a). The data below relates to two samples A&B.

=12000test at 5% level of significance, testthe hypothesis of equality of the means (6mks)

b). Apples fruits are packed in a crate of twenty and the probability of a fruit being spoilt by the time they reach their destination is 0.2%.1500 such crates were sampled. Determine the probability of finding no spoilt fruit.(6mks)

c).A sample of students had a mean age of 35 years with a standard deviation of 5 years. A student was randomly picked from a group of 200 students. Find the probability that the age of the student turned out to be as follows.(10mks)

i.Lying between 35 and 40

ii.Lying between 30 and 40

iii.Lying between 25 and 30

iv.Lying beyond 45 yrs

d).A random sample of 100 recorded deaths in Kenya during the past one year showed an average lifespan of 71.8 years with a standard deviation of 8.9 years. Does this seem to indicate that the average lifespan today is greater than 70 years at 1% level of significance ?(8mks)