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 20 shots at the target, the
instructor calculates that the distances between his shots and the
center of the shot pattern, measured in cm cm , have a variance
of 0.29 . Does this evidence support the student’s claim that
the gun’s sight is off? Use a 0.01 level of significance.
Assume that the distances between the shots and the center of the
shot pattern are normally distributed.
Step 1 of 3: State the null and alternative hypotheses for the
test.
H0: σ2 = 0.32
Ha:σ2⎯⎯⎯⎯⎯0.32
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
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At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight
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