Solve Stats Prob: Colgate Total US Market Results

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In summary, within a 10-month period, Colgate's product Total gained the number one market share for toothpaste in the U.S. 21% of U.S. households purchased Total for the first time, and 43% of those who tried it initially became repeat customers. This shows that Colgate Total was successfully introduced into the U.S. market.
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help please:

"Within three months, Colgate grabbed the number one market share for toothpaste. Ten months later, 21% of all U.S. households had purchased Total (a product of Colgate) for the first time. During this same period, 43% of those who initially tried Total purchased it again. Colgate Total had been succesfully introduced into the U.S. market."

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.

2) Is age category independent of willingness to try new products? According to the U.S. Census Bureau, approximately 20% of all Americans are in the 45-64 age category. Supposese 24% of the consumers who purchased Total for the first time during the initial 10-month period were in the 45-64 age category. Use this information to determine whether age is independent of the initial purchase of Total during the introductory time period. Explain your answer.

3) Using the probabilities given in Question 1, calculate the probability that a randomly selected U.S. consumer is either in the 45-64 age category or purchased Total during the initial 10-month period. What is the probability that a randomly selected person purchased Total in the first 10 months given that the person is in the 45-64 age category?
 
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  • #2
anyone know the answers? :redface:
 
  • #3
1. Why do you want to know? If these are homework problems (and they surely look like it) they should be posted in the homework section. Any you should tell us what you have done on them and what ideas you have regarding them.

2. One of the reasons for doing that is to let us know what definitions and theorems you have to work with. In problem one, I would be inclined to say that, while percentages are mentioned, there are NO probabilities given. But clearly, this problem assumes a wider definition of "probability" than I am using.
 
  • #4
i was thinking of posting in the homework section but decided to post in here because its the stats section and my question deals with stats.

1. i think its .43 x .32, not sure.

2. i think it deals with some probability, not sure.
 

FAQ: Solve Stats Prob: Colgate Total US Market Results

What is the purpose of conducting a stats prob on Colgate Total US market results?

The purpose of conducting a stats prob on Colgate Total US market results is to gain insight into the performance and effectiveness of the product in the US market. This analysis can help identify any trends or patterns in sales, customer satisfaction, and market share, which can inform future marketing strategies and product development.

What data is typically used in the stats prob for Colgate Total US market results?

The data used in the stats prob for Colgate Total US market results typically includes sales data, customer surveys, market research data, and competitor data. This data is collected and analyzed to understand the current market landscape and how Colgate Total is performing in comparison to its competitors.

How is the stats prob conducted for Colgate Total US market results?

The stats prob for Colgate Total US market results is typically conducted using statistical analysis methods such as regression analysis, trend analysis, and hypothesis testing. These methods help to identify any significant relationships or patterns in the data and draw conclusions about the performance of the product in the market.

What are some potential insights that can be gained from the stats prob on Colgate Total US market results?

Some potential insights that can be gained from the stats prob on Colgate Total US market results include identifying the target market for the product, understanding customer satisfaction and loyalty, identifying areas for improvement in the product or marketing strategy, and predicting future sales and market share based on current trends.

How can the results of the stats prob on Colgate Total US market results be used?

The results of the stats prob on Colgate Total US market results can be used to inform decision-making processes within the company. For example, the insights gained from the analysis can be used to develop new marketing strategies, improve the product, or make changes to the target market. The results can also be used to track the performance of the product over time and make adjustments as needed.

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