In: Statistics and Probability
Dr. Nichols wants to know whether police stops of citizens are longer in the day time or at night. He ran a dependent-samples t test analysis. The results of the analysis are shown here:
Paired Samples Statistics
Pair 1: Duration (minutes) of stops made during the day mean= 13.58 N=65 Std. Deviation= 17.843 Std. Error Mean= 2.213
Duration (minutes) of stops made at night mean=9.60 N=65 Std. Deviation = 8.891 Std. Error Mean = 1.103
Paired Sampled Correlations
Pair 1: Duration (minutes) of stops made during the day & Duration (minutes) of stops made a night N = 65 Correlation=0.129 Sig=/ 0.306
Paired Sampled Test: Paired Differences
95% Confidence Interval of the Difference
Mean = 3.965 Std. Deviation = 18.882 Std. Error Mean = 2.342 Lower = -0.694 Upper = 8.663 t = 1.701 df = 64 Sig (2-tailed) = 0.094
Using the data shown above, complete the 5 steps of a hypothesis test. At the end, write a couple of sentences describing your substantive conclusions.