A Statistician Wants to Test for the Equality of Means

question 18

Essay

A statistician wants to test for the equality of means in two independent samples drawn from normal populations. However, he will not perform the equal-variance t-test of the difference between the population means if the condition necessary for its use is not satisfied. The data are as follows: $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \text { Sample 1: } & 7 & 9 & 6 & 15 & 7 & 10 & 8 & 12 & & \\\hline \text { Sample 2: } & 2 & 25 & 9 & 15 & 10 & 18 & 5 & 22 & 27 & 3 \\\hline\end{array}$$ Given the data above, can the statistician conclude at the 5% significance level that the required condition is not satisfied?

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Definitions:

Trial Balance

A bookkeeping worksheet in which the balances of all ledgers are compiled into debit and credit columns to ensure that a company's bookkeeping system is mathematically correct.

Credit

An accounting entry that increases liabilities or equity or decreases an asset or expense. Opposite of a debit.

Ledger

A comprehensive collection of a company's accounts that records all financial transactions.

Income Statement

A financial document that reports a company's financial performance over a specific period, showing revenues, expenses, and net profit or loss.