Question

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 his 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 types? 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

Answer 1

[P-value = 0.457 ] 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 population For Glock and Stun Gun is between -2.44 and 6.08 with 90% confidence.

Was Cisco correct, does John’s Stun Gun perform the same? Explain

John’s Stun Gun perform does not the same because the CI include the value zero.