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

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) Determin      Log On


   



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) About Me  (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
---------------------------
​(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
----------------------------------------
Ans:
-2.17*1+19 = 16.83 days
+2.17*1+19 = 21.17 days
--------------------
Cheers,
Stan H.
-------------