Exam 8: Tests for Significance: Z-Tests and One-Sample T-Tests

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You want to compare a sample of n = 80 to a population where = 6 and = 4. If x̄ = 8, what is the value of the standardized effect size?

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You draw a sample of n = 17 from a population where = 4. If x̄ = 3 and s = 4, t = -.82.

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Describe the different types of effect sizes and explain how to interpret them.

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You test the hypothesis that employees at Branch A have significantly higher sales than the branch average for the overall company. You find that z = 3.36, p < .05. Which of the following is a valid statement about these findings?

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You collect a sample of n = 16 and want to know if the sample is significantly smaller than the population. If is unknown and = .05, what is the appropriate critical value?

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If you retain the null, what should you do next?

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For a two-tailed z-test when n = 10 and = .05, the correct critical value is 1.645.

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You want to compare a sample of n = 25 to a population where = 5 and = 12. If x̄ = 15, what is the value of the test statistic?

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If you find a significant different in a one-sample test, you should determine both a confidence interval and an effect size.

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You draw a sample of n = 64 from a population where = 36 and = 4. If s = 5 and x̄ = 36, z = .06.

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To compare a sample of n = 16 to a population where = 10 and 2 = 16, you will conduct a one-sample t-test.

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When calculating an effect size, what is preferred?

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Define "effect size" and explain when one should be calculated and why.

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You want to demonstrate that a sample of n = 36 has a greater mean than a population where = 4 and = 8. If x̄ = 10, what is the critical value?

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You want to demonstrate that a sample of n = 25 has a different mean than a population where = 2 and = 7. If x̄ = 8, what is the correct decision?

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If you conduct a right-tailed one-sample t-test and find that t = -1.83 for a sample of n = 12, which of the following is the correct formal test of the hypothesis?

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If you run a right-tailed z-test when n = 176 and find that z = 1.78, then p < .05.

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If you conduct a z-test and find that z = 1.25 for a sample of n = 16, which of the following is the correct formal test of the hypothesis?

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For a one-tailed t-test when n = 6 and = .05, the correct critical value is 2.015.

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If you want to test the hypothesis, "Do customers at our London branch purchase more than our company-wide averages?", assuming = .05, what is the appropriate critical value?

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