In: Statistics and Probability
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 | 94 |
2 | 76 | 88 |
3 | 42 | 36 |
4 | 18 | 28 |
5 | 11 | 10 |
Assume that the data are paired (i.e. tested against the same targets). At a significance level of Alpha= 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.
1.Parameter of interest: From the problem context, identify the parameter of interest.
2. Null hypothesis, H0: State the null hypothesis, H0 in terms of the parameter of interest
3.Alternative hypothesis, H1: Specify an appropriate alternative hypothesis, H1.
4.Test Statistic: Determine an appropriate test statistic (equation; state degrees if freedom if necessary).
5.Reject H0 if: State the rejection criteria for the null hypothesis for the given level of α.
6.Computations: Compute any necessary sample quantities, substitute these into the equations for the test statistic, and compute that value. Perform P-Value calculations.
7.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”)