Answered: Find a 95% confidence interval for 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

Over the past several months, an adult patient has been treated for severe muscle spasms. This
condition is associated with a low average total calcium level. Recently, a random sample of 10
of the patient’s total calcium tests (measured in mg/dL) had mean x = 9.95 and standard
deviation s = 1.02. You may assume that the total calcium level in the patient’s blood has an
approximately normal distribution. Find a 95% confidence interval for the population mean μ of
total calcium in this patient’s blood.

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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