The waiting times (in minutes) of a random sample of21people at a bank have a sample standard deviation of3.3minutes. Construct a confidence interval for the population varianceσ2and the population standard deviationσ.Use a90%level of confidence. Assume the sample is from a normally distributed population. The waiting times (in minutes) of a random sample of 21 people at a bank have a sample standard deviation of 3.3 minutes. Construct a confidenceinterval for the population variance o and the population standard deviation o. Use a 90% level of confidence. Assume the sample is from a normallydistributed population.What is the confidence interval for the population variance o?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 place as needed.)O A. With 10% confidence, you can say that the population variance is lessO B. With 90% confidence, you can say that the population variance is betweenthanandOC. With 90% confidence, you can say that the population variance is greaterO D. With 10% confidence, you can say that the population variance is betweenthanandWhat is the confidence interval for the population standard deviation o?(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 place as needed.)O A. With 10% confidence, you can say that the population standard deviationis greater thanO B. With 90% confidence, you can say that the population standard deviationminutes.is betweenandminutes.OC. With 90% confidence, you can say that the population standard deviationO D. With 10% confidence, you can say that the population standard deviationis betweenis less thanminutes,minutes andminutes.

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Answered: The waiting times (in minutes) of 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

The waiting times (in minutes) of a random sample of

people at a bank have a sample standard deviation of

3.3

minutes. Construct a confidence interval for the population variance

σ2

and the population standard deviation

σ.

Use a

90%

level of confidence. Assume the sample is from a normally distributed population.

The waiting times (in minutes) of a random sample of 21 people at a bank have a sample standard deviation of 3.3 minutes. Construct a confidence
interval for the population variance o and the population standard deviation o. Use a 90% level of confidence. Assume the sample is from a normally
distributed population.
What is the confidence interval for the population variance o?
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 place as needed.)
O A. With 10% confidence, you can say that the population variance is less
O B. With 90% confidence, you can say that the population variance is between
than
and
OC. With 90% confidence, you can say that the population variance is greater
O D. With 10% confidence, you can say that the population variance is between
than
and
What is the confidence interval for the population standard deviation o?
(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 place as needed.)
O A. With 10% confidence, you can say that the population standard deviation
is greater than
O B. With 90% confidence, you can say that the population standard deviation
minutes.
is between
and
minutes.
OC. With 90% confidence, you can say that the population standard deviation
O D. With 10% confidence, you can say that the population standard deviation
is between
is less than
minutes,
minutes and
minutes.

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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