Question

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. Answer the following. For each question draw an appropriate distribution function​ (graph) to represent the​ data, shade the desired area, and show all​ work, including what you input into your calculator to attain your results.

(A) The 14th percentile for incubation times is __ days.
(B) The incubation times that make up the middle 97% of fertilized eggs are __ to __ days.

Answer 1

a)17.92

b) 16.83 .... 21.17

Explanation:

ρ→ z

0.14 = -1.080319341

-1.080 = (x - 19)/1 = 17.92

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3% / 2 = 1.5%

1.5% - 98.5%

ρ→ z

0.015 = -2.170090378 .... -2.17 = (x-19) =16.83

0.985 = 2.170090378 .... 2.17 = (x-19) =21.17