Answered: The body temperatures in degrees…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:

97.8

97.5

99.1

98.4

97.9

97.7

Assume body temperatures of adults are normally distributed. Based on this data, find the 80% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population.

80% C.I. =

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.

Expert Solution

Step 1

Given:

97.8

97.5

99.1

98.4

97.9

97.7

The formula to compute the confidence interval if we are not given the value of the population standard deviation is:

$C I = S a m p l e m e a n \pm C r i t i c a l v a l u e \times \frac{S a m p l e s \tan d a r d d e v i a t i o n}{\sqrt{S a m p l e s i z e}}$

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