(a) Explain all hypotheses in test of hypothesis with a suitable example. Distinguish

between type I and type II errors in test of hypothesis. [6]

(b) Explain the contexts of using Z-test and t-test for testing population mean. [4]

(c) Some of the following statements refer to the null hypothesis, some to the

alternative hypothesis. State them in terms of the appropriate parameter ( or p). [4]

(i) The mean number of years Bangladeshis work before retiring is 30.

(ii) The mean starting salary for BUP graduates is at least TK. 40,0000 per year.

(iii) Twenty-nine percent of high school students get golden A+ grade.

(iv)The mean number of cars a person owns in her lifetime is not more than 3.

(v) The chance of developing breast cancer is under 11% for women.

(vi)Private university's mean tuition cost is more than TK 20,000 per year.