Answered: A simple random sample from a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A simple random sample from a population with a normal distribution of98body temperatures has x=98.40°F and s=0.68°F.

Construct an 80%confidence interval estimate of the standard deviation of body temperature of all healthy humans.

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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Step 1: Given information

$s a m p l e space s i z e left parenthesis n right parenthesis space equals space 98 S a m p l e space m e a n space colon space x with bar on top space equals space 98.40 s a m p l e space s tan d a r d space d e v i a t i o n colon space s space equals space 0.68 c o n s t r u c t space 80 space percent sign space c i space f o r space sigma. space$