Final Shot John Diggle needs to give up his trusted Glock for a more non-lethal weapon. Cisco Ramon builds him a stun gun that h
is claims matches the Glock shooting characteristics, including accuracy. Do these data representing "shot groups" give statistically significant evidence of a difference in accuracy between the two type? Glock (cm): 9.3 16.7 7.1 14 5 6
Stun Gun (cm): 4.9 14.1 7 7.2 5.4 8.6
Write the Hypotheses:
H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
Are the conditions for inference met? (draw a picture of the histograms)
Provide the calculations:
Sample mean diff:_________________________________
Standard err:_____________________________________
T-stat:__________________________________________
P-value:_________________________________________
Write your conclusion:
At the 5% level of significance, we ______________ that the mean difference in ___________ between ____________ and ______________ is _______________. We ________________________ the mean difference in ___________ between ____________ and ______________ is _______________. [P-value = ________ ]
Construct a 90% Confidence interval.
What does the interval mean in the context of the problem
We are 90% confident that the difference in mean _______________
For ________________________ is between ____________ and _______________ ___________________ than __________________.
Was Cisco correct, does John’s Stun Gun perform the same? Explain
