stat 101 group project - STAT101GROUPPROJECT GROUP2...

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STAT 101 GROUP PROJECT GROUP 2 Cristobal, Karla Patricia D. Dalisay, Mhely Louis A. Del Mundo, Cricelle Marie B. Del Valle, Maria Janina Regina D Ma’am Marian Reyes
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February 05, 2010 PROBLEM SET 1 Case 1: Colgate-Palmolive makes a “Total” effort In the mid-1990s, Colgate-Palmolive developed a new toothpaste for the U.S. market,  Colgate Total, with an antibacterial ingredient that was already being successfully sold overseas.  However, the word   antibacterial   was not allowed for such products by the Food and Drug  Administration rules. So Colgate-Palmolive had to come up with another way of marketing this  and other features of their new toothpaste to U.S. consumers. Market researchers told Colgate- Palmolive that consumers were weary of trying to discern among the different advantages of  various toothpaste brands and wanted simplification in their shopping lives. In response, the  name “Total” was given to the product in the United States: The one word would convey that the  toothpaste is the “total” package of various benefits. the commercials with focus groups. One commercial touting Total’s long-lasting bene\fits was  particularly  successful. Meanwhile, in 1997, Colgate-Palmolive received FDA approval for  Total, five years after the company had applied for it. The product was launched in the United 
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States in January of 1998 using commercials that were designed from the more successful ideas  of the focus group tests. A print campaign followed. Within three months, Colgate-Palmolive  grabbed  the  number one  market  share  for  toothpaste.   Ten   months  later,  21%  of  all  U.S.  households had purchased Total for the first time. During this same time period, 43% of those  who initially tried Total purchased it again. Colgate Total had been successfully introduced into  the U.S. market.  Questions for Discussion 1. What probabilities are given in this case? Use these probabilities and the probability laws to  determine what percentage of U.S. households purchased Total at least twice in the first 10  months of its release.  P (T 2 lT 1 ) = .43                  P (T 2 lT 1 ’) = .57                               P (T 1 ) = 0.21 P (T 2 T 1 ) = P (T 1 ) . P (T 2 lT 1 )       P (T 2 T 1 ’) = P (T 1 ’) . P (T 2 lT 1 ’)             P (T 1 ’) = 0.79                = 0.21 . 0.43                         = 0. 79 . 0.57       P (T 2 ) = 0.5496    = 0.0903                                           = 0.4503
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This note was uploaded on 11/26/2011 for the course STATISTICS 101 taught by Professor Dean during the Spring '09 term at University of the Philippines Diliman.

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stat 101 group project - STAT101GROUPPROJECT GROUP2...

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