Suppose that pregnancy duration in days for women follows a normal (bell-curve) distribution with a mean of 268 and a standard deviation of 15. a.) Sketch the distribution, clearly showing one, two, and three standard deviations from the mean.   For (b) – (d) below, you must draw a picture.   b.) What percentage of pregnancies last less than 268 days? __________   c.) What percentage of pregnancies last greater than 298 days?        __________   d.) What is the z-score for a pregnancy lasting 290 days?  Use 2 decimal places.    __________   e.) Interpret the z-score in (d) specifically in the context of this problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

Suppose that pregnancy duration in days for women follows a normal (bell-curve) distribution with a mean of 268 and a standard deviation of 15.

a.) Sketch the distribution, clearly showing one, two, and three standard deviations from the mean.

 

For (b) – (d) below, you must draw a picture.  

b.) What percentage of pregnancies last less than 268 days? __________

 

c.) What percentage of pregnancies last greater than 298 days?        __________

 

d.) What is the z-score for a pregnancy lasting 290 days?  Use 2 decimal places.    __________

 

e.) Interpret the z-score in (d) specifically in the context of this problem.

Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill