Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 12. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 4, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12 O ..... a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. Probability (Type an integer or a fraction. Use ascending order of the sample variances.) b. Compare the population variance to the mean of the sample variances. Choose the correct answer below. A. The population variance is equal to the mean of the sample variances. B. The population variance is equal to the square of the mean of the sample variances. O C. The population variance is equal to the square root of the mean of the sample variances. c. Do the sample variances target the value of the population variance? In general, do sample variances make good estimators of population variances?

Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 12. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 4, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4 12,12 O ..... a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. Probability (Type an integer or a fraction. Use ascending order of the sample variances.) b. Compare the population variance to the mean of the sample variances. Choose the correct answer below. A. The population variance is equal to the mean of the sample variances. B. The population variance is equal to the square of the mean of the sample variances. O C. The population variance is equal to the square root of the mean of the sample variances. c. Do the sample variances target the value of the population variance? In general, do sample variances make good estimators of population variances?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 3CST

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