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 0.34. After the student shoots 25 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.26. Does this evidence support the student's claim that the gun's sight is off? Use a 0.10 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Step 2 of 3: Compute the Value of the test statistic. Round your answer to three decimal places.

 

Step 3 of 3: Draw a conclusion and interpret the decision

 

 

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 0.34. After the student shoots 25 shots at the target, the instructor
calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.26. Does this
evidence support the student's claim that the gun's sight is off? Use a 0.10 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.
Transcribed Image Text: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 0.34. After the student shoots 25 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.26. Does this evidence support the student's claim that the gun's sight is off? Use a 0.10 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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