SOLUTION: The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. ​(a) Determ

Algebra ->  Probability-and-statistics -> SOLUTION: The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. ​(a) Determ      Log On


   

Question 1050446: The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day.
​(a) Determine the 16th percentile for incubation times.
​(b) Determine the incubation times that make up the middle 97% of fertilized eggs.
How can I solve this (preferably) using a TI calculator?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a) z = invNorm(.16)-.9945 Use Your TI
z+=blue+%28x+-+mu%29%2Fblue%28sigma%29
0r
blue%28sigma%29%2Az+%2B+mu=blue+%28x%29
1%2A-.9945+%2B+19+=+18.0054 = 18days
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b middle 97%: from .015 to .985 %28100-.97%29%2F2+=+.015
z = invNorm( 98.5)= 2.17 and invNorm(.015)= -2.17
P(-2.17 ≤ z ≤ 2.17).
TI syntax is normalcdf(smaller z, larger z)
P(-2.17 ≤ z ≤ 2.17) = normalcdf(-2.17, 2.17) Use Your TI