Exam 9: Introduction to the T Statistic

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A hypothesis test produces a t statistic of t = 2.20.If the researcher is using a two-tailed test with α = .05,how large does the sample have to be in order to reject the null hypothesis?

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A sample of n = 9 scores has a variance of s2 = 36.What is the estimated standard error for the sample mean?

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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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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 reject a null hypothesis stating that  = 80?

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A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53.Assuming a one-tailed test with the critical region in the right-hand tail,what is the correct decision?

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Although you can compute a z-score for a single score (a sample of n = 1),it is impossible to compute a t statistic for a sample that has only one score.Explain why.

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When n is small (less than 30),how does the shape of the t distribution compare to the normal distribution?

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

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Which of the following describes what a confidence interval does?

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With α = .01,the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ______.

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Compared to a z-score,a hypothesis test with a t statistic requires more information from the sample.

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Two samples are selected from a population,and a treatment is administered to the samples.If both samples have the same mean and the same variance,you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.

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A research report states "t(15)= 2.31,p < .05." For this study,the sample had n = 16 scores.

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Which set of characteristics will produce the smallest value for the estimated standard error?

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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

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If other factors are held constant,what is the effect of increasing the sample size?

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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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Which of the following is not needed to compute a t statistic?

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What value is estimated with a confidence interval using the t statistic?

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