1. Describe the probability distribution of X and state its parameters and σ: (μ12 0,0 = 16✔ OF) and find the probability that the systolic blood pressure of a randomly selected patient is less than 85.2 mmHg. X~ N 2. Use the Central Limit Theorem (Round the answer to 4 decimal places) the original population is normally distributed although the sample size is small (n<30) to describe the probability distribution of X and state its parameters μx and ox: (Round the answers to 1 decimal place) X ~N (PX) = 12✔ ,0x = 4.✔ or and find the probability that the average systolic blood pressure of a sample of 14 randomly selected patients is between 110.3 and 111 mmHg. 0.0 (Round the answer to 4 decimal places)
1. Describe the probability distribution of X and state its parameters and σ: (μ12 0,0 = 16✔ OF) and find the probability that the systolic blood pressure of a randomly selected patient is less than 85.2 mmHg. X~ N 2. Use the Central Limit Theorem (Round the answer to 4 decimal places) the original population is normally distributed although the sample size is small (n<30) to describe the probability distribution of X and state its parameters μx and ox: (Round the answers to 1 decimal place) X ~N (PX) = 12✔ ,0x = 4.✔ or and find the probability that the average systolic blood pressure of a sample of 14 randomly selected patients is between 110.3 and 111 mmHg. 0.0 (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:In the US, the systolic blood pressure of a randomly selected patient is normally distributed with a mean of
120 mmHg and a standard deviation of 16.1 mmHg. Let X be the systolic blood pressure of a randomly
selected patient and let X be the average systolic blood pressure of a random sample of size 14.
1. Describe the probability distribution of X and state its parameters μ and σ:
or (μ= 12✓
and find the probability that the systolic blood pressure of a randomly selected patient is less than 85.2
mmHg.
X~N
X~ N
2
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
the original population is normally distributed although the sample size is small (n<30)
σ= 16✓ 0)
to describe the probability distribution of X and state its parameters μx and ox: (Round the answers to 1
decimal place)
or (Hx
= 12✔
> X
4.
and find the probability that the average systolic blood pressure of a sample of 14 randomly selected
patients is between 110.3 and 111 mmHg.
0.0 (Round the answer to 4 decimal places)
Transcribed Image Text:According to a study, the length of pregnancy has unknown distribution with a mean of 274 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 11.
1. Describe the probability distribution of X and state its parameters μ and σ:
X~ unknown
μ = 27✔ 0 0 = 14✓ 0
2
and find the probability that the length of pregnancy for a randomly selected female is more than 313
days.
(Round the answer to 4 decimal places)
Note: If it is not possible to compute, type "DNE"
2. Explain why the Central Limit Theorem cannot be used
the sample size is small (n<30) and the distribution of the original population is unknown
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