Question

The Data Set shows the radar detection distances in miles for 24 targets when detected by two different systems. The observations in the first column are for the standard system and the observations in the second column are for a new system. You have been tasked with determining if the new system is detecting the targets at a further distance than the standard system.(Use hypothesis testing techniques. A 95% confidence level is recommended for this problem)

Standard	New
50.25226	45.19139
48.79062	46.25665
44.93614	47.6313
53.40849	51.00287
46.85347	49.78826
51.11679	52.21857
55.42255	52.68643
49.533	51.52625
47.32691	51.07519
56.43116	49.24232
52.41153	52.83267
51.52627	55.80427
48.77757	50.10489
51.21751	53.30719
47.43601	54.56977
52.52936	47.76231
52.81699	55.01091
48.22975	49.92336
47.36892	48.72541
48.91612	55.09662
49.60881	49.93186
50.82855	51.31635
50.09742	50.99462
48.26293	49.08548

Answer 1

Since the interval contain zero in it we can say that new is not significantly different from standard. But they are same mean at 95% confidence