Question

Your boss tells you to analyze the comparative effectiveness of two existing UAVs at detecting particular “events” on the ground in the CENTCOM area of responsibility (AOR).

To do so, you are given data from a series of experiments during which UAV “A” and UAV “B” were tested under controlled conditions. For each experiment, both UAVs 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 the data are paired (i.e. tested against the same targets). At a significance level of? = 0.05, test the hypothesis that the two types of UAVs perform the same versus the alternative hypothesis that they are different. Hint: think paired data!

Conduct a formal hypothesis test and report your conclusions.

A) Parameter of interest: From the problem context, identify the parameter of interest.

B) Null hypothesis, H0: State the null hypothesis, H0 in terms of the parameter of interest

C) Alternative hypothesis, H1: Specify an appropriate alternative hypothesis, H1.

D) Test Statistic: Determine an appropriate test statistic (equation; state degrees if freedom if necessary).

D) Reject H0 if: State the rejection criteria for the null hypothesis for the given level of α.

F) Computations: Compute any necessary sample quantities, substitute these into the equations for the test statistic, and compute that value. Perform P-Value calculations.

G) Draw conclusions: Decide whether or not H0 should be rejected and report that in the problem context. Make a “real-world” statement about the outcome of the test (cannot just say “reject the null hypothesis”)

Answer 1