time because I saw him only once for an hour, and I didn't see him again until the day before the baby was born. I don't drink or run around, and there is no way this baby isn't his, so please print a retraction about the 266-day carrying time because otherwise I am in a lot of trouble. San Diego Reader Whether or not San Diego Reader is telling the truth is a judgment that lies beyond the scope of this exercise, but quantifying the plausibility of her story does not. According to the collective experience of generations of pediatricians, pregnancy durations, let's call them X, tend to be normally distributed with u = 266 days and o = 16 days. Perform a probability calculation that addresses San Diego Reader's credibility, presuming she was pregnant for 308 days. What would you conclude and why? Show the work behind your answer, including a z- %3D %3D score and probability. Your Answer: z=308-266/16%3D42/16%3D 2.63

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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100%
1/3 pts
Question 4
The following letter appeared in the popular "Dear Abby" newspaper advice
column in the 1970s:
Dear Abby: You wrote in your column that a woman is pregnant for 266 days.
Who said so? l carried my baby for ten months and five days, and there is no
doubt about it because I know the exact date my baby was conceived. My
husband is in the Navy and it couldn't have possibly been conceived any other
time because I saw him only once for an hour, and I didn't see him again until the
day before the baby was born.
I don't drink or run around, and there is no way this baby isn't his, so please print
a retraction about the 266-day carrying time because otherwise I am in a lot of
trouble.
San
Diego Reader
Whether or not San Diego Reader is telling the truth is a judgment that lies
beyond the scope of this exercise, but quantifying the plausibility of her story
does not. According to the collective experience of generations of pediatricians,
pregnancy durations, let's call them X, tend to be normally distributed with u =
266 days and o = 16 days. Perform a probability calculation that addresses San
Diego Reader's credibility, presuming she was pregnant for 308 days. What
would you conclude and why? Show the work behind your answer, including a z-
score and probability.
Your Answer:
z=308-266/16=42/16= 2.63
Quiz Score: 7 out
Transcribed Image Text:1/3 pts Question 4 The following letter appeared in the popular "Dear Abby" newspaper advice column in the 1970s: Dear Abby: You wrote in your column that a woman is pregnant for 266 days. Who said so? l carried my baby for ten months and five days, and there is no doubt about it because I know the exact date my baby was conceived. My husband is in the Navy and it couldn't have possibly been conceived any other time because I saw him only once for an hour, and I didn't see him again until the day before the baby was born. I don't drink or run around, and there is no way this baby isn't his, so please print a retraction about the 266-day carrying time because otherwise I am in a lot of trouble. San Diego Reader Whether or not San Diego Reader is telling the truth is a judgment that lies beyond the scope of this exercise, but quantifying the plausibility of her story does not. According to the collective experience of generations of pediatricians, pregnancy durations, let's call them X, tend to be normally distributed with u = 266 days and o = 16 days. Perform a probability calculation that addresses San Diego Reader's credibility, presuming she was pregnant for 308 days. What would you conclude and why? Show the work behind your answer, including a z- score and probability. Your Answer: z=308-266/16=42/16= 2.63 Quiz Score: 7 out
Question 3
1/2 pts
Every night when you get home from school, you take your dog Aiko for a walk.
The length of the walk is normally distributed with a mean of u = 12 minutes and
standard deviation of o = 4 minutes.
• What proportion of walks last longer than 20 minutes? Answer to four
decimal places.
• What proportion of walks last between 10 and 16 minutes? Answer to four
decimal places.
Your Answer:
u= 12, sd= 4
we need to compute Pr(10 less than or equal to x less than or equal to 16)
the corresponding z-values needed to be computed are:
z1= x1-u/sd%3D10-12/4%= -0.5
z2= x2-u/sd%316-12/4%3D1
we get:
Pr(10 less than or equal to x less than or equal to 16)= Pr(10-12/4 less than or
equal to z less than or equal to 16-12/4)= Pr(-0.5 less than or equal to Z less than
or equal to 1)
=Pr(z less than or equal to 1)-Pr(z less than or equal to -0.05)= 0.8413-0.3085%=
0.5328
Transcribed Image Text:Question 3 1/2 pts Every night when you get home from school, you take your dog Aiko for a walk. The length of the walk is normally distributed with a mean of u = 12 minutes and standard deviation of o = 4 minutes. • What proportion of walks last longer than 20 minutes? Answer to four decimal places. • What proportion of walks last between 10 and 16 minutes? Answer to four decimal places. Your Answer: u= 12, sd= 4 we need to compute Pr(10 less than or equal to x less than or equal to 16) the corresponding z-values needed to be computed are: z1= x1-u/sd%3D10-12/4%= -0.5 z2= x2-u/sd%316-12/4%3D1 we get: Pr(10 less than or equal to x less than or equal to 16)= Pr(10-12/4 less than or equal to z less than or equal to 16-12/4)= Pr(-0.5 less than or equal to Z less than or equal to 1) =Pr(z less than or equal to 1)-Pr(z less than or equal to -0.05)= 0.8413-0.3085%= 0.5328
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