Question

Question 1: The patient recovery time for a certain surgical procedure follows the distribution X~N(6.2, 2.3) (8 marks)

a) What type of distribution is this?

b) What is the mean recovery time μ?

c) What is the median recovery time?

d) What is the standard deviation σ for this distribution?

e) Calculate the z-scores for patients who take the following number of days to recover: 3, 5, 7, 9.

Answer 1

X~N(6.2, 2.3)

ie x~Normal(μ,σ)

a) What type of distribution is this?

Ans:it is symmetric distribution

b) What is the mean recovery time μ?

Ans: Mean=μ=6.2

c) What is the median recovery time?

Ans:Median=mean -----it is symmetric about mean

median=6.2

d) What is the standard deviation σ for this distribution?

Ansd:

standard deviation= σ=2.3

Ans e: z-score

Z-score=(x-μ)/σ

x	Z-score
3	-1.39130435
5	-0.52173913
7	0.347826087
9	1.217391304