Answered: (a) It has been reported that the…

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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Question

(a) It has been reported that the length of human pregnancies from conception to birth approximately follows a normal distribution with a mean of 266 days and a standard deviation of 16 days.
i. Find the probability that the pregnancies will last between 240 to 270 days?

ii. What is the probability that the pregnancies will go beyond 270 days?

iii. What length of time marks the shortest 70% of all pregnancies?

(b) A study on a sample of 60 pregnancies produced a mean of 265 days and a standard deviation of 15.5 days. Find the 95% confidence interval for estimating average length of human pregnancies.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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