Answered: A simple random sample from a…

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 simple random sample from a population with a normal distribution of 106 body temperatures has x=98.70°F and s=0.64°F. Construct a 98% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 1.30°F?
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Part 1
enter your response here°F<σ<enter your response here°F
(Round to two decimal places as needed.)
Part 2
Is it safe to conclude that the population standard deviation is less than 1.30°F?
A.
This conclusion is not safe because 1.30°F is outside the confidence interval.
B.
This conclusion is safe because 1.30°F is in the confidence interval.
C.
This conclusion is not safe because 1.30°F is in the confidence interval.
D.
This conclusion is safe because 1.30°F is outside the confidence interval.

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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