three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median Probability (Type integers or fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. A. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). B. The population median is equal to the mean of the sample medians. C. The population median is equal to half of the mean of the sample medians. D. The population median is equal to double the mean of the sample medians. c. Do the sample medians target the value of the population median? In general, do sample medians make good estimators of population medians? Why or why not? A. The sample medians target the population median, so sample medians make good estimators of population medians. B. The sample medians do not target the population median, so sample medians do not make good estimators of population medians. C. The sample medians do not target the population median, so sample medians make good estimators of population medians. D. The sample medians target the population median, so sample medians do not make good estimators of population medians.

three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median Probability (Type integers or fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. A. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). B. The population median is equal to the mean of the sample medians. C. The population median is equal to half of the mean of the sample medians. D. The population median is equal to double the mean of the sample medians. c. Do the sample medians target the value of the population median? In general, do sample medians make good estimators of population medians? Why or why not? A. The sample medians target the population median, so sample medians make good estimators of population medians. B. The sample medians do not target the population median, so sample medians do not make good estimators of population medians. C. The sample medians do not target the population median, so sample medians make good estimators of population medians. D. The sample medians target the population median, so sample medians do not make good estimators of population medians.

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

three randomly selected households are surveyed. The numbers of people in the households are

and

Assume that samples of size

n=2

are randomly selected with replacement from the population of

and

Listed below are the nine different samples. Complete parts (a) through (c).

2,2

2,4

2,9

4,2

4,4

4,9

9,2

9,4

9,9

a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values.

Sample Median	Probability

(Type integers or fractions. Use ascending order of the sample medians.)

b. Compare the population median to the mean of the sample medians. Choose the correct answer below.

The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians).

The population median is equal to the mean of the sample medians.

The population median is equal to half of the mean of the sample medians.

The population median is equal to double the mean of the sample medians.

c. Do the sample medians target the value of the population median? In general, do sample medians make good estimators of population medians? Why or why not?

The sample medians target the population median, so sample medians make good estimators of population medians.

The sample medians do not target the population median, so sample medians do not make good estimators of population medians.

The sample medians do not target the population median, so sample medians make good estimators of population medians.

The sample medians target the population median, so sample medians do not make good estimators of population medians.

Click to select your answer(s).

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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