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Elementary Statistics Test 3

by: Morgan Walker

Elementary Statistics Test 3 Stat 2013

Marketplace > Oklahoma State University > Statistics > Stat 2013 > Elementary Statistics Test 3
Morgan Walker
OK State
GPA 3.2

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About this Document

These notes cover the topics in test three over chapters 7-9
Elementary Statistics
Robert Adam Molnar
Study Guide
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This 2 page Study Guide was uploaded by Morgan Walker on Thursday April 14, 2016. The Study Guide belongs to Stat 2013 at Oklahoma State University taught by Robert Adam Molnar in Winter 2016. Since its upload, it has received 90 views. For similar materials see Elementary Statistics in Statistics at Oklahoma State University.


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Date Created: 04/14/16
Chapter 7 Point estimate- specific numeric value interval estimate- range of numeric values Properties of estimators: Unbiased- good random sample Consistent- n is greater than 30 relatively efficient- normally distributed Confidence interval- interval that is likely to contain the population parameter Confidence interval basic formula: (Sample Value) ± Critical Value * Margin of Error Confidence level 1 –  Credible values- values that are inside the parameter (ex. -1.65 to 1.65 CV is 1.00) Non-credible values- values outside the parameter greatly (ex. -1.65 to 1.65 NCV is -2.56) Critical Value: Z/2 t/2 Properties of student’s t distribution- Degrees of Freedom is the n-1, substitute sigma for s Binomial conditions- 5 successes and 5 failures, use proportion formula with Z and p̂ (1-p̂) Chapter 8 Statistical hypothesis- a conjecture or claim about a population Null hypothesis H -0the current belief alternative/research hypothesis H - 1 change or shift in the belief One-tailed- alternative is either greater than or less than null two-tailed alternative hypotheses- the alternative is not equal to the null (both greater and less than) Level of significance- probability of type one rejection errors 5 steps in hypothesis testing 1. State hypothesis 2. Determine the correct test 3. Compute test value 4. Make decision to reject or not reject 5. Summarize results Rejection region- outside the CI non-rejection region- inside the CI Standard error- standard deviation/ √n Test value basic formula: (Observed value – Null value) / Standard Error Statistically significant, and its difference from practical meaning- the rejected result Type I [false rejection]- rejecting the hypothesis when it is actually true Type II [false non-rejection] errors- supporting the hypothesis when it is actually false Statistical power [probability of correctly rejecting null given alternative is true]- 1-β p-value- probability of getting a sample statistic or a more extreme sample statistic in the direction of the alternative hypothesis when the null is true when less than a reject, when more than a accept Chapter 9 Independent samples- knowing information about one sample has no effect on the other Matched pairs- when observations can be placed in pairs based on the known characteristics Interventions- starting score is measured, time lapses and then the end score is measured Conditions for proportion intervals and tests: fixed number of trials, only 2 outcomes, trials independent, (assumed) same probability; at least 5 occurrences and 5 non-occurrences Conditions for mean intervals and tests: good random sample, n is greater than 30 or normally distributed and two samples must be independent


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