Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given

question 69

Multiple Choice

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis
-A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below. $\begin{array} { l l l l l l l l l l l } \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \\ \text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \end{array}$
You wish the test the following hypothesis at the 1 percent level of significance.
$\mathrm { H } _ { 0 } : \mu _ { \mathrm { D } } = 0$ against $\mathrm { H } _ { 1 } : \mu _ { \mathrm { D } } > 0$ .
What decision rule would you use?

• A) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(2.821\).
• B) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(- 2.821\) or less than \(2.821\).
• C) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(- 2.821\).
• D) Reject \(\mathrm { H } _ { 0 }\) if test statistic is less than \(2.821\).

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Definitions:

Inspiratory Reserve Volume

Inspiratory Reserve Volume is the additional amount of air that can be inhaled after a normal inhalation, contributing to the total lung capacity.

Tidal Volume

The volume of air inhaled or exhaled in a normal breath at rest.

Residual Volume

Residual volume is the amount of air remaining in the lungs after a forceful expiration, ensuring that the lungs do not collapse.

Bell Jar

A piece of laboratory equipment resembling a bell, typically made of glass, used to create vacuums or to contain gases.