Question

The mean incubation time of fertilized eggs is 20 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 95% of fertilized eggs.

Answer #1

Part a)

X ~ N ( µ = 20 , σ = 1 )

P ( X < x ) = 14% = 0.14

To find the value of x

Looking for the probability 0.14 in standard normal table to
calculate Z score = -1.0803

Z = ( X - µ ) / σ

-1.0803 = ( X - 20 ) / 1

**X = 18.9197**

P ( X < 18.9197 ) = 0.14

Part b)

X ~ N ( µ = 20 , σ = 1 )

P ( a < X < b ) = 0.95

Dividing the area 0.95 in two parts we get 0.95/2 = 0.475

since 0.5 area in normal curve is above and below the mean

Area below the mean is a = 0.5 - 0.475

Area above the mean is b = 0.5 + 0.475

Looking for the probability 0.025 in standard normal table to
calculate Z score = -1.96

Looking for the probability 0.975 in standard normal table to
calculate Z score = 1.96

Z = ( X - µ ) / σ

-1.96 = ( X - 20 ) / 1

**a = 18.04**

1.96 = ( X - 20 ) / 1

**b = 21.96**

**P ( 18.04 < X < 21.96 ) = 0.95**

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The mean incubation time of fertilized eggs is 23 days. Suppose
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Chapter 7.2 Question 14
The mean incubation time of fertilized eggs is 23 days.
Suppose the incubation times are approximately normally distributed
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A.) Determine the 17th percentile for incubation
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B.) Determine the incubation times that make up the
middle 95%

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The mean incubation time for a type of fertilized egg kept at a
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1818
days. Suppose that the incubation times are approximately
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dayday.
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(a) Draw a normal model that describes egg incubation times of
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Choose the correct graph below.
Click here to view graph d.
LOADING...
Click here to view graph c.
LOADING...
Click here to view graph b.
LOADING......

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