Refer to the following MegaStat output (some information is missing). The sample size was n = 65 in a one-factor ANOVA. $\begin{array}{|l|l|l|l|l|l|l|}
\hline
&&\text { Mon }&\text { Fri }&\text { Tue }&\text { Thu }& \text { Wed }\
&&147.4&197.0&198.1&220.8& 223.6\
\hline \text { Mon }&147.4&& & & & \
\hline \text { Fri }&197.0&3.02 & & & & \
\hline \text { Tue }&198.1&3.08 & 0.07 & & & \
\hline \text { Thu }&220.8&4.46 & 1.45 & 1.38 & & \
\hline \text { Wed }&223.6&4.64 & 1.62 & 1.55 & 0.17 & \
\hline
\end{array}$ At ? = .05, which is the critical value of the test statistic for a two-tailed test for a significant difference in means that are to be compared simultaneously? Note: This question requires a Tukey table.
A)2.81
B)2.54
C)2.33
D)1.96

Question

Quizplus · Accepted Answer

The critical value for a Tukey test at α = .05 with a sample size of n = 65 (which gives degrees of freedom = 65 - 1 = 64) for comparing multiple means simultaneously is approximately 2.81. This value is typically found in a Tukey critical value table, where you look up the value based on the degrees of freedom associated with the error term and the number of groups being compared. Since specific degrees of freedom for the error term are not provided, the closest approximation is used, and for large sample sizes like 65, the critical value tends to stabilize around values like 2.81 for α = .05.

Refer to the Following MegaStat Output (Some Information Is Missing)