Exam 10: The T Test for Two Independent Samples

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​Two separate samples,each with n = 10 scores,will produce an independent-measures t statistic with df = 19.

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If two sample variances are not equal,the pooled variance will be closer to the larger of the two variances.​

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For an independent-measures research study,the data show an 8-point difference between the two treatment means and a pooled variance of 4.Given this information,what is the value of Cohen's d?​

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Two samples,each with n = 5 scores,have a pooled variance of 40.What is the estimated standard error for the sample mean difference??

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​Researchers conduct a hypothesis test and use the data from two separate sets of observations drawn from the same group of participants.Their research design is called a repeated-measures research design or a(n)____.

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Which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?​

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If two separate samples have M1 = 10 and M2 = 18 with a pooled variance of 16,then Cohen's d = 0.50.​

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​For a hypothesis test with the independent-measures t statistic,the null hypothesis states that the two population means are the same and the homogeneity assumption states that the two population variances are the same.

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​The results from an independent-measures t hypothesis test are reported as "t(14)= 2.13,p > .05,two tailed."For this test,the null hypothesis was rejected.

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​A researcher reports t(22)= 5.30,p < .01 for an independent-measures experiment.How many individuals participated in the entire experiment?

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If the two samples are the same size,the independent measures t statistic will have an even number for degrees of freedom.​

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​One method for correcting the bias in the standard error is to "pool" the two sample variances using a procedure that allows the bigger sample to carry more weight in determining the final value of the variance.

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An educational psychologist studies the effect of frequent testing on retention of class material.In one section of an introductory course,students are given quizzes each week.A second section of the same course receives only two tests during the semester.At the end of the semester,both sections receive the same final exam,and the scores are summarized below. FrequentQuizzes Two Exams =20 =20 =73 =68 a.If the first sample variance is s2 = 38 and the second sample has s2 = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test at the .05 level of significance.(Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.) b.If the first sample variance is s2 = 84 and the second sample has s2 = 96, do the data indicate that testing frequency has a significant effect? Again, use a two-tailed test with α = .05. c.Describe how the size of the variance affects the outcome of the hypothesis test.​

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A major company would like to assess the impact of using a professional trainer to conduct a confidence-building workshop with their salespeople.A sample of 16 workers is obtained.Half (n = 8)attend the workshop and the other half (n = 8)serves as a control group.For the first group of salespeople who attending the training,M = 22.7 and SS = 100.For the second group of salespeople who did not attend the training,M = 17.5 and SS = 124.​Use the sample data to construct an 80% confidence interval for the mean difference in confidence between the control group and the workshop conditions.

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​Two samples,each with n = 9 scores,produce an independent-measures t statistic oft = 2.00.If the effect size is measured using r2,what is the value ofr2?

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​An independent-measures research study uses two samples,each with n = 12 participants.If the data produce a t statistic of t = 2.50,then which of the following is the correct decision for a two-tailed hypothesis test?

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The data from an independent-measures research study produce a sample mean difference of 6 points and an estimated standard error of 2 points.If there are n = 8 scores in each sample,then the value for the t statistic is ____.​

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?Two samples,each with n = 4 scores,have a pooled variance of 32.The estimated standard error for the sample mean difference is 8\sqrt { 8 } .

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If other factors are held constant,the larger the difference between the two sample means is,the larger the value for the independent-measures t statistic will be.​

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A research design that uses a separate group of participants for each treatment condition(or for each population)is called an independent-measures research designor a____.​

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