For the Following Data, Compute the Test Statistic and the Critical

question 25

Multiple Choice

For the following data, compute the test statistic and the critical value, and determine whether to reject $H _ { 0 }$ at the $\alpha = 0.10$ level.
$\begin{array} { l | l | l | l | l | l | l | l | l } \text { Sample A } & 40 & 51 & 51 & 45 & 42 & 44 & 43 & 53 \\\hline \text { Sample B } & 25 & 40 & 34 & 51 & 29 & 29 & 38 & 62\end{array}$

• A) S=5, Critical value is 6, Reject H₀
• B) S=5, Critical value is 6, Do not reject H₀
• C) S=6, Critical value is 4, Reject H₀
• D) S=6, Critical value is 4, Do not reject H₀

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Definitions:

Stringed Instruments

Musical instruments that produce sound by vibrating strings, played either by plucking, striking, or using a bow.

Wind Instruments

Musical instruments that produce sound by the vibration of air in a tube; examples include flutes, clarinets, and trumpets.

Nearly Normal Condition

A condition in statistics where a sample distribution approximates a normal distribution, often requisite for certain types of inference.

Representative Sample

A subset of a population that accurately reflects the members of the entire population.