Test Hypotheses Regarding the Difference of Two Independent Means
-A $\alpha = 0.05$

question 117

Short Answer

Test Hypotheses Regarding the Difference of Two Independent Means
-A university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below. Test the hypothesis that there is no difference in age between the two groups. Use $\alpha = 0.05$ .
$\text { Day Staff }$
$\begin{array}{llllllllllll}22 & 24 & 24 & 23 & 19 & 19 & 23 & 22 & 18 & 21 & 21 & 18 \\18 & 25 & 29 & 24 & 23 & 22 & 22 & 21 & 20 & 20 & 20 & 27 \\17 & 19 & 18 & 21 & 20 & 23 & 26 & 30 & 25 & 21 & 25 &\end{array}$


Evening Staff
$\begin{array} { l l l l l l l l l l l l } 18 & 23 & 25 & 23 & 21 & 21 & 23 & 24 & 27 & 31 & 24 & 20 \\ 20 & 23 & 19 & 25 & 24 & 27 & 23 & 20 & 20 & 21 & 25 & 24 \\ 23 & 28 & 20 & 19 & 23 & 24 & 20 & 27 & 21 & 29 & 30 & \end{array}$

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Definitions:

Phenomenology

A philosophical approach that emphasizes the study of conscious experience from the first-person point of view.

Scientific Hypothesis

A proposed explanation for a phenomenon, which can be tested through experimentation and observation.

Empirically Tested

The process of verifying theories or hypotheses through direct observation and experiment, grounded in factual evidence and scientific method.

Variables

Are elements, traits, or conditions that can change or vary within an experiment or study, potentially influencing the results.