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

question 16

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. $$\begin{array} { c | r r r r r r r } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\ \hline \text { Before } & 196 & 187 & 177 & 161 & 197 & 168 & 154 \\ \hline \text { After } & 189 & 178 & 175 & 166 & 183 & 170 & 142 \end{array}$$ At the 1% significance level, do the data provide sufficient evidence to conclude that the diet is effective in reducing weight? Use the critical-value approach.

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Definitions:

Kidney Function Test

A group of tests that evaluate how well the kidneys are working, including filtration and waste removal from the body.

Electrolytes

Minerals in the body's fluids, including sodium, potassium, and calcium, that are vital for various bodily functions including muscle contractions and nerve signaling.

BUN

Blood Urea Nitrogen, a test measuring urea nitrogen in the blood to assess kidney function.

Capillary Blood

A second explanation: A small sample of blood collected from a capillary, often used for quick diagnostic tests and screenings.