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- 64 owners and a similar age group of pet owners. The pet owners are matched one to one with the non-pet owners for income, number of close friendships, and 0. A researcher uses a matched-subjects design to in- than singles without pets. A mood inventory survey vestigate whether single people with pets are happier happier is given to a group of 20- to 29-year-old non-p general health. The data follow: Non-Pet Owner Pet Owner Matched Pair 12 14 8. 10 13 9. 9. D 13 E 10 12 F a. Is there a significant difference in the mood scores for non-pet owners versus pet owners? Test with a = .05 for two tails. b. Construct the 95% confidence interval to estimate the size of the mean difference in mood between the population of pet owners and the population of non-pet owners. (You should find that a mean difference of p, = 0 is an acceptable value, which is consistent with the conclusion from the hypoth- esis test.) %3D D. ABA researcher wants to conduct an experiment to determine which environment is best suited for studying - a library, in one's own room, or outside. A total of 30 university students volunteer to participate in the experiment. The researcher believes that gender has an effect on the results. What are the treatments in the experiment?Section 11.2 Question #4 The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subjected lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? View the table Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Polygraph test indicated that the subject lied. 9 48 Polygraph test indicated that the subject did not lie. 30 12 Determine the test statistic. χ2= _________ (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value= ___________ (Round to four decimal places as needed.)
- In a study about learning styles, researchers used a group of 64 elementary school students who volunteered to be part of the study. The researchers gave each student a pre-test and based upon the results, they divided them into 32 pairs of similarly scoring students. School administrators then randomly assigned one student from each pair to mathematics instruction online while the other student received in-person instruction in a traditional classroom. At the end of the year, all 64 students received a mathematics assessment, measured on a 100-point scale. The researchers calculated the difference (in person −− online) in the mathematics assessment scores for each pair of students. The 32 differences had a mean of 15 and a standard deviation of 3.9 points. Construct and interpret a 95% confidence interval for the mean difference (in person −− online) in the mathematics assessment scores for all pairs of students like these who learn math either face-to-face or online.A recent study indicates that people tend to select video game avatars with characteristics like those of their creators (Bélisle & Bodur, 2010). Participants who had created avatars for a virtual community game completed a questionnaire about their personalities. An independent group of viewers examined the avatars and recorded their impressions of the avatars. One personality characteristic considered was introverted/extroverted. The following frequency distribution of personalities for participants and the avatars they created. Is there a significant relationship between the personalities of the participants and the personalities of their avatars? Test with α = .05.A group of people use an app to track their work outs in the gym everyday. The workouts can be categorized as Strenuous, Moderate, or Light. When the data from the app was reviewed, the following observation was made: Of the people who work out strenuously on a particular day, 40% will work out strenuously the next day and 60% will work out moderately. Of the people who work out moderately on a particular day, 50% will work out strenuously the next day and 50% will work out lightly. Of the people working out lightly on a particular day, 30% will work out strenuously on the next day, 20% will work out moderately, and 50% lightly. (a) Set up the 3 x 3 transition matrix with rows and columns labelled S , M, and L. (b) Suppose that on a particular Monday, 80% work out strenuously, 10% moderately, and 10% lightly. What will the distribution be on Wednesday? (You can use a calculator for the matrix multiplication.) (c) Find the stable distribution algebraically.
