Your boss tells you to analyze the comparative effectiveness oftwo existing UAVs at detecting particular “events” on the ground inthe CENTCOM area of responsibility (AOR). To do so, you are givendata from a series of experiments during which UAV “A” and UAV “B”were tested under controlled conditions. For each experiment, bothUAVs were flown. The data is shown below. Target UAV “A” Score UAV“B” Score 1 72 93 2 77 88 3 42 36 4 18 29 5 11 10 Assume that thedata are paired (i.e. tested against the same targets). At asignificance level of? = 0.05, test the hypothesis that the twotypes of UAVs perform the same versus the alternative hypothesisthat they are different. Hint: think paired data! Conduct a formalhypothesis test and report your conclusions.
Target | UAV “A” Score | UAV “B” Score |
1 | 72 | 93 |
2 | 77 | 88 |
3 | 42 | 36 |
4 | 18 | 29 |
5 | 11 | 10 |
A) Parameter of interest: From the problem context, identify theparameter of interest.
B) Null hypothesis, H0: State the null hypothesis, H0 in termsof the parameter of interest
C) Alternative hypothesis, H1: Specify an appropriatealternative hypothesis, H1.
D) Test Statistic: Determine an appropriate test statistic(equation; state degrees if freedom if necessary).
E) Reject H0 if: State the rejection criteria for the nullhypothesis for the given level of ?.
F) Computations: Compute any necessary sample quantities,substitute these into the equations for the test statistic, andcompute that value. Perform P-Value calculations.
G) Draw conclusions: Decide whether or not H0 should be rejectedand report that in the problem context. Make a “real-world”statement about the outcome of the test (cannot just say “rejectthe null hypothesis”)
