(c) Compute the expected age μ of a super shopper. (Round your answer to two decimal places.) H = yr (d) Compute the standard deviation for ages of super shoppers. (Round your answer to two decimal places.) yr σ=

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(c) Compute the expected age \( \mu \) of a super shopper. (Round your answer to two decimal places.)

\[ \mu = \boxed{\phantom{}} \text{ yr} \]

(d) Compute the standard deviation \( \sigma \) for ages of super shoppers. (Round your answer to two decimal places.)

\[ \sigma = \boxed{\phantom{}} \text{ yr} \]
Transcribed Image Text:(c) Compute the expected age \( \mu \) of a super shopper. (Round your answer to two decimal places.) \[ \mu = \boxed{\phantom{}} \text{ yr} \] (d) Compute the standard deviation \( \sigma \) for ages of super shoppers. (Round your answer to two decimal places.) \[ \sigma = \boxed{\phantom{}} \text{ yr} \]
**Age Distribution of Promotion-Sensitive Shoppers**

A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. The table below represents the age distribution of these super shoppers.

| **Age range, years** | **18-28** | **29-39** | **40-50** | **51-61** | **62 and over** |
|----------------------|-----------|-----------|-----------|-----------|----------------|
| **Midpoint x**       | 23        | 34        | 45        | 56        | 67             |
| **Percent of super shoppers** | 10%        | 43%        | 21%        | 13%        | 13%             |

**Explanation:**

- **Age Range, Years:** The ages are divided into five groups: 18-28, 29-39, 40-50, 51-61, and 62 and over.
- **Midpoint x:** The midpoint of each age group. For example, the midpoint for ages 18-28 is 23 years.
- **Percent of Super Shoppers:** The percentage of super shoppers in each age group. The highest percentage of super shoppers is in the 29-39 age range (43%), while the lowest is in the 18-28 age range (10%). The 40-50 age range accounts for 21%, and both the 51-61 and 62 and over age ranges account for 13% each.
Transcribed Image Text:**Age Distribution of Promotion-Sensitive Shoppers** A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. The table below represents the age distribution of these super shoppers. | **Age range, years** | **18-28** | **29-39** | **40-50** | **51-61** | **62 and over** | |----------------------|-----------|-----------|-----------|-----------|----------------| | **Midpoint x** | 23 | 34 | 45 | 56 | 67 | | **Percent of super shoppers** | 10% | 43% | 21% | 13% | 13% | **Explanation:** - **Age Range, Years:** The ages are divided into five groups: 18-28, 29-39, 40-50, 51-61, and 62 and over. - **Midpoint x:** The midpoint of each age group. For example, the midpoint for ages 18-28 is 23 years. - **Percent of Super Shoppers:** The percentage of super shoppers in each age group. The highest percentage of super shoppers is in the 29-39 age range (43%), while the lowest is in the 18-28 age range (10%). The 40-50 age range accounts for 21%, and both the 51-61 and 62 and over age ranges account for 13% each.
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