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:

Phenomena Study

The examination and investigation of observable events or occurrences, especially those that are unusual or not fully understood.

Case Study

An in-depth investigation and analysis of a single individual, group, event, or situation to explore its underlying principles, behaviors, or effects.

Individual Subject

An individual subject refers to a single human participant in a research study, emphasizing the focus on personal characteristics and responses.

In-depth Investigation

An extensive and thorough examination or inquiry into a subject or issue to uncover details, causes, effects, and solutions.