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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:  Sample 1: 79615710812 Sample 2: 2259151018522273\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:

Bonds at Par

A situation where bonds are issued or traded at their face value or principal amount.

Bond Interest

The periodic payment made to the holders of a bond, representing a fixed income for the bond's duration.

Bonds at Discount

Bonds issued for less than their face value, where the difference between the purchase price and the face value is the interest earned by the investor.

Journal Entries

These are records of financial transactions within a company's accounting system, ensuring all financial transactions are properly documented.

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