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 varianceσ2and the population standard deviationσ.Use a95%level of confidence. Assume that the population has a normal distribution. n=22s=15grains per gallon As part of a water quality survey, you test the water hardness in several randomly selected streams. The results are shown below. Construct aconfidence interval for the population variance o² and the population standard deviation o. Use a 95% level of confidence. Assume that the populationhas a normal distribution.n = 22s = 15 grains per gallonWhat is the confidence interval for the population variance o?(CH D (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.)O A. With 95% confidence, it can be said that the population variance isO B. With 95% confidence, it can be said that the population variance is lessbetweenandthanOC. With 5% confidence, it can be said that the population variance isO D. With 5% confidence, it can be said that the population variance is greaterbetweenandthanWhat is the confidence interval for the population standard deviation o?) (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.)O A. With 5% confidence, you can say that the population standard deviation is O B. With 95% confidence, you can say that the population standard deviationgreater thangrains per gallon.is less thangrains per gallon.OC. With 95% confidence, you can say that the population standard deviationis betweenO D. With 5% confidence, you can say that the population standard deviation isgrains per gallon.andgrains per gallon.betweenand

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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

95%

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

n=22

s=15

grains per gallon

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 o² and the population standard deviation o. Use a 95% level of confidence. Assume that the population
has a normal distribution.
n = 22
s = 15 grains per gallon
What is the confidence interval for the population variance o?
(CH D (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.)
O A. With 95% confidence, it can be said that the population variance is
O B. With 95% confidence, it can be said that the population variance is less
between
and
than
OC. With 5% confidence, it can be said that the population variance is
O D. With 5% confidence, it can be said that the population variance is greater
between
and
than
What is the confidence interval for the population standard deviation o?
) (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.)
O A. With 5% confidence, you can say that the population standard deviation is O B. With 95% confidence, you can say that the population standard deviation
greater than
grains per gallon.
is less than
grains per gallon.
OC. With 95% confidence, you can say that the population standard deviation
is between
O D. With 5% confidence, you can say that the population standard deviation is
grains per gallon.
and
grains per gallon.
between
and

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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