An Educational Researcher Is Analyzing the Test Scores for Physics $\alpha = .05$

Multiple Choice

An educational researcher is analyzing the test scores for physics students taught using two different methods - a traditional method, and a web-based self-paced method. Can he conclude, at $\alpha = .05$ , that the test scores in the web-based self-paced method are lower?
$\begin{array}{lcc}\hline & \text { Traditional } & \text { Web-based Self-paced } \\\hline \text { Sample size } & 60 & 80 \\\text { Mean test score } & 86 & 83 \\\text { Population variance } & 24 & 34\end{array}$

A) The data supports the claim because the test value 3.30 is greater than the critical value 1.65.
B) The data supports the claim because the test value 3.30 is greater than the critical value 1.96.
C) The data supports the claim because the test value 1.82 is less than the critical value 1.96.
D) The data supports the claim because the test value 1.82 is greater than the critical value 1.65.