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PowerPoint presentations prepared by Lloyd Jaisingh, Morehead State University

Test hypotheses for one population mean using the Z statistic.Test hypotheses and construct confidence intervals about the difference in two population means using the Z statistic.Test hypotheses and construct confidence intervals about the difference in two related populations.. Learning Objectiv

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PowerPoint presentations prepared by Lloyd Jaisingh, Morehead State University

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    2. Test hypotheses for one population mean using the Z statistic. Test hypotheses and construct confidence intervals about the difference in two population means using the Z statistic. Test hypotheses and construct confidence intervals about the difference in two related populations. Learning Objectives

    3. A research hypothesis is a statement about what the researcher believes will be the outcome of an experiment or study. To prove a research hypothesis a statistical hypothesis is formulated and tested. Definition of Hypothesis

    4. A statistical hypothesis uses the following logic. It assumes that a condition holds (Null hypothesis, Ho) and attempts to use statistical procedures to show that the condition is supported by data as being more likely to be valid than not. If the null hypothesis is rejected, the alternate hypothesis (Ha) is accepted without testing. Definition of Statistical Hypothesis Testing

    5. The research hypothesis: Has the weight of our product changed? Statistical hypothesis to test: Example Statistical Hypothesis Testing (Two-tailed Tests)

    6. The research hypothesis: Are the groceries prices in department stores higher than in pharmacies? Statistical hypothesis to test: Example Statistical Hypothesis Testing (One-tailed Tests)

    7. Reject and Nonreject Regions

    8. Type 1 and Type 2 Errors

    9. Example: Determining the Reject and Nonreject Regions

    10. Exercise: Determining the Reject and Nonreject Regions

    11. Response: Determining the Reject and Nonreject Regions

    12. Example

    13. Response: Graph

    14. Exercise

    15. Exercise(One sided hypothesis)

    16. Two Populations: Inferences Up till now we considered cases in which one took a single sample and we use it to test a hypothesis. Often, one needs to compare two different samples. The hypothesis of interest are: Are the samples different? Is one sample less than or greater than the other?

    17. Two Populations: Inferences Experiment: Select two independent samples calculate the sample means for each of them. Use the differences between the sample means to test the hypothesis that both of the populations are different. The process is the same, however the equations for deriving z values is now different. We also need samples that exceed 30 items to benefit from the central limit theorem.

    18. Sampling Distribution of the Difference Between Two Sample Means

    19. Sampling Distribution of the Difference between Two Sample Means

    20. Z Formula for the Difference in Two Sample Means

    21. Hypothesis Testing for Differences Between Means: The Salary Example

    22. Hypothesis Testing for Differences Between Means: The Salary Example

    23. Hypothesis Testing for Differences Between Means: The Salary Example

    24. Exercise: Hypothesis Testing for Differences Between Means (Two sided)

    25. Exercise: Hypothesis Testing for Differences Between Means (One sided)

    26. Confidence Interval to Estimate ?1 - ?2 When ?1, ?2 are known

    27. Demonstration Problem 10.2

    28. EXCEL Output for Hernandez New-Employee Training Problem

    29. Dependent Samples Before and after measurements on the same individual Studies of twins Studies of spouses

    30. Formulas for Dependent Samples

    31. Sheet Metal Example-EXCEL Solution

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