Problem 7: The communication minister wanted to know if there is difference between

the traffic speeding fines paid by the residents of Dhaka (DHK) and the residents of

Chittagong city (CTG). The independent random samples of the amount of fines paid by

the residents in each of the two cities are given below:

DHK : 100 125 135 128 140 142 128 137 156 142

CTG: 95 87 100 75 110 105 85 95 - -

(a) Test the minister claims at 5% level of significance. State necessary assumptions

(b) Find 90% CI for the difference between two population means of fines paid by the

residents. Based on CI, would you able to have same conclusion that obtained in (a)?