Two weeks prior to final exams, 10 undergraduate students took part in an experiment to determine...

 

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Two weeks prior to final exams, 10 undergraduate students took part in an experiment to determine what effect the presence of a live plant, a photo of a plant, or the absence of a plant has on the student's ability to relax while isolated in a dimly lit room. Each student participated in three sessions: one with a live plant, one with a photo of a plant, and one with no plant (the control). Since increasing finger temperature indicates an increased level of relaxation, the maximum temperature (in degrees) during each session was determined for each student and used as the response variable. The temperatures under the three plant conditions for the 10 students are given in the accompanying table. Conduct an ANOVA and make the proper inferences at α = 0.10. Click the icon to view the table. X Identify the test that should be performed. Test for differences in mean finger temperature among the different plant conditions. State the null and alternative hypotheses for this test. Ho Hlive Hphoto = μno H₂: At least two of the plant condition means differ. Use statistical software to conduct the ANOVA. Report the test statistic. F= (Round to two decimal places as needed.) Report the p-value. p-value = (Round to four decimal places as needed.) Temperatures under the three conditions for the 10 students- Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Student 7 Student 8 Student 9 Student 10 Live Plant 95.6 95.6 96.0 95.2 96.7 97.2 93.7 97.0 94.9 91.4 Print Photo of Plant 96.6 96.0 94.7 95.7 94.8 93.5 96.7 95.4 90.5 96.6 Done No Plant 92.6 94.8 97.2 94.6 95.5 96.6 96.2 95.8 99.5 93.5 D Two weeks prior to final exams, 10 undergraduate students took part in an experiment to determine what effect the presence of a live plant, a photo of a plant, or the absence of a plant has on the student's ability to relax while isolated in a dimly lit room. Each student participated in three sessions: one with a live plant, one with a photo of a plant, and one with no plant (the control). Since increasing finger temperature indicates an increased level of relaxation, the maximum temperature (in degrees) during each session was determined for each student and used as the response variable. The temperatures under the three plant conditions for the 10 students are given in the accompanying table. Conduct an ANOVA and make the proper inferences at α = 0.10. Click the icon to view the table. X Identify the test that should be performed. Test for differences in mean finger temperature among the different plant conditions. State the null and alternative hypotheses for this test. Ho Hlive Hphoto = μno H₂: At least two of the plant condition means differ. Use statistical software to conduct the ANOVA. Report the test statistic. F= (Round to two decimal places as needed.) Report the p-value. p-value = (Round to four decimal places as needed.) Temperatures under the three conditions for the 10 students- Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Student 7 Student 8 Student 9 Student 10 Live Plant 95.6 95.6 96.0 95.2 96.7 97.2 93.7 97.0 94.9 91.4 Print Photo of Plant 96.6 96.0 94.7 95.7 94.8 93.5 96.7 95.4 90.5 96.6 Done No Plant 92.6 94.8 97.2 94.6 95.5 96.6 96.2 95.8 99.5 93.5 D

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