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Exam 14: Students T Test for Correlated and Independent Groups

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Question 51

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Five students were tested before and after taking a class to improve their study habits. They were given articles to read which contained a known number of facts in each story. After the story each student listed as many facts as he/she could recall. The following data was recorded. What do you conclude using a = 0.052 tail?

A) reject H₀; the class appeared to improve study habits
B) retain H₀; the class had no effect on study habits
C) retain H₀; we cannot conclude that the class improved study habits
D) accept H₀; the class appeared to improve study habits

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Question 52

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If the correlation is zero between paired scores, the t test for correlated groups is more powerful than the t test for independent groups.

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Question 53

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Assuming large between subject variability, which of the following tests is usually the most sensitive ( N held constant) ?

One way of stating H₀ for the t test for independent groups is µ 1 - µ 2 = 0. (Assume H₁ is nondirectional)

If the confidence interval for µ 1 - µ 2 contains the value 0, we can reject H ₀.

If the homogeneity of variance assumption is not met, it is invalid to use the t test for independent groups.

When several tests are appropriate for analyzing data, it is best to use the least powerful test so as to minimize the probability of making a Type I error.

The t test for correlated groups requires the sampling distribution of be normally distributed.

If the homogeneity of variance assumption is violated in an experiment using the t test for independent groups, this means _________.

For the independent groups t test, gives a value in raw score units for the size of effect.

The sampling distribution of has a mean value equal to _________.

In testing the null hypothesis, the correlated t test allows one to utilize information on _________ in the test of significance.

When using the correlated groups t test, the larger the size of effect the larger is

If the independent variable has a real effect, the t test for independent groups assumes s ₁² = s ₂² .

When using the confidence interval approach for evaluating the effect of the independent variable, if the 95% confidence interval contains the value "0", we can reject H ₀ at á = 0.05.

In an independent groups design the nondirectional alternative hypothesis states _________.

The t test for correlated groups uses both the magnitude and direction of the difference scores.

In a repeated measures design the difference scores are used in the analysis, not the raw scores.

The z test for independent groups is seldom used because s 2 is unknown.