Answered: As part of a water quality survey, you…

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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As part of a water quality survey, you test the water hardness in several randomly selected streams. The results are shown below. Construct a confidence interval for the population variance

σ2

and the population standard deviation

σ.

Use a

90%

level of confidence. Assume that the population has a normal distribution.

n=17

s=13

grains per gallon

What is the confidence interval for the population standard deviation o?
D (Round to one decimal place as needed.)

As part of a water quality survey, you test the water hardness in several randomly selected streams. The results are shown below. Construct a
confidence interval for the population variance o? and the population standard deviation o. Use a 90% level of confidence. Assume that the population
has a normal distribution.
n = 17
s = 13 grains per gallon
What is the confidence interval for the population variance o?
(102.8, 339.6) (Round to one decimal place as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to one decimal places as needed.)
OA. With 90% confidence, it can be said that the population variance is
O B. With 10% confidence, it can be said that the population variance is greater
between 102.8 and 339.6.
than
O C. With 90% confidence, it can be said that the population variance is less
O D. With 10% confidence, it can be said that the population variance is
than
between
and
What is the confidence interval for the population standard deviation o?
D (Round to one decimal place as needed.)

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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