Exam 15: Testing for a Difference
Exam 1: Introduction25 Questions
Exam 2: Frequency Distributions, Percentiles,34 Questions
Exam 3: Graphic Representation of Frequency Distributions25 Questions
Exam 4: Central Tendency25 Questions
Exam 5: Variability and Standard Z Scores37 Questions
Exam 6: Standard Scores and the Normal Curve27 Questions
Exam 7: Correlation38 Questions
Exam 8: Prediction40 Questions
Exam 9: Interpretive Aspects of Correlation and Regression23 Questions
Exam 10: Probability29 Questions
Exam 11: Random Sampling and Sampling Distributions24 Questions
Exam 12: Introduction to Statistical Inference: Testing Hypotheses About Single Means Z and T74 Questions
Exam 13: Interpreting the Results of Hypothesis Testing: Effect Size, Type I and Type II Errors, and Power42 Questions
Exam 14: Testing Hypotheses About the Difference Between Two Independent Groups33 Questions
Exam 15: Testing for a Difference18 Questions
Exam 16: Inference About Correlation Coefficients24 Questions
Exam 17: An Alternative to Hypothesis Testing: Confidence Intervals28 Questions
Exam 18: Testing for Differences Among Three or More Groups: One-Way Analysis of Variance and Some Alternatives49 Questions
Exam 19: Factorial Analysis of Variance30 Questions
Exam 20: Chi-Square and Inference About Frequencies27 Questions
Exam 21: Some Almost Assumption-Free Tests19 Questions
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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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(Multiple Choice)
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Correct Answer:
C
The following are the scores for the same five individuals obtained under both experimental and control conditions:
Test
against
> 0 ( = .05) and draw final conclusions.




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(Short Answer)
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Correct Answer:
retain ; 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
Free
(Multiple Choice)
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Correct Answer:
A
When samples are dependent, the standard error of the difference between two means will be
(Multiple Choice)
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Using paired observations (dependent observations) is most advantageous when
(Multiple Choice)
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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
(Multiple Choice)
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The test between two dependent means requires that one must take special account of
(Multiple Choice)
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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):
Set up the statistical hypotheses; perform the test (α = .05) and draw final conclusions.

(Short Answer)
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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):
Set up the statistical hypotheses; perform the test (α = .05), and draw final conclusions.

(Short Answer)
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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
(Multiple Choice)
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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
(Multiple Choice)
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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:



(Multiple Choice)
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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 (
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?



(Short Answer)
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Which of the following is correct with regard to the use of matched groups as a method of experimental control?
(Multiple Choice)
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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
(Multiple Choice)
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