Answered: Medical records at a doctor’s office…

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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Medical records at a doctor’s office reveal that 12% of adult patients have seasonal allergies. Select a random sample of 100 adult patients and let ?̂p^ = the proportion of individuals in the sample who have allergies.
(a)    Calculate the mean and standard deviation of the sampling distribution of ?̂p^ .
(b)    Interpret the standard deviation from part (a).
(c)    Would it be appropriate to use a normal distribution to model the sampling distribution of ?̂p^ ? Justify your answer.

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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