Question

A doctor is investigating the effect of a woman's age on the success of an IVF (in vitro fertilisation) procedure. She has randomly selected 10 women aged under 35 and 10 women aged at least 35. From hospital records she has obtained the following data, which record the numbers of eggs obtained from the women and the numbers that were fertilised during one IVF procedure. She wants to investigate the effect of the woman's age on the probability of an egg being successfully fertilised. She calls this probability the "fertilisation rate".

Women aged under 35		Women aged at least 35
Number ofeggs	Number of	Number ofeggs	Number of
	fertilised		fertilised
10	9	7	6
9	7	10	7
7	5	9	5
5	3	8	4
10	9	6	4
7	7	5	1
9	5	7	4
8	8	6	4
7	2	5	2
7	5	7	5

1. Carry out a suitable exploratory analysis to see whether the fertilisation rate might depend on the woman's age.

Answer 1

For calculating fertilization rate;

fertilization rate = Number of eggs / Number of fertilised

After these calculation, we draw a line chart for both groups women aged under 35 and women aged at least 35.

By observing the chart, the rate of fertilization is more in the group of women aged under 35.

I have attached image of all calulations.