1. You are an analyst for a division headquarters deployed to Afghanistan. Your

Question

1. You are an analyst for a division headquarters deployed to Afghanistan. Your commander feels that there is no difference between the number of attacks on the weekday versus the weekend. You have collected the following reported insurgent activity for each of those two days, aggregated by month. Does attack frequency differ between weekdays and weekends? Make sure to justify what type of test you conducted. Month 2 4 5 6 9 10 11 Weekday 151 110 211 165 171 283 238 236 241 213 155 Weekend 191 94 158 248 182 262 335 242 223 225 209s

Explanation / Answer

Here

H0 : attack frequency are same on weekdays and weekends. weekday -weekend  = d = 0

Ha : Attack frequency are different on weekdays and weekends.  weekday - weekend d 0

Here

here n = 11

Here we will take it as paired data test because here for any perticular month paired data is surveyed

Test statistic

t = d/ sdsqrt(1/n)

t = 17.3636/ [ 46.057 * sqrt(1/11)]

t = 17.3636/ 13.8867

t = 1.25

Here for dF = 10 and alpha = 0.05

tcr = 2.2281

so t < tcr so we shall reject the null hypothesis and can conclude that attack freequency is not different of weekdays and weekends.

Weekday Weekend d 151 191 40 110 94 -16 211 158 -53 165 248 83 171 182 11 283 262 -21 238 335 97 236 242 6 241 223 -18 213 225 12 155 205 50 Mean Difference 17.36364 Std. Deviation of Difference 46.05708

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