use the t table table A3 to find the pvalue 4 Know how to conclude the test You will have two different situations either the pvalue is less than alpha usually alpha 005 significant or greater than alpha nonsignificant If the test is significant then you reject the null and accept the alternative lfthe test is not significant then you do not reject the null Stat 2503 October 9 2003 Chapter 15 151152 1 When do we need to use a ChiSquare test 2 Know the relationship between ChiSquared and 2 proportions which one makes sense in different cases 3 Be able to compute an expected count if I give you a twoway table 4 Be able to interpret row percents 5 Know how the ChiSquare statistic is calculated 6 Write null and alternative hypotheses for a ChiSquare test 7 Be able to write a conclusion about a ChiSquare test based on MINITAB output 8 Calculate the degrees of freedom for a ChiSquare test Formulas that are going to be provided Z 12 Z Obs Exp 5 where Expected 2 Row total gtlt Column total and df Fume1 all EXP Total sample Slze n nAD BC2 Special case for 2X2 talbes 2 RlRZCICZ Inference Parameter Statistic Standard Error Multiplier TestStatistic A x One Mean 7 34 t t 0 or t7 70 s u oru d 7 or 7 mile d x r in in den1 Kr Difference of t 7 7 0 two means i if S12 322 dfmin n 1 t M 2 sample t H 1 2 1 1 312 32 n21 m m A A pipe A 1 2 One proportion P p w 2 POU Po n Difference of A A A A A 7 A A A two proportionlt p1p2 11 7 zz MM 2 Z A p pf A I M quot1 m P1 PJr pa p nlnz I ll n2

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