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) Determin

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Question 1100232: 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 14th percentile for incubation times.
​(b) Determine the incubation times that make up the middle 97​%.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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 14th percentile for incubation times.
Find the z-value with a left-tail of 0.14::
invnorm(0.14) = -1.0803
Find the corresponding incubation time:: -1.0803*1+19 = 17.92 days
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​(b) Determine the incubation times that make up the middle 97​%.
Find the z-value with a left-tail of 0.015
invnorm(0.015) = -2.17
Note:: The z-value with a left-tail of 0.985 is +2.17
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Ans:
-2.17*1+19 = 16.83 days
+2.17*1+19 = 21.17 days
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Cheers,
Stan H.
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