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There are two statistical tests for mean: 1) z test – Used for large samples (n ≥ 30) 1) t test – Used for small samples (n < 30)
Test Value = (Observed Value) – (Expected Value) Standard Error * The observed value is the statistic that is computed from the sample data. ** The expected value is the “hypothesized value.”
t.v.= ( X – µ ) X = ( σ / √n ) Sample mean µ =Hypothesized Value σ =Standard Deviation n =Sample Size
1)State the null and alternative hypotheses 2)Find the critical value(s) 3)Compute the test value 4)Make the decision to either “reject the null” or “not reject the null”
The t Test for Two Independent Samples
(Hypothesis test for small sample sizes)
Introduction to Hypothesis Testing
Slide 8- 1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Active Learning Lecture Slides For use with Classroom Response Systems.
Advanced Higher Geography
How Big Should Sample Size be? Example We have data y=(y 1,…,y N ), where y~N(μ,σ 2 ) We want to test H 0 : μ=θ vs H 1 : μ θ –Chosen significance level=α=0.01.
HYPOTHESIS TESTING. Purpose The purpose of hypothesis testing is to help the researcher or administrator in reaching a decision concerning a population.
Sample size and statistical power ดร. อรพิน กฤษณเกรียงไกร ดร. อรพิน กฤษณเกรียงไกรคณะสาธารณสุขศาสตร์มหาวิทยาลัยนเรศวร.
Chapter 9 Introduction to the t-statistic
Presentation on Data Analysis
8.2 cont. p-Value Method.
Using t-tests Basic introduction and 1-sample t-tests Statistics for the Social Sciences Psychology 340 Spring 2010.
Our goal is to assess the evidence provided by the data in favor of some claim about the population. Section 6.2Tests of Significance.
Topics Today: Case I: t-test single mean: Does a particular sample belong to a hypothesized population? Thursday: Case II: t-test independent means: Are.
Stat381 Cheat sheet: Confidence Intervals
THE z - TEST n Purpose: Compare a sample mean to a hypothesized population mean n Design: Any design where a sample mean is found.
Chapter 9 Hypothesis Testing Testing Hypothesis about µ, when the s.t of population is known.
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
Stat Day 16 Observations (Topic 16 and Topic 14)
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