The police and faculty conducted several experiments with the possible murder weapons (even the murder hornet). In one test, they simulated the use of each weapon and recorded the amount of time (in minutes) required to complete the simulated murder task (i. e. the "time to kill"). The times for each weapon are normally distributed. Sample size (n) Sample mean (xÌ) Sample Variance ()

Stun gun 10 13.6667 3.5152
Poisoned M&M 10 12.25 3.8409
Murder hornet 10 14.0833 0.5184

Required:
a. Perform an F test for one-way ANOVA with α = 0.05 to determine whether there is a significant difference among the mean times. For simplicity, assume that all assumptions are satisfied.
b. If ANOVA indicates that there is a difference among the means, perform the Tukey-Kramer test with α = 0.05 on each pair of means. If the "time to kill" of at least two of the weapons significantly differ, you can eliminate the weapon with the longest "time to kill."