A consultant working for a police barracks contends that service weapons will fi

Question

A consultant working for a police barracks contends that service weapons will fire with a higher muzzle velocity if the barrel is properly cleaned. A random sample of service weapons was obtained and the muzzle velocity (in feet/sec) of a single shot from each firearm was measured. Each gun was then professionally cleaned and the muzzle velocity of a single shot after cleaning was recorded. The data are below. Assume muzzle velocity is normally distributed regardless of the condition of the barrel. Is there any evidence that the muzzle velocity is higher when the barrel is clean? Other than increasing the number of firearms used in the test, what would you suggest the researcher change in order to improve this study?

Explanation / Answer

for p value from above is high we can not reject null hypothesis, that muzzle velocity before and after are same

b) we should see that shots physical dimension and property are same as well environmental factors whcih might affect muzzle velocity

before after difference(d) 1505 1625 120 1419 1511 92 1504 1459 -45 1494 1441 -53 1510 1472 -38 1506 1532 26 mean 17.000 std deviaition 74.9453 std error= std dev/(n)^(1/2) 30.5963 t stat= (d)/std error 0.5556 p value = 0.2993

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