The FDA Is Comparing the Mean Caffeine Contents of Two

question 87

Multiple Choice

The FDA is comparing the mean caffeine contents of two brands of cola. Independent random samples of 6-oz. cans of each brand were selected and the caffeine content of each can determined.
The study provided the following summary information. $\begin{array}{lrr}\hline & \text { Brand A } & \text { Brand B } \\\hline \text { Sample size } & 15 & 10 \\\text { Mean } & 18 & 20 \\\text { Variance } & 1.2 & 1.5 \\\hline\end{array}$

How many cans of each soda would need to be sampled in order to estimate the difference in the mean caffeine content to within . 10 with $90 \%$ reliability?

• A) \(n _ { 1 } = n _ { 2 } = 74\)
• B) \(n _ { 1 } = n _ { 2 } = 731\)
• C) \(n _ { 1 } = n _ { 2 } = 1038\)
• D) \(n _ { 1 } = n _ { 2 } = 104\)

---

Definitions:

Retail Location

The physical place where a retail business operates, essential for attracting customers and affecting the store's performance.

Community's Downtown

The central business district or main commercial area of a town or city, often considered the heart of a community where various activities converge.

Primary Store

The main store that a consumer frequents for their everyday or most frequent shopping needs.

Central Business District

The main commercial center of a town or city, where most offices, shops, and businesses are located.