pediatrician has three patients with measles and they are ages 1, 3, and 11. Assume that samples of sizen=2 are randomly selected with replacement from the population of 1, 3, and 11. Listed below are the nine different possible samples. Complete parts (a) through (c) below. 1,1 1,3 1,11 3,1 3,3 3,11 11,1 11,3 11,11 D Find the value of the population median he median is tound to one decimal place as needed.) Find the median of each of the nine samples and 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 ype integers or fractions. Use ascending order of the sample medians.) Find the mean of the sampling distribution of the sample medians. he mean is Round to one decimal place as needed) Based on the preceding results, is the sample median an unbiased estimator of the population median? Why or why not? A. The sample medians appear to target the population median. Sample medians are not unbiased estimators of population medians B. The sample medians do not target the population median. Sample medians are not unbiased estimators of population medians C. The sample medians appear to target the population median. Sample medians are unbiased estimators of population medians.

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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A pediatrician has three patients with measles and they are ages 1, 3, and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 3, and 11. Listed below are the nine different possible samples. Complete parts (a) through (c) below.
1,1 1,3 1,11 3,1 3,3 3,11
11,1 11,3 11,11 P
a. Find the value of the population median.
The median is
(Round to one decimal place as needed.)
b. Find the median of each of the nine samples and 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.)
c. Find the mean of the sampling distribution of the sample medians.
The mean is
(Round to one decimal place as needed)
d. Based on the preceding results, Is the sample median an unblased estimator of the population median? Why or why not?
O A. The sample medians appear to target the population median. Sample medians are not unbiased estimators of population medians.
O B. The sample medians do not target the population median. Sample medians are not unbiased estimators of population medians.
Oc. The sample medians appear to target the population median. Sample medians are unbiased estimators of population medians.
O D. The sample medians do not target the population median. Sample medians are unbiased estimators of population medians.
Transcribed Image Text:A pediatrician has three patients with measles and they are ages 1, 3, and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 3, and 11. Listed below are the nine different possible samples. Complete parts (a) through (c) below. 1,1 1,3 1,11 3,1 3,3 3,11 11,1 11,3 11,11 P a. Find the value of the population median. The median is (Round to one decimal place as needed.) b. Find the median of each of the nine samples and 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.) c. Find the mean of the sampling distribution of the sample medians. The mean is (Round to one decimal place as needed) d. Based on the preceding results, Is the sample median an unblased estimator of the population median? Why or why not? O A. The sample medians appear to target the population median. Sample medians are not unbiased estimators of population medians. O B. The sample medians do not target the population median. Sample medians are not unbiased estimators of population medians. Oc. The sample medians appear to target the population median. Sample medians are unbiased estimators of population medians. O D. The sample medians do not target the population median. Sample medians are unbiased estimators of population medians.
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