Exam 9: Testing Means: One-Sample and Two-Independent Sample T Tests

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Computing a one-sample t test is appropriate when

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Two researchers (A and B)compute a two-independent sample t test.For both tests,the mean difference between the two groups is 10,but the standard error is smaller for Researcher A.Which test is more likely to result in a decision to reject the null hypothesis?

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State the critical value(s)for a t test using a two-tailed test at a .05 level of significance: t(20).

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Which of the following is an assumption for computing any type of independent sample t test?

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The average response time to a bank robbery is about 9 minutes.A local community wants to improve on this time,so they implement advanced training seminars.They find that the new response time for a sample of 36 police officers is 8±4.2 (M±SD)minutes.Test whether this advanced training seminar reduced response time at a .05 level of significance.

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Is a one-sample t test reported differently for one-tailed and two-tailed tests?

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A t statistic estimates the standard error by using the sample variance to approximate the population variance.

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A one-sample t test will be t = 0 when the mean difference is equal to 0.

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An estimated Cohen's d is interpreted in terms of the number of standard deviations that an effect shifted in some population.

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A researcher reports that the mean time it takes to complete an experimental task is 1.4±8.0 (M±SD)seconds.If the null hypothesis was that the mean equals 1.0,then what is the effect size for this test using estimated Cohen's d?

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A researcher reports that the effectiveness of a new marketing campaign significantly increased sales compared with the previous campaign strategy,t(49)= 2.562,p < .05.Use eta-squared to interpret the effect size for this result.

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Which measure of effect size is most commonly reported with a t test?

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Normality is the assumption that data in the population are normally distributed.

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A researcher reports that the mean difference between two groups is 20.12 and the estimated standard error for the difference is 2.83.Hence,the conclusion must be to reject the null hypothesis for a two-tailed test at a .05 level of significance.

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A researcher reports that the mean difference in the body weight of rats following a pharmacological versus control treatment is 14 grams,with a pooled sample variance equal to 256.What is the effect size for this test using estimated Cohen's d?

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The mean crying time of infants during naptime at a local preschool is 12 minutes.The school implements a new naptime routine in a sample of 25 infants and records an average crying time of 8±4.6 (M±SD)minutes.Test whether this new naptime routine reduced crying time at a .05 level of significance.

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To compute a two-independent sample t test,a researcher has to know many values.Which of the following is NOT a value that the researcher must know to compute this test?

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A researcher records the number of distracters (such as noises)that preschool-aged children ignore while watching a popular Sunday morning cartoon show.Assuming that the population variance is unknown,what type of t test is appropriate for this study?

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A researcher reports the following result for a two-tailed test at a .05 level of significance,t(30)= 2.320,and correctly decides to retain the null hypothesis.

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State the critical value(s)for the following two-tailed t test at a .05 level of significance: t( State the critical value(s)for the following two-tailed t test at a .05 level of significance: t(   ). ).

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