DOC PREVIEW
VCU STAT 210 - Lecture34(2) (1)

This preview shows page 1-2-3-4-5-36-37-38-39-40-73-74-75-76-77 out of 77 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 77 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Slide 1Practice ProblemsAdditional Reading and ExamplesTest 6Slide 5Statistical InferenceGeneral Significance Testing ProcedureGeneral Significance Testing ProcedureGeneral Significance Testing ProcedureGeneral Significance Testing ProcedureGeneral Significance Testing ProcedureTests of SignificanceTests of SignificanceTests of Significance for m: s KnownTests of Significance for m: s KnownTest of Significance for m: s KnownTests of Significance for m: s KnownTests of Significance for m: s KnownSignificance Test for mSignificance Test for mSignificance Test for mSignificance Test for mTI-83-84 CalculatorExample 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 90/77Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 91/78Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Example 92/79Motivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating Example SolutionSlide 77STAT 210Lecture 34Tests of Significance for m: s KnownNovember 16, 2016Practice ProblemsSailboat: Pages 220 through 230Relevant problems: VIII.11 through VIII.17Recommended problems: VIII.12 and VIII.17Hummingbird: Pages 250 through 260Relevant problems: IX.11 through IX.17Recommended problems: IX.12 and IX.17Additional Reading and ExamplesSailboat: Read pages 213 – 218 Pay particular attention to pages 216 – 218Hummingbird: Read pages 243 – 248 Pay particular attention to pages 246 – 248Test 6Monday, November 21Questions for the first 10 minutes, then test – papers due promptly at the end of class!Covers Chapter 9 in Hummingbird (pages 219 – 260) or Chapter 8 in Sailboat (pages 189 – 230)Combination of multiple choice questions and written/short answer questions and problems.Formulas provided; Bring a calculator!Practice Tests and Formula Sheet on Blackboard.ClickerStatistical InferenceWe use statistics computed from data collected in a sample to make statements (inferences) about some parameter of a population.In this chapter we continue to make inferences about the population mean m. The last two lectures we have discussed confidence interval estimates of m. Today and next lecture we will discuss tests of significance for m.General Significance Testing Procedure1. State the null and alternative hypotheses, and the significance level a that is going to be used.H0: ???Ha: ???a = ???ClickerGeneral Significance Testing Procedure1. State the null and alternative hypotheses, and the significance level.2. Carry out the experiment, collect the data, verify the assumptions, and if appropriate compute the value of the test statistic.General Significance Testing Procedure1. State the null and alternative hypotheses, and the significance level.2. Carry out the experiment, collect the data, verify the assumptions, and if appropriate compute the value of the test statistic.3. Calculate the p-value (or rejection region).General Significance Testing Procedure1. State the null and alternative hypotheses, and state the significance level.2. Carry out the experiment, collect the data, verify the assumptions, and compute the value of the test statistic.3. Calculate the p-value.4. Make a decision on the significance of the test (reject or fail to reject H0).ClickerGeneral Significance Testing Procedure1. State the null and alternative hypotheses, and state the significance level.2. Carry out the experiment, collect the data, verify the assumptions, and compute the value of the test statistic.3. Calculate the p-value.4. Make a decision on the significance of the test (reject or fail to reject H0).5. Make a conclusion statement in the words of the original problem. This is the statistical inference.Tests of SignificanceToday we will discuss tests of significance for a population mean m when the population standard deviation s is known, and in the next lecture we will consider the situation in which the population standard deviation s is unknown (meaning we only know the sample standard deviation s).Tests of SignificanceAs was the case for confidence intervals, when the population standard deviation s is known, we will use the Z-distribution. When the population standard deviation s is unknown (meaning we only know the sample standard deviation s), we will use the t-distribution.In either case we must remember to check our assumptions!Tests of Significance for m: s KnownGoal:We hypothesize that the population mean equals some value m0, and state the alternative hypothesis that we wish to prove is true.H0: m = m0Ha: m > m0 or Ha: m < m0 or Ha: m = m0Tests of Significance for m: s KnownGoal:We hypothesize that the population mean equals some value m0, and state the alternative hypothesis that we wish to prove is true.H0: m = m0Ha: m > m0 or Ha: m < m0 or Ha: m = m0We collect data, calculate the test statistic, calculate the p-value, and make a decision and conclusion.Test of Significance for m: s KnownGoal:We hypothesize that the population mean equals some value m0, and state the alternative hypothesis that we wish to prove is true.H0: m = m0Ha: m > m0 or Ha: m < m0 or Ha: m = m0The point estimate of m is the sample mean X.Tests of Significance for m: s KnownAssumptions:1. Simple random sample2. The population is normal or the sample size is large enough for the Central Limit Theorem to apply.3. Population standard deviation s is known.Tests of Significance for m: s KnownThe sampling distribution of X is X ~ N(m, s/ n )Z-score transformation: Z = X - m s/ nand this statistic is a candidate for our test statistic.Significance Test for mThen a candidate for the test statistic isZ = X - m s/ nn is the sample size and X is the sample mean, both of which we determine from the sample.s is the population standard deviation, which we assume is known.Significance Test for mCandidate for Test StatisticZ = X - m s/ nThe problem is that the population mean m is unknown.Also, if we substitute the logical estimate for m, the


View Full Document

VCU STAT 210 - Lecture34(2) (1)

Documents in this Course
Lecture32

Lecture32

57 pages

Lecture31

Lecture31

84 pages

Lecture29

Lecture29

26 pages

Lecture28

Lecture28

63 pages

Lecture27

Lecture27

73 pages

Lecture26

Lecture26

78 pages

Lecture25

Lecture25

86 pages

Lecture24

Lecture24

54 pages

Lecture22

Lecture22

30 pages

Lecture21

Lecture21

76 pages

Lecture20

Lecture20

71 pages

Lecture19

Lecture19

78 pages

Lecture17

Lecture17

54 pages

Lecture16

Lecture16

59 pages

Lecture15

Lecture15

40 pages

Lecture14

Lecture14

80 pages

Lecture11

Lecture11

68 pages

Lecture10

Lecture10

46 pages

Lecture9

Lecture9

45 pages

Lecture7

Lecture7

67 pages

Lecture5

Lecture5

44 pages

Lecture3

Lecture3

32 pages

Lecture2

Lecture2

64 pages

Load more
Download Lecture34(2) (1)
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view Lecture34(2) (1) and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Lecture34(2) (1) 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?