2. 10,000 female students are found to have a mean weight of 63kg with a standard deviation of 7kg.

100 samples of size 36 are taken without replacement from the above. Estimate

i)

The mean of the sample means. Explain your answer.

(2 marks)

ii)

The standard deviation of the sample means

(2 marks)

iii)

The proportion of the sample means lying between 60 and 65 kg. (4 marks)