The waiting times (in minutes) of a random sample of 2020 people at a bank have a sample standard deviation of 3.33.3 minutes. Construct a confidence interval for the population variance sigma squaredσ2 and the population standard deviation sigmaσ. Use a 90 %90% level of confidence. Assume the sample is from a normally distributed population. Question content area bottom Part 1 What is the confidence interval for the population variance sigma squaredσ2? (enter your response here,enter your response here) (Round to one decimal place as needed.) Part 2 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.) A. With 90 %90% confidence, you can say that the population variance is lessless than enter your response here. B. With 90 %90% confidence, you can say that the population variance is between enter your response here and enter your response here. C. With 1010% confidence, you can say that the population variance is greatergreater than enter your response here. D. With 1010% confidence, you can say that the population variance is between enter your response here and enter your response here. Part 3 What is the confidence interval for the population standard deviation sigmaσ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question content area bottom

Part 1

What is the confidence interval for the population variance

sigma squaredσ2?

(enter your response here,enter your response here)

(Round to one decimal place as needed.)

Part 2

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.)

With

90 %90%

confidence, you can say that the population variance is

lessless

than

enter your response here.

With

90 %90%

confidence, you can say that the population variance is between

enter your response here

and

enter your response here.

With

1010%

confidence, you can say that the population variance is

greatergreater

than

enter your response here.

With

1010%

confidence, you can say that the population variance is between

enter your response here

and

enter your response here.

Part 3

What is the confidence interval for the population standard deviation

sigmaσ?

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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