Exam 14: Students T Test for Correlated and Independent Groups

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In the t test for correlated groups, a directional H 1 may predict µ D > 0.

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The mean of the sampling distribution of The mean of the sampling distribution of   = _________. = _________.

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If a test is a robust test,

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The t test assumes that the independent variable affects either the mean of the dependent variable or the standard deviation, but not both.

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Define null-hypothesis approach.

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Based on your answer to problem 30, using a = .05 2 tail, what do you conclude about H 0?

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Which of the following tests analyzes the difference between the means of two independent samples?

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H1 cannot be true if H<sub>1</sub> cannot be true if   = 0 for a correlated groups design. = 0 for a correlated groups design.

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The t test for correlated groups requires that _________.

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A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained. A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained.   Construct the 95% confidence interval for ì <sub>1</sub> - ì <sub>2</sub>. The 95 % confidence interval = _________. Construct the 95% confidence interval for ì 1 - ì 2. The 95 % confidence interval = _________.

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In an independent groups design, if the independent variable has a real effect, µ 1 ≠µ 2 .

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If n 1 = n 2 and n is relatively large, then the t test is relatively robust against _________.

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A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained. A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained.   Assume there is a real effect and estimate the size of the effect. _________. Assume there is a real effect and estimate the size of the effect. _________.

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In a t test for two independent samples, the unbiased estimate of the population variance is

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A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children are used for the experiment. First, a baseline of the number of times the children brush their teeth over a month's period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded. A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children are used for the experiment. First, a baseline of the number of times the children brush their teeth over a month's period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded.   Assume there is a real effect and estimate the size of effect, using Cohens d. = _________. Assume there is a real effect and estimate the size of effect, using Cohens d. = _________.

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In employing a correlated groups design, one possible drawback is _________.

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A dog food manufacturer believes that he may have found a way to improve the taste of the dog food made by his company. To test the new process, the company recruited 12 dogs. The dogs were given the original food and the time required to eat a standard portion of the food was measured. Two days later the same dogs were fed the same quantity of the new formula and the time was measured again. The following times were recorded: It is assumed that faster eating represents greater preference for the product. A dog food manufacturer believes that he may have found a way to improve the taste of the dog food made by his company. To test the new process, the company recruited 12 dogs. The dogs were given the original food and the time required to eat a standard portion of the food was measured. Two days later the same dogs were fed the same quantity of the new formula and the time was measured again. The following times were recorded: It is assumed that faster eating represents greater preference for the product.

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What are the variables that affect the power of the t test? How does increasing each variable affect power?

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The t test for independent groups is a robust test.

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Homogeneity of variance means that µ 1 = µ 2 .

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