(a)Describes the general procedure:

i) For testing hypothesis about the equality of means of two normal populations for small

samples, when population variances are unknown.

ii) For testing hypothesis about mean of normal population, when population standard deviation known. (Marks: 02)

(b)The following is percentage distribution by income level and ownership of a random sample of 400 families in the city of Islamabad(Marks: 03)

Income Level

Fore Less thanRs. 12,000 :home owner is 10%and renter is 15%.

In between 12,000 to 60,000: home owner is35%andrenter is 25%

For more than 60,000

Home owner is 10% and also renter is 10%

Test the hypothesis that the home ownership is independent of the family income level, using 1% level of significance. Write assumption for the method you will use for this question?

(c) 100 males and 100 females are asked a series of question to determine whether that are considered heavy drinkers or not.45 of males are considered heavy drinkers.56 of females are classified as heavy drinkers .execute a hypothesis test as to whether there is relationship between gender and drinking at alpha