In Order to Compare the Life Expectancies of Three Different

question 43

Essay

In order to compare the life expectancies of three different brands of tires, ten tires of each brand were randomly selected and were subjected to standard wear testing procedures. Information regarding the three brands is shown below.
$\begin{array}{ccc}&\text { Brand A }&\text { Brand B }&\text { Brand C }\\\text { Average mileage in } 1000 \text { miles) }&37 & 38 & 33 \\\text { Sample variance }&3 & 4 & 2\end{array}$ Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let α = 0.05. Use both the critical value and p-value approaches.

---

Definitions:

Pollen Grain

The structure that contains the male gametophytes of seed plants, responsible for the fertilization of the ovule.

Pseudocopulation

A behavior in some plants and animals where an individual engages in mating-like activities with objects or organisms of another species, often to enhance pollination or dispersal mechanisms.

Orchids

A diverse and widespread family of flowering plants, known for their beautiful and often fragrant flowers.

Sepals

The outer parts of a flower, typically green and leaf-like, that protect the developing bud.