Find the Standardized Test Statistic to Test the Hypothesis That $\mu _ { 1 } > \mu _ { 2 }$

question 81

Multiple Choice

Find the standardized test statistic to test the hypothesis that $\mu _ { 1 } > \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.05$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 100 & \mathrm { n } _ { 2 } = 125 \\\overline { \mathrm { x } } 1 = 505 & \overline { \mathrm { x } } 2 = 490 \\\mathrm {~s} _ { 1 } = 45 & \mathrm {~s} _ { 2 } = 25\end{array}$$

• A) 2.98
• B) 2.81
• C) 1.86
• D) 0.91

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Definitions:

Onsite Assessment

An evaluation conducted physically at the location of interest to gather relevant information or data.

Six Sigma

A systematic approach and methodology aimed at reducing defects and improving quality in manufacturing and business processes to achieve near perfection.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values differ from the mean of the set.

Kaizen

A Japanese term meaning "change for the better" or "continuous improvement", often applied in business contexts to denote ongoing, incremental improvement processes.