Assume That You Want to Test the Claim That the Paired

question 102

Multiple Choice

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference
is $\mu _ { \mathrm { d } } = 0$ 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and
final answers to three decimal places as needed.
-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. $$\begin{array} { | l c c c c c c c c c c | } \hline \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \\\text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \\\hline\end{array}$$ You wish to test the following hypothesis at the 5 percent level of significance. $$\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0 \text { against } \mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } \neq 0$$ What is the value of the appropriate test statistic?

• A) 2.033
• B) 2.536
• C) 1.584
• D) 5.014

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Definitions:

Conditional

A statement or proposition that expresses a cause-and-effect relationship between two events or conditions, often formulated as "if-then."

Symbolic Logic

A branch of logic that uses symbols and operators to express logical expressions and relationships.

Truth Table

A mathematical table used in logic to compute the output of a particular logical operation or statement for all possible input combinations.

Inconsistent

Lacking compatibility or uniformity in action, behavior, or results.