Answered: At a shooting range, instructors can…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.32. After the student shoots 26 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cmcm, have a variance of 0.18. Does this evidence support the student’s claim that the gun’s sight is off? Use a 0.005 level of significance. Assume that the distances between the shots and the center of the shot pattern are normally distributed.

Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.

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