At A Shooting Range Instructors Can Determine If A Shooter Is Consistently Missing The Target Because Of The Gun Sight 1 (46.3 KiB) Viewed 23 times
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 0.31. After the student shoots 29 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 0.01 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. Fill in the blank below. Ho ? = 0.31 H, ? 0.31 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
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? = 0.31 H,