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A Market Research Firm Is Investigating the Appeal of Three \neq

Question 18

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A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labeled A,B,and C. The consumers are classified according to age and package design preference.  A market research firm is investigating the appeal of three package designs. The table below gives information obtained through a sample of 200 consumers. The three package designs are labeled A,B,and C. The consumers are classified according to age and package design preference.    Are  B  and  25 or older  independent and why or why not? A)  No, because P (25 or over | B)   \neq  P (B)  B)  Yes, because P (B)  = P(C)  C)  No, because P (25 or older | B)   \neq  P (25 or older)  D)  Yes, because P (25 or older  \cap B)   \neq  0 E)  No, because age and package design are different things
Are "B" and "25 or older" independent and why or why not?


A) No, because P (25 or over | B) \neq P (B)
B) Yes, because P (B) = P(C)
C) No, because P (25 or older | B) \neq P (25 or older)
D) Yes, because P (25 or older \cap B) \neq 0
E) No, because age and package design are different things

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