Exam 15: Testing for a Difference

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Which kind of test of the difference between two means, if any, is most likely to present problems in interpretation?

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The following are the scores for the same five individuals obtained under both experimental and control conditions:  The following are the scores for the same five individuals obtained under both experimental and control conditions:      Test   against   > 0 ( \alpha  = .05) and draw final conclusions.  The following are the scores for the same five individuals obtained under both experimental and control conditions:      Test   against   > 0 ( \alpha  = .05) and draw final conclusions. Test  The following are the scores for the same five individuals obtained under both experimental and control conditions:      Test   against   > 0 ( \alpha  = .05) and draw final conclusions. against  The following are the scores for the same five individuals obtained under both experimental and control conditions:      Test   against   > 0 ( \alpha  = .05) and draw final conclusions. > 0 ( α\alpha = .05) and draw final conclusions.

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   retain   ; the results are not strong enough to conclude that there is a difference.
retain    retain   ; the results are not strong enough to conclude that there is a difference. ; the results are not strong enough to conclude that there is a difference.

For which of the following would the samples be considered dependent? A study to compare

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When samples are dependent, the standard error of the difference between two means will be

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Using paired observations (dependent observations) is most advantageous when

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We wish to test the hypothesis of no difference between two means. We will use either two matched groups of 40 subjects each, or else two independent groups of 40 subjects each. When the outcome is evaluated at the 5% significance level, the critical value of t will be

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The test between two dependent means requires that one must take special account of

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A tire manufacturer wishes to compare two designs for fiberglass belted tires with regard to tread wear. One tire of each design is placed on the rear wheels of each of seven test automobiles that are inspected regularly. The elapsed mileage until replacement is necessary is recorded for each tire. The following are the results (to the nearest 1000 miles): A tire manufacturer wishes to compare two designs for fiberglass belted tires with regard to tread wear. One tire of each design is placed on the rear wheels of each of seven test automobiles that are inspected regularly. The elapsed mileage until replacement is necessary is recorded for each tire. The following are the results (to the nearest 1000 miles):    Set up the statistical hypotheses; perform the test (α = .05) and draw final conclusions. Set up the statistical hypotheses; perform the test (α = .05) and draw final conclusions.

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We wish to compare reaction time to sound with reaction time to light. In a carefully controlled experiment, the time required to react to a buzzer and the time required to react to a white signal light are obtained for each of six subjects. The following are the results (in milliseconds): We wish to compare reaction time to sound with reaction time to light. In a carefully controlled experiment, the time required to react to a buzzer and the time required to react to a white signal light are obtained for each of six subjects. The following are the results (in milliseconds):     Set up the statistical hypotheses; perform the test (α = .05), and draw final conclusions. Set up the statistical hypotheses; perform the test (α = .05), and draw final conclusions.

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A problem in the interpretation of a significant outcome in the test of the difference between two dependent means is particularly likely to occur when

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An order effect occurs when

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Observations are dependent when

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We wish to test the hypothesis of no difference between the means of two dependent groups. There are 30 cases in the first sample, and 30 cases in the second. The number of degrees of freedom for this test will be

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When samples are dependent, this affects the

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We plan to use the D score approach for dependent samples to test a hypothesis about the difference between two means. The following are the observations for our three matched pairs: We plan to use the D score approach for dependent samples to test a hypothesis about the difference between two means. The following are the observations for our three matched pairs:    We plan to use the D score approach for dependent samples to test a hypothesis about the difference between two means. The following are the observations for our three matched pairs:

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You wish to compare two different orders of presentation (A and B) of the items on a standard IQ test administered to a representative group of 10-year-olds. The test is constructed to give a standard deviation of 15 IQ points in a representative group at any age level. What is the probability of detecting a true difference (You wish to compare two different orders of presentation (A and B) of the items on a standard IQ test administered to a  representative group of 10-year-olds. The test is constructed to give a standard deviation of 15 IQ points in a representative group at any age level. What is the probability of detecting a true difference (   of 5 IQ points (two-tailed test,  ) if each of the two samples is of size:    (a)10? (b)20? (c)40? (d)80? (e)200? of 5 IQ points (two-tailed test,You wish to compare two different orders of presentation (A and B) of the items on a standard IQ test administered to a  representative group of 10-year-olds. The test is constructed to give a standard deviation of 15 IQ points in a representative group at any age level. What is the probability of detecting a true difference (   of 5 IQ points (two-tailed test,  ) if each of the two samples is of size:    (a)10? (b)20? (c)40? (d)80? (e)200? ) if each of the two samples is of size: You wish to compare two different orders of presentation (A and B) of the items on a standard IQ test administered to a  representative group of 10-year-olds. The test is constructed to give a standard deviation of 15 IQ points in a representative group at any age level. What is the probability of detecting a true difference (   of 5 IQ points (two-tailed test,  ) if each of the two samples is of size:    (a)10? (b)20? (c)40? (d)80? (e)200? (a)10? (b)20? (c)40? (d)80? (e)200?

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Which of the following is correct with regard to the use of matched groups as a method of experimental control?

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We plan to use the D score approach to test the difference between two means for a sample of 10 matched pairs. Once the D scores are computed, the procedure is identical to that for testing a hypothesis about

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