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Hypothesis Testing Using a Single Sample Z-Test On Aggression Levels

This Homework Solution will help you understand how to use a single-sample z-test to analyze aggression levels.

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Hypothesis Testing Using a Single Sample Z-Test on Aggression LevelsExercise 8: Single sample z-testAs preparation for this exercise, you are strongly advised do the Time to Practice exercise 1, 2, 3 and 4 inchapter 10, and check your workagainst the correct answers in the text.Test the hypothesis that the subjects in the data set sample are more or less aggressive before theintervention than a comparison population which has an aggression mean of 5 and a standard deviationof 1.Indicate the following steps:1.State the null and research hypotheses:Null hypothesis: ฮผ = 5Research (Alternative) Hypothesis:ฮผ โ‰  5 (claim)2.Set the level of significance, or Type 1 error, and explain what it means.Traditionally we take 0.05 as level of significance. The level of significance is the probability of incorrectlyrejecting the null hypothesis in favor of the alternative hypothesis (the claim in this case)3.Select the appropriate test statistic, and explain why it is appropriate. Describe the formula (10.1)for the statistic and what it means.The test statistic is a one sample z-test for a mean : the formula used is :๐‘ง=๐‘ฅโˆ’๐œ‡๐œŽโˆš๐‘›4.Compute the test statistic to get the โ€˜obtained valueโ€™.By using the Excel data on pre-aggression data we found : x = 5.75, n = 12 and๐œŽ=2.60Therefore :๐‘ง=5.75โˆ’52.60โˆš12=1.00

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Statistics

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