Exam 10: The T Test for Two Independent Samples

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The 95% confidence interval for the difference between two treatment means extends from-2.50 to +5.50.Based on this information,you can conclude that there is no significant difference between the treatments at the .05 level of significance.​

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​One sample has n = 7 scores with SS = 40,and a second sample has n = 5 scores with SS = 80.The pooled variance for these two samples is 120/10 = 12.

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Describe the data that are collected for an independent-measures t test and the hypotheses that the test evaluates.​

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For an independent-measures research study,what is measured by Cohen's d or r2?​

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For the independent-measures t statistic,what is the effect of increasing the difference between sample means?​

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Which of the following is the correct null hypothesis for an independent-measures t test?​

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For an independent-measures t statistic,what is the effect of increasing the number of scores in the samples?​

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The null hypothesis for the independent-measures t test states that there is no difference between the two sample means.

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When pooling variances,the resulting value will be closer to the variance for the sample with the smaller number of scores.​

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An independent-measures study with n = 6 in each sample,produces a sample mean difference of 4 points and a pooled variance of 12.What is the value for the t statistic?​

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​An independent-measures study has M1 = 49 and M2 = 45 with an estimated standard error of 4.For this study,Cohen's d = 4/4 = 1.00.

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Two samples,each with n = 6 subjects,produce a pooled variance of 20.Based on this information,what is the estimated standard error for the sample mean difference?​

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An independent-measures study produces t(21)= 3.00,p < .01.For this study,if effect size is measured with r2,then r2 = 9/30.​

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A researcher conducts an independent-measures study examining how the brain chemical serotonin is related to aggression.One sample of rats serves as a control group and receives a placebo that does not affect normal levels of serotonin.A second sample of rats receives a drug that lowers brain levels of serotonin.Then the researcher tests the animals by recording the number of aggressive responses each of the rats display.The data are as follows. Control Low Seroto =10 =15 =14 =19 =180.5 =130.0 a. Does the drug have a significant effect on aggression? Use an alpha level of .05, two tails. b. Compute Cohen's d to measure the size of the treatment effect.

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If the sample mean difference is 3 points,which of the following sets of data would produce the largest value for Cohen's d?​

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The independent-measures t statistic uses the data from two separate samples to draw inferences about the mean difference between two populations or between two different treatment conditions.​

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​An independent-measures study produces sample means of M1 = 35 and M2 = 31 and a pooled variance of 25.For this study,Cohen's d = ____.

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​Which of the following sets of data would produce the largest value for an independent-measures t statistic?

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​An independent-measures research study uses a total of 18 participants to compare two treatment conditions.If the results are used to construct a 90% confidence interval for the population mean difference,then the t values will be ±1.746.

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An independent-measures study comparing two treatment conditions produces a t statistic with df = 18.If the two samples are the same size,how many participants were in each of the samples?​

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