Test the Claim That the Samples Come from Populations with the Same

question 59

Essay

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table.
$\begin{array}{lll}\text { brandA }&\text {brand B }&\text {brand C }\\\hline260 & 181 & 238 \\218 & 240 & 257 \\184 & 162 & 241 \\219 & 218 & 213\end{array}$
Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? Use $\text { Use } \alpha = 0.0$

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Definitions:

Mutually Agreeable Prices

Prices that are accepted by both buyers and sellers in a transaction, usually determined through negotiation or market dynamics.

Competition

The economic rivalry among businesses or individuals within a market, aiming to achieve higher sales, profits, and market share.

Social Cooperation

The collaborative effort of individuals or groups to achieve a common goal, often in the context of societal functioning.

Market Prices

The current value at which a good or service can be bought or sold in a marketplace.