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Statistics for The Behavioral
Quiz 8: Introduction to the T Test: Single Sample and Dependent Means
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Question 101
True/False
Power for a t test for dependent means can be determined using a power software package, Internet power calculator, or power table. (True or False)
Question 102
Essay
Research articles usually describe t tests in a standard format that includes __________ , __________ , and __________.
Question 103
Essay
An industrial researcher is a consultant to a large chain of bookstores. Industry reports show that for book stores in general, the average number of complaints received by management for a 1-month period at this time of year is 6.5 (the variance is not known). Seven of this chain's stores are randomly selected to keep records of complaints received over a 1-month period. The numbers of complaints are 4, 8, 9, 0, 3, 5, and 6. Does this chain get a different amount of complaints than book stores in general? (Use the .05 level). a. Use the five steps of hypothesis gathering. b. Explain what you did to a person who is familiar with hypothesis testing with a known population variance and a single sample, including understanding decision errors, effect size, and power, but knows nothing about t tests of any kind.
Question 104
Short Answer
When the results of a t test are presented in research articles, the __________ directly follow(s)the "t" and are in parentheses.
Question 105
Short Answer
When results of t tests are presented in a table, __________ will often be used to indicate level of significance.
Question 106
Essay
Why do repeated-measures designs have so much power?
Question 107
Essay
An organizational specialist is hired as a consultant to a company planning to open a coffee house for college students. The company wants to know if the customers will drink more coffee if the coffee house is decorated in a Paris motif or in a San Francisco motif. To test this, the researcher sets up two similar rooms, but with the two different motifs. She then arranges to have eight students spend an afternoon in each room while being allowed to drink all the coffee they like. (The order in which they sit in the rooms is rotated, so that half do their first afternoon in the Paris room and half in the San Francisco room.)The amount each student drinks is recorded below: Cups of Coffee Consumed for each Motif
Is there is' a significant difference between the number of cups of coffee consumed in the two rooms? a. Use the five steps of hypothesis testing (at the .05 level of significance) b. Figure the effect size and find the approximate power of this study
Question 108
Short Answer
From the statement "t(32)= 2.80, p < .01," the number of people in the sample is assumed to be __________.
Question 109
Essay
It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer)on this task. The researcher tested 30 randomly selected 80-year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)? a. Use the five steps of hypothesis gathering. b. Sketch the distributions involved. c. Explain what you did to a person who is familiar with hypothesis testing with a known population variance and a single sample, including understanding decision errors, effect size, and power, but knows nothing about t tests of any kind.
Question 110
Essay
A researcher administered a scale measuring concern for farm workers (high scores mean high concern)to seven students before and after they attended a film about union organization of farm workers. Results are shown below. Scores on the Concern Measure, Before and After Film
Do these results support the hypothesis that the film affected concern for the lives of farm workers? (Use the .05 level.) a. Use the five steps of hypothesis testing b. Figure the effect size and find the approximate power of this study.
Question 111
Essay
A consumer researcher was asked to test a claim by a franchise swimming instruction program. Specifically, they claimed that they could teach the average 7-year-old to swim across an Olympic-size pool in less than 2 hours. The researcher arranged for eight randomly selected 7-year-old children to take instruction at this school and kept a careful record of how long it took each child. The times (in minutes)were 60, 120, 110, 80, 70, 90, 100, and 130. What should the researcher conclude? Carry out a t test for a single sample (120 minutes is the "known" population mean)using the .01 significance level. a. Use the five steps of hypothesis testing. b. Explain what you did to a person who is familiar with hypothesis testing with a known population variance and a single sample, including understanding decision errors, effect size and power but knows nothing about t tests of any kind. Be sure to explain how this problem differs from a problem with a known population variance and a single sample.
Question 112
Essay
Provide an example of a study that would utilize a t test for a single sample. List three differences in how you would carry out hypothesis testing for a t test for a single sample versus for a Z test.