Three randomly selected households are surveyed. The numbers of people in the households are 1, 3, and 8. Assume that samples of size n= 2 are randomly selected with replacement from the population of 1, 3, and 8. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n = 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Three randomly selected households are surveyed. The numbers of people in the households are 1, 3, and 8. Assume that samples of size n= 2 are randomly selected
with replacement from the population of 1, 3, and 8. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers
when samples of sizes n = 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample
proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine
possible samples.
1,1 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8
Construct the probability distribution table.
Sample
Proportion
Probability
(Type an integer or fraction.)
Transcribed Image Text:Three randomly selected households are surveyed. The numbers of people in the households are 1, 3, and 8. Assume that samples of size n= 2 are randomly selected with replacement from the population of 1, 3, and 8. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n = 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.)
The assets (in billions of dollars) of the four wealthiest people in a particular country are 41, 35, 34, 11. Assume that samples of size n = 2 are randomly selected with
replacement from this population of four values.
a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In
the table, values of the sample mean that are the same have been combined.
Probability
Probability
41
34
38
26
37.5
23
35
22.5
34.5
11
(Type integers or fractions.)
Transcribed Image Text:The assets (in billions of dollars) of the four wealthiest people in a particular country are 41, 35, 34, 11. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability 41 34 38 26 37.5 23 35 22.5 34.5 11 (Type integers or fractions.)
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