Ap statistics Murder Mystery Key



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AP Statistics Murder Mystery Key

Adapted from Major Revak of US Air Force Academy by Linda Gann


The instructor’s secretary who contributed so much data for our AP Statistics errors was murdered last night. By working this series of AP Statistics review problems, you will solve a series of clues to determine the murder weapon, the location of the murder, and the identity of the murderer. Fortunately, the instructor was not harmed in any way and the AP Statistics website was not tampered with. The instructor has already narrowed the search to three possible murder weapons, three possible locations, and three primary suspects. The list appears below:

Murder Weapon

Murder Locations

Primary Suspects

Power Shock

The X-Bar Hall

The “fun-loving” senior

A Poison M&M

The Two-Tailed Tower

The Head Counselor

A Launched Flying Gummi Bear

The Least-Squares Stable

The junior with the long big toe

Progress through the clues to eliminate murder weapons, murder locations and suspects. When you think you have solved a clue, report to your instructor to receive the next clue. Try to be the first group to solve the murder!


The list of clue packets appears below. These do NOT need to be solved in order.
Weapon of Choice

Who Dunnit?

Location, Location, Location

Lethal Weapon

The Scene at the Scene

The Usual Suspects

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.
SUMMARY STATISTICS




Count

Sum

Average

Variance

Power Shock

12

164

13.66667

3.515152

Poison M&M

12

147

12.25

3.840909

Gummi Bear

12

169

14.08333

1.901515

A. How many times was each weapon tested? 12



B. What are your null and alternative hypotheses for each of the three tests?


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