2113- Analysis of Data and Chance Classwork #7 a study design subjects werehe ef

Question

2113- Analysis of Data and Chance Classwork #7 a study design subjects werehe effectiveness of acupuncture for treating migratn with acupuncture and 80 snhinat ed to t 6. The length of human pregnancies from conception to birth varies according to a is approximately Normal with mean 266 days and standard deviation 16 days. distribution that a. What is the probability that a randomly selected pregnancy excee ds 270 days? [10 points) 59% 4013 b. Find the probability that one randomly selected pregnant woman's pregnancy lasts between 250 and 270 days. [10 points) ilo lu .1587 as 439 c. Approximately043% of babies are born premature. What is the maximum number of days a woman can be pregnant for and the baby would still be considered premature? [ points

Explanation / Answer

mean= 266 , s = 16

a) P(x >270)

z =(x -mean)/s
= (270 - 266)/16
= 0.25

P(x >270) = P(z >0.25) = 0.4013 by using standard normal table

b)P(250 < x <270)
= P((250-266)/16 < z < (270 -266)/16)
= P(-1 < z <0.25)
P(250 < x <270) = P(-1 < z <0.25) = 0.4401 by using standard normal table

c)
z value at 0.43% = -0.1764
z = (x -mean)/s
-0.1764 = (x - 266)/16
x = 263.1780134

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