Two samples, sample one of size 16 and sample two of size 10, respectively, are drawn at random from two populations that are normally distributed. If their variances are found to be 24 and 18, respectively, find: i. 98% confidence interval for the ratio of the variances. ii. 90% confidence interval for the ratio of the variances.

Two samples, sample one of size 16 and sample two of size 10, respectively, are drawn at random from two populations that are normally distributed. If their variances are found to be 24 and 18, respectively, find: i. 98% confidence interval for the ratio of the variances. ii. 90% confidence interval for the ratio of the variances.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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Question

Two samples, sample one of size 16 and sample two of size 10, respectively, are drawn at random from two populations that are normally distributed. If their variances are found to be 24 and 18, respectively, find:
i. 98% confidence interval for the ratio of the variances.
ii. 90% confidence interval for the ratio of the variances.

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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