In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey. 1: Better price 2: Friend's recommendation 3: Seeing others use it 4: Interesting packaging 5: Buzz-people talking about the brand 6: An advertisement 7: Press stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. Factor 1 2 3 4 5 Respondents (%) 68.8 60.4 22.6 20.6 16.8 6 7 8 16.8 14.9 6.7 Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following. (a) n(A), n(B), n(C) n(A) = 0 n(B) = 0 n(C) = 0 (b) n(ANB) 0 (c) n(Aºn C) 0 (d) n(An B) 0 (e) n(Aºncº) 0 x x X (f) n[(AUB) nc] 0 x X X x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey.
1: Better price
2: Friend's recommendation
3: Seeing others use it
4: Interesting packaging
5: Buzz-people talking about the brand
6: An advertisement
7: Press stories
8: Entertainer/sports celebrity endorsement
The results of the survey follow.
Factor
1
2
3
4
5
6
7
8
Respondents (%) 68.8 60.4 22.6 20.6 16.8 16.8 14.9 6.7
Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following.
(a) n(A), n(B), n(C)
n(A) = 0
n(B) = 0
n(C) = 0
(b) n(ANB)
0
(c) n(Aºn c)
0
(d) n(ANB)
0
(e) n(Aºncº)
0
X
X
X
(f) n[(AUB) n c]
0
X
X
X
X
Transcribed Image Text:In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey. 1: Better price 2: Friend's recommendation 3: Seeing others use it 4: Interesting packaging 5: Buzz-people talking about the brand 6: An advertisement 7: Press stories 8: Entertainer/sports celebrity endorsement The results of the survey follow. Factor 1 2 3 4 5 6 7 8 Respondents (%) 68.8 60.4 22.6 20.6 16.8 16.8 14.9 6.7 Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following. (a) n(A), n(B), n(C) n(A) = 0 n(B) = 0 n(C) = 0 (b) n(ANB) 0 (c) n(Aºn c) 0 (d) n(ANB) 0 (e) n(Aºncº) 0 X X X (f) n[(AUB) n c] 0 X X X X
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