Construct a 95% Confidence Interval For $\mu 1 - \mu 2$

question 111

Multiple Choice

Construct a 95% confidence interval for $\mu 1 - \mu 2$ Two samples are randomly selected from normal populations.
The sample statistics are given below.
$\begin{array}{ll}\mathrm{n}_{1}=10 & \mathrm{n}_{2}=12 \\\overline{\bar{x} 1}=25 & \bar{x}_{2}=23 \\\mathrm{~s}_{1}=1.5 & \mathrm{~s} 2=1.5\end{array}$

• A) (0.360,3.640)
• B) (1.335,3.012)
• C) (1.413,3.124)
• D) (1.554,3.651)

---

Definitions:

Consumer Loyalty

The ongoing preference of a customer to buy a particular brand or product over competitors, often reflected in repeat purchases.

Brand Dilution

The weakening of a brand's power or the diminishing of its perceived value due to overextension, poor marketing decisions, or association with lower quality products.

Brand Extension

A marketing strategy where a company uses an existing brand name to launch a new product in a different category, leveraging brand equity.

Complementary Goods

Products or services that enhance or are necessary for the use of another product, such as printers and ink cartridges.