Preliminary Data Analyses Indicates That Use of a Paired T-Test $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$

question 19

Essay

Preliminary data analyses indicates that use of a paired t-test is reasonable. Perform the hypothesis test by using eitherthe critical-value approach or the P-value approach as indicated. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
-The table below shows the weights, in pounds, of seven subjects before and after following a particular diet for two months. $\begin{array} { c | r r r r r r r } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\ \hline \text { Before } & 164 & 199 & 196 & 191 & 193 & 184 & 168 \\ \hline \text { After } & 157 & 190 & 194 & 196 & 179 & 186 & 156 \end{array}$ At the 1% significance level, do the data provide sufficient evidence to conclude that the diet is effective in reducing weight? Use the P-value approach.

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Definitions:

Primary Pollutant

A contaminant released directly into the atmosphere from identifiable sources, contributing directly to air pollution.

Coal

A combustible black or brownish-black sedimentary rock, formed as rock strata called coal seams, used primarily as a source of energy.

Carbon Monoxide

A colorless, odorless, and poisonous gas produced by incomplete combustion of carbon-containing materials.

Ozone

A molecule made up of three oxygen atoms that occurs naturally in the Earth's stratosphere and protects life by absorbing ultraviolet radiation.