Two weeks prior to final exams, 10 undergraduate students took part in an experi
ID: 3056790 • Letter: T
Question
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 =0.10.
Live Plant
Photo of Plant
No Plant
Student 1
95.6
96.6
92.6
Student 2
95.6
96.0
94.8
Student 3
96.0
96.2
97.2
Student 4
95.2
95.7
94.6
Student 5
96.7
94.8
95.5
Student 6
96.0
93.5
96.6
Student 7
93.7
96.7
96.2
Student 8
97.0
95.4
95.8
Student 9
94.9
90.5
99.5
Student 10
91.4
96.6
93.5
Identify the test that should be performed.
Test for differences in mean finger temperature among (the different students/ the different plant conditions)
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
Make the proper inferences.
(Reject /Do not reject )Upper H 0H0. There (is /is not )sufficient evidence that at least two of the mean finger temperatures among the different plant conditions differ.
If warranted, conduct Tukey's procedure to rank the means. Use an experimentwise error rate of =0.05.
Choose the correct answer below.
A. left parenthesis mu Subscript Live Baseline comma mu Subscript No Baseline right parenthesis less than mu Subscript PhotoLive,No<Photo
B. mu Subscript Photo Baseline less than mu Subscript Live Baseline less than mu Subscript NoPhoto<Live<No
C. left parenthesis mu Subscript Photo Baseline comma mu Subscript No Baseline right parenthesis less than mu Subscript LivePhoto,No<Live
D. mu Subscript Photo Baseline less than left parenthesis mu Subscript Live Baseline comma mu Subscript No Baseline right parenthesisPhoto<Live,No
E. mu Subscript Live Baseline less than left parenthesis mu Subscript Photo Baseline comma mu Subscript No Baseline right parenthesisLive<Photo,No
F. Tukey's procedure is not warranted in this case.
Live Plant
Photo of Plant
No Plant
Student 1
95.6
96.6
92.6
Student 2
95.6
96.0
94.8
Student 3
96.0
96.2
97.2
Student 4
95.2
95.7
94.6
Student 5
96.7
94.8
95.5
Student 6
96.0
93.5
96.6
Student 7
93.7
96.7
96.2
Student 8
97.0
95.4
95.8
Student 9
94.9
90.5
99.5
Student 10
91.4
96.6
93.5
Explanation / Answer
One-way ANOVA: Tempera versus session
Source DF SS MS F P
session 2 1.20 0.60 0.18 0.838
Error 27 91.33 3.38
Total 29 92.53
S = 1.839 R-Sq = 1.30% R-Sq(adj) = 0.00%
Report the test statistic.
F= 0.18_ (Round to two decimal places as needed.)
Report the p-value.
p-value = 0.838 (Round to four decimal places as needed
Make the proper inferences.
Ans:
Do not reject Ho. There is not sufficient evidence that at least two of the mean finger temperatures among the different plant conditions differ.
Choose the correct answer below.
Ans: F. Tukey's procedure is not warranted in this case.
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