A study was conducted to see how people reacted to certain facial expressions. A sample group of n=36n=36 was randomly divided into six groups. Each group was assigned to view one picture of a person making a facial expression. Each group saw a different picture, and the different expressions were (1) Surprised (2) Nervous (3) Scared (4) Sad (5) Excited (6) Angry. After viewing the pictures, the subjects were asked to rank the degree of dominance they inferred from the facial expression they saw. (The scale ranged from -10 to 10) The data collected is summarized in the table below. Subject Surprised Nervous Scared Sad Excited Angry 1 −1.5−1.5 0.30.3 −0.0999999999999999−0.0999999999999999 1.91.9 −0.5−0.5 −1.7−1.7 2 1.21.2 −1.6−1.6 −0.3−0.3 −1.3−1.3 1.91.9 −1−1 3 1.11.1 11 0.20.2 0.20.2 −0.6−0.6 1.21.2 4 −2−2 −0.5−0.5 0.70.7 −0.3−0.3 0.60.6 −1.8−1.8 5 −0.9−0.9 −2−2 −1.3−1.3 −1.4−1.4 −1.2−1.2 −0.4−0.4 6 −0.9−0.9 −0.9−0.9 1.11.1 0.90.9 0.50.5 −0.9−0.9 (a) Complete the following table of rank values and their totals:   Subject Surprised Nervous Scared Sad Excited Angry 1             2             3             4             5             6             Totals             (b) Give the value of the test statistic:    (c) The rejection region for the standardized test statistic and a 1% significance level:    (d) Your decision for the hypothesis test: A. Do Not Reject HaHa. B. Do Not Reject H0H0. C. Reject HaHa. D. Reject H0H0.

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 A study was conducted to see how people reacted to certain facial expressions. A sample group of n=36n=36 was randomly divided into six groups. Each group was assigned to view one picture of a person making a facial expression. Each group saw a different picture, and the different expressions were (1) Surprised (2) Nervous (3) Scared (4) Sad (5) Excited (6) Angry. After viewing the pictures, the subjects were asked to rank the degree of dominance they inferred from the facial expression they saw. (The scale ranged from -10 to 10) The data collected is summarized in the table below.

Subject Surprised Nervous Scared Sad Excited Angry
1 −1.5−1.5 0.30.3 −0.0999999999999999−0.0999999999999999 1.91.9 −0.5−0.5 −1.7−1.7
2 1.21.2 −1.6−1.6 −0.3−0.3 −1.3−1.3 1.91.9 −1−1
3 1.11.1 11 0.20.2 0.20.2 −0.6−0.6 1.21.2
4 −2−2 −0.5−0.5 0.70.7 −0.3−0.3 0.60.6 −1.8−1.8
5 −0.9−0.9 −2−2 −1.3−1.3 −1.4−1.4 −1.2−1.2 −0.4−0.4
6 −0.9−0.9 −0.9−0.9 1.11.1 0.90.9 0.50.5 −0.9−0.9


(a) Complete the following table of rank values and their totals:

 

Subject Surprised Nervous Scared Sad Excited Angry
1            
2            
3            
4            
5            
6            
Totals            

(b) Give the value of the test statistic: 

 

(c) The rejection region for the standardized test statistic and a 1% significance level: 

 

(d) Your decision for the hypothesis test:

A. Do Not Reject HaHa.
B. Do Not Reject H0H0.
C. Reject HaHa.
D. Reject H0H0.

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