The Data Represent the Measure of a Variable Before and After

question 103

Essay

The data represent the measure of a variable before and after a treatment. Does the sample evidence suggestthat the treatment is effective in increasing the value of the response variable? Use the α = 0.01 level ofsignificance. Assume that the differenced data come from a population that is normally distributed with nooutliers. $$\begin{array} { c | c c c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\\hline \text { Before, } X _ { \mathrm { i } } & 9.4 & 9.7 & 9.6 & 9.5 & 9.4 & 9.4 & 9.5 \\\hline \text { After, } \mathrm { Y } _ { \mathrm { i } } & 9.5 & 9.9 & 9.6 & 9.4 & 9.5 & 9.7 & 9.3\end{array}$$

---

Definitions:

GST

Goods and Services Tax, a value-added tax levied on most goods and services sold for domestic consumption.

Sound System

A collection of electronic components designed to produce, amplify, and deliver audio signals.

Selling Price

The price at which an item is offered for sale to potential buyers.

PST

Provincial Sales Tax, a tax imposed by some Canadian provinces on the sale of goods and services.