According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters and σ: X~ Select an answer (= Select an answer N B x² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. σ= (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown ET to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~ Select an answer ✓ (x = Select an answer N F unknown T B X² , ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)
According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters and σ: X~ Select an answer (= Select an answer N B x² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. σ= (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown ET to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X~ Select an answer ✓ (x = Select an answer N F unknown T B X² , ox= and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. (Round the answer to 4 decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 4
According to a study, the length of pregnancy of a randomly selected female has an unknown distribution
with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a
randomly selected female and let X be the average length of pregnancy for a random sample of size 36.
1. Describe the probability distribution of X and state its parameters and o:
P
HH2
ttttt
X~ Select an answer ✓ (μ =
Select an answer
B
X²
unknown
and find the probability that the length of pregnancy for a randomly selected female is between 246 and
286 days.
, 0 =
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
Select an answer
Select an answer
the original population is normally distributed
the sample size is large (n>30) although the distribution of the original population is unknown
the distribution of the original population is unknown
the sample size is small (n<30) and the distribution of the original population is unknown
Once
to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1
decimal place)
X Select an answer ✓ (x =
Select an answer
N
unknown
T
B
X²
ox=
and find the probability that the average length of pregnancy for a sample of 36 randomly selected females
is more than 278 days.
(Round the answer to 4 decimal places)
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