The null and alternate hypotheses are: H_0: mu_d = 0 H_1: mu_d note equal to 0 T

Question

The null and alternate hypotheses are: H_0: mu_d = 0 H_1: mu_d note equal to 0 The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the South Carolina Highway Patrol for the last five months. Assume the.05 significance level. Do this problem 2 ways: as dependent samples and as independent samples. What is(are) the critical value(s)? What is the test statistic? At the.05 significance level, is there a difference in the mean number of citations given by the two officers?

Explanation / Answer

From information given, dbar=4.6, sd=1.517, N=5 pairs,

For independnet samples,

SE(dbar)=sd/sqrt N=1.517/sqrt 5=0.6784

t4=(dbar-0)/SE(dbar)=(4.6-0)/0.6784=6.78

The p value at alpha=0.05 is 0.002.

The p value is less than alpha=0.05, reject H0, to conlcude that there is difference in mean number of citations given by two officers.

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