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Session__8

# Session__8 - Histogram for Quiz 1 Scores Histogram for Exam...

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Histogram for Quiz 1 Scores

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Histogram for Exam Scores
HYPOTHESIS TESTING: ONE SAMPLE Z AND T TESTS

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There are several types of hypotheses that we might test (see page 257): 1. A statement about a single parameter H : μ = 0 The population mean is 0.
The Steps of Hypothesis Testing

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Examples of types of tests:
7 Hypothesis set-ups for testing a mean

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If the sample size is small and σ is not known, then the t-statistic is used instead of Z. How do I know what test to use? Use Z-statistic if: Use t-statistic if: If the population standard deviation (σ29 is known or the sample is more than 30. If the population standard deviation ( σ29 is unknown and the sample is less than 30.
Comparison of Z-statistic and t-statistic formulas Z-statistic T-statistic Use the t-statistic for testing a sample mean against a population mean if σ is unknown and n<30.

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T-distribution is the same as normal distribution when sample size is infinite
Pair-and-Share Practice In a single-sample t-test, what are the respective critical values for: A. α =.05, n=10, two-tailed test B. α =.01, n=31, one-tailed test C. α =.05, n=40, one-tailed test D. α =.01, n=107, two-tailed test 2.262 2.457 1.684 2.617

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Two-Tailed Student T Test Example Is the average writing test score 368 on a specific test? A random sample of 25 students’ scores showed f8e5 X bar= 372.5 . The company has specified s to be 15 .
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