Problem 4: In a random sample of 360 export managers in UK, 69 indicated some

measure of disagreement with this statement: the most important export market for UK

manufacturers in 10 years time will be the continent of Asia. Test at 5% level of

significance the null hypothesis that at least 25% of all members of this population

would disagree with this statement.

Problem 5: An educational study was designed to investigate the effectiveness of a reading program of elementary age children. Each child was given a pre-test and post-test. Higher post-test scores would indicate reading improvement. From a very large population, a random sample of scores of pre-test and post test are as follows:

Child: 1 2 3 4 5 6 7

Pre-test: 40 36 32 38 32 33 35

Post-test: 48 42 36 37 43 38 45

(a) Test whether the program is effective at 5% level of significance. State the

necessary assumptions

b) Find 90% CI for the difference of the population means of scores. Based on CI,

would you able to have same conclusion that obtained in (a)?

c) Find p-valeu and interpret it

Problem 5: 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)?