an introduction to hypothesis testing: the paired t-test · north south university school of life...

North South UniversitySchool of Life Sciences

An Introduction to Hypothesis Testing: The Paired t-Test

Obaidur Rahman, PhD.NSU

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PART- I

An Introduction to Hypothesis Testing: The Paired t-Test

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SECTION A

The Paired t-Test; the Confidence Interval Component

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SECTION B

The Paired t-Test; the Hypothesis Testing Component

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SECTION C

The Paired t-Test; Two More Examples

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SECTION C

The Paired t-Test; More examples

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Hypothesis Testing Steps

1. Data2. Assumptions3. Hypotheses

4. Test statistic5. Distribution of test statistic6. Decision rule

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Significance Level

Types of Errors

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HYPOTHESIS TESTING: A SINGLE POPULATION MEAN

Example 1: Researchers are interested in the mean age of a certain population. Let us say that they are asking the following question: Can we conclude that the mean age of this population is different from 30 years?

1. Data: The data available to the researchers are the ages of a simple random sample of

10 individuals drawn from the population of interest. From this sample a mean of 27 has been computed.

2. Assumptions: It is assumed that the sample comes from a population whose ages are approximately normally distributed. Let us also assume that the population has a known variance of σ2 = 20

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One-Sided Hypothesis Tests

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Sampling from a Normally Distributed Population: Population Variance Unknown

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Sampling from a Population That Is Not Normally Distributed

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HW: Exercise: 7.2.1-7.2.19

Page no. 234-237

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PAIRED COMPARISONS

HW: 7.4.1 to 7.4.5 (pg. 255-257)

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HW: EX7.4.1-7.4.5

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