Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 16.3, Problem 19E
To determine
Test whether there is any difference in the mean importance score for the three social classes.
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A Canadian study measuring depression level in teens (as reported in the Journal of Adolescence, vol. 25, 2002) randomly sampled 112 male teens and 101 female teens, and scored them on a common depression scale (higher score representing more depression). The researchers suspected that the mean depression score for male teens is higher than for female teens, and wanted to check whether data would support this hypothesis.
If μ1 and μ2 represent the mean depression score for male teens and female teens respectively, which of the following is an appropriate pair of hypotheses in this case? Check all that apply.
In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction, during which the experimental group received peer tutoring and the control group did not. For the experimental group n1 = 30 children, the mean score on the vocabulary portion of the test was x1 = 368.4, with sample standard deviation s1 = 39.1. The average score on the vocabulary portion of the test for the n2 = 30 subjects in the control group was x2 = 349.0with sample standard deviation s2 = 56.2. Use a 1% level of significance to test the claim that the experimental group performed better than the control group.
(a) What is the level of significance?
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)
In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction, during which the experimental group received peer tutoring and the control group did not. For the experimental group n1 = 30 children, the mean score on the vocabulary portion of the test was x1 = 368.4, with sample standard deviation s1 = 39.1. The average score on the vocabulary portion of the test for the n2 = 30 subjects in the control group was x2 = 349.0with sample standard deviation s2 = 56.2. Use a 1% level of significance to test the claim that the experimental group performed better than the control group.
(a) What is the level of significance?
(b)What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)
Chapter 16 Solutions
Introduction to Statistics and Data Analysis
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
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- The following data are obtained from a study that seeks to investigate theeffects of an intervention program and the extent of their physical disability on their reading, math and IQ scores. The students who had been recipients of an intervention program are in the treatment group and while those who are not are in the control group. Questions:1. Is there a significant difference in the math, reading and IQ scores ofstudents in the treatment and controlgroups?2. Is the intervention program effective?3. Is there a significant difference in the math, reading and IQ scores ofstudentswhen they are grouped according to the extent of their physicaldisability?4. Isthereasignificantinteractionbetweentreatmentandextentofdisabilityonthe students’ reading, math and IQscores?arrow_forwardA random sample of Engineering and Architecture students of a university were interviewed to determine if there is an association between study habits and academic performance. The results were tabulated below. Students Favourable Neutral Unfavourable Engineering 80 60 70 Architecture 100 50 70 Test the hypothesis that there is no significant difference between the study habits and academic performance using a 0.05 level of significance.arrow_forwardBased on a survey of a random sample of 900 adults in the United States, a journalist reports that A random sample of 100 movie goers was asked to state his or her gender and favorite soft drink available at the local movie theater. The results appear in the table below. Is there a relationship between gender and soft drink preference? Coke Diet Coke Sprite Male 23 11 12 Female 16 28 10 To analyze the results, which of the following tests is most appropriate? A)Chi-square test of independence B)Chi-square test of homogeneity C)Two sample t-test D)Matched pair t-test E)Chi-square goodness of fitarrow_forward
- Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .01 and the Distributions tool to help. (Round your answers to three decimal places, when needed.) sMM = t-critical = t = The results indicate: Failure to reject the null hypothesis; answering questions while studying did not produce significantly higher exam scores…arrow_forwardWeinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .01arrow_forwardThe National Sleep Foundation conducted a survey on the sleep habits of randomly sampled transportation workers and a control sample of non-transportation workers. The results of the survey are shown below. Control Pilots Truck Drivers Train Operators Bus/Taxi/Limo Drivers Less than 6 hours of sleep 35 19 35 29 21 6 to 8 hours of sleep 193 132 117 119 131 More than 8 hours 64 51 51 32 58 Total 292 202 203 180 210 Conduct a hypothesis test to evaluate if these data provide evidence of a difference between the proportions of truck drivers and non-transportation workers (the control group) who get less than 6 hours of sleep per day, i.e. are considered sleep deprived.arrow_forward
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