Weapon of Choice The police and faculty conducted several experiments with the probably murder weapons. 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. The times for each weapon are normally distributed. First, answer the questions below. If at least two of the weapons differ (statistically significant difference) in “time to kill”, you can eliminate the weapon with the longest “time to kill.” Use an alpha of 0.10.
Power Shock Poison M&M Gummi Bear A. B. C. D.
Count 12 12 12
SUM M ARY STATISTICS Sum Average 164 13.66667 147 12.25 169 14.08333
Variance 3.515152 3.840909 1.901515
How many times was each weapon tested? What are your null and alternative hypotheses for each of the three tests? What is your decision for each test? Relate your decision to the scenario – do at least two of the three weapons differ in “time to kill?” How do you know? Use the results of your tests to justify you response. E. Explain the Type I and Type II errors for this scenario. F. Can you eliminate a murder weapon? If so, which one?
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