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

question 54

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.
-Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05. $$\begin{array} { l } \text { Brand A }& \text { Brand B } &\text { Brand C } & \text { Brand D } \\{ n = 16 } &{ n = 16 } & { n = 16 } &{ n = 16 } \\\bar { x } = 2.09& \bar { x } = 3.48 & \bar { x } = 1.86 & \bar { x } = 2.84 \\s = 0.37 & \mathrm {~s} = 0.61& \mathrm {~s} = 0.45 & \mathrm {~s} = 0.53 \\\end{array}$$

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Definitions:

Dissolution

The process of officially ending or terminating a legal entity such as a corporation, partnership, or marriage.

Wind Up

The process of concluding the affairs of a business or dissolution of a partnership, including paying debts and distributing assets.

Tender Offer

A proposal made by an investor or acquiring company to purchase a significant portion of the shares of another company directly from its shareholders at a specified price.

Target Company

A company that is the object of a takeover by another firm, which may involve a merger, acquisition, or purchase of a significant portion of its shares.