Exam 9: Introduction to the T Statistic

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If random samples,each with n = 20 scores,are selected from a population,and the z-score and t statistic are computed for each sample,the t statistics will be more variable than the z-scores.

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Which of the following describes the function of a confidence interval?​

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Which of the following is a fundamental difference between the t statistic and a z-score?​

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When the population variance or standard deviation is not known,you must use a t statistic instead of a z-score for a hypothesis test.

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If a sample of n = 16 scores is being used to make an 80% confidence interval estimate of the population mean,μ,what value(s)of t should be used?​

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In general,the larger the value of the sample variance,the greater the likelihood of rejecting the null hypothesis.

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Although hypothesis tests are affected by sample size,it has little or no influence on measures of effect size,such as r2 or Cohen's d.

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The sample mean will always be exactly in the center of a confidence interval that is estimating the value of the population mean.

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On average,what value is expected for the t statistic when the null hypothesis is true?​

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In a hypothesis test,a large value for the sample variance increases the likelihood that you will find a significant treatment effect.

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Which of the following samples will have the smallest value for the estimated standard error?​

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If two samples,each with n = 20 scores,are selected from the same population and both have the same mean (M = 53)and the same variance (s2 = 12),then they will also have the same t statistic.

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How does sample variance influence the likelihood of rejecting the null hypothesis and measures of effect size such as r2 and Cohen's d?​

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A researcher conducts a hypothesis test using a sample of n = 40 from an unknown population.What is the df value for the t statistic?​

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For a two-tailed test with α = .05 and a sample of n = 16,the boundaries for the critical region are t = ±2.120.

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For a one-tailed test with α = .05 and a sample of n = 9,the critical value for the t statistic is t = 1.860.

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If other factors are held constant,which set of sample characteristics is most likely to produce a significant t statistic?​

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​A sample is selected from a population with μ = 46 and a treatment is administered to the sample.After treatment,the sample mean is M = 48 with a sample variance of s2 = 16.Based on this information,the size of the treatment effect,as measured by Cohen's d,is ____.

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The t distribution for df = 4 is flatter and more spread out than the t distribution for df = 20.

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A sample of n = 25 scores produces a t statistic of t = 2.062.If the researcher is using a two-tailed test,then which of the following is the correct statistical decision?​

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