Find the Critical Value $$\mathrm { F } _ { 0 }$$

question 64

Multiple Choice

Find the critical value $$\mathrm { F } _ { 0 }$$ to test the claim that $$\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text {. }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. Use $$\alpha = 0.05$$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\\\mathrm {~s} _ { 1 } ^ { 2 } = 3.61 & \mathrm {~s} _ { 2 } ^ { 2 } = 2.25\end{array}$$

• A)2.15
• B)2.21
• C)2.14
• D)2.09

---

Definitions:

Private-label Brands

Products manufactured by one company for sale under another company's brand, commonly found in groceries and chain stores, offering a competitive alternative to national brands.

Retailers

Businesses that sell goods and services directly to consumers through various channels, including physical stores, online platforms, and catalogues, acting as intermediaries between manufacturers and end-users.

Line Extension

The introduction of additional items in a product line under the same brand name, often new flavors, forms, colors, added ingredients, or package sizes.

Brand Strategy

A plan developed by a business to create a particular image of itself and its products or services in the minds of consumers, distinguishing it from its competitors.