Exam 14: The T-Test

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An independent samples t -Test with a sample size of 50 will have 48 degrees of freedom.

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The term degrees of freedom refers to how many values are free to vary in a set of values if we know the summary statistic and the number of values in the set.

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In a pilot study, Dana wants to test the significance of the improvement in mean scores from pretest to posttest.Dana should use:

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When using an independent-samples t-Test, which of the following is considered when calculating the degrees of freedom?

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The t-Test formula involves calculating a t-score by:

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It is appropriate to use the independent-samples t-Test when:

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It is appropriate to use the t-Test when:

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It is appropriate to use the paired-samples t-Test when:

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A t distribution will provide a better estimate of the population mean and standard error than will a z distribution when the sample size is very small or badly skewed.

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An independent samples t -Test with a sample size of 100 will have 2 degrees of freedom.

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The paired-samples t-Test is used when the two groups of values that we want to compare are connected or related to each other in some way.

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If one group has a significant change in a paired-samples t-Test, and another group does not in its (separate) paired-samples t-Test, that signifies a significant difference between the groups.

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A non-parametric alternative to the t -Test can be used when dependent variable is at the ordinal level of measurement or is not distributed normally.

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Randy wants to see whether Intervention A is more effective than Intervention B in improving self-esteem scores.Randy conducts an experiment to see if recipients of Intervention A improve more in self-esteem from pretest to posttest than recipients of Intervention B, using the .05 level of significance.Randy conducts two paired-sample t-Tests and finds a p value of .04 for Intervention A's improvement and a p value of .06 for Intervention B's improvement.Randy then conducts an independent-samples t-Test of the posttest scores and finds a p value of .55.Which of the following statements is an appropriate conclusion from Randy's findings?

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Suppose a study is done in which the experimental and control groups both get pretests and posttests.Which of the following is the best statistical procedure?

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The t -Test calculates a t-score by dividing the difference between two means by the standard error of the difference between means in the theoretical sampling distribution.

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It is appropriate to use the t-Test when:

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The independent-samples t-Test is used when we want to compare the means of two independent groups.

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Suppose an experiment compares two independent groups on an ordinal dependent variable.Which of the following is the most appropriate nonparametric statistical procedure

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All t -Tests use the same t distribution regardless of the size of the sample and its standard deviation.

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