(a) Exactly 210 consumers prefer a Cokn product. (b) letwnen 170 and 210 consumers (indusive) prefer a Coke product. 80217 Jx (e) Fewer than 210 consumens prefer a Coke product. (d) Would it be ununual to find that 247 of the 500 consumens preferred a Coke product? O Yes No * this were to cccur, what condusions would you draw? O Coke's market share is probably higher than claimed. Coke's market share estimate is plausibly accuratn. O Coke's market share is probably lower than claimed.

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Only need b,c, and d

Title: Analysis of Beverage Market Shares

**Pie Chart Analysis: Share of Voice for Beverage Brands**

The pie chart illustrates the market share distribution among various beverage brands:

- **Coke**: 36%
- **Pepsi**: 14%
- **Mountain Dew**: 14%
- **Red Bull**: 20%
- **Fanta**: 1%
- **Vitamin Water**: 1%
- **7up**: 2%
- **Dr. Pepper**: 12%

**Statistical Analysis**

A sample of \( n = 500 \) consumers is studied to record the number preferring Coke products. A normal distribution is utilized to calculate binomial probabilities. Answers are rounded to four decimal places.

**Questions and Responses**

(a) Probability of exactly 210 consumers preferring a Coke product:
- Response: 0.0898

(b) Probability of 170 to 210 consumers (inclusive) preferring a Coke product:
- Response: 0.9827

(c) Probability of fewer than 210 consumers preferring a Coke product:
- Response: 0.8947

(d) Would it be unusual to find that 247 out of the 500 consumers preferred a Coke product?
- Response: Yes (unchecked)
- Response: No (checked)

(e) If 247 consumers preferred a Coke product, the following conclusion is drawn:
- Coke's market share is probably lower than claimed. (checked)

This analysis questions the claim that Coke holds a 36% market share based on the statistical probability outcomes observed in the consumer sample.
Transcribed Image Text:Title: Analysis of Beverage Market Shares **Pie Chart Analysis: Share of Voice for Beverage Brands** The pie chart illustrates the market share distribution among various beverage brands: - **Coke**: 36% - **Pepsi**: 14% - **Mountain Dew**: 14% - **Red Bull**: 20% - **Fanta**: 1% - **Vitamin Water**: 1% - **7up**: 2% - **Dr. Pepper**: 12% **Statistical Analysis** A sample of \( n = 500 \) consumers is studied to record the number preferring Coke products. A normal distribution is utilized to calculate binomial probabilities. Answers are rounded to four decimal places. **Questions and Responses** (a) Probability of exactly 210 consumers preferring a Coke product: - Response: 0.0898 (b) Probability of 170 to 210 consumers (inclusive) preferring a Coke product: - Response: 0.9827 (c) Probability of fewer than 210 consumers preferring a Coke product: - Response: 0.8947 (d) Would it be unusual to find that 247 out of the 500 consumers preferred a Coke product? - Response: Yes (unchecked) - Response: No (checked) (e) If 247 consumers preferred a Coke product, the following conclusion is drawn: - Coke's market share is probably lower than claimed. (checked) This analysis questions the claim that Coke holds a 36% market share based on the statistical probability outcomes observed in the consumer sample.
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