Three randomly selected households are surveyed. The numbers of people in the households are1,3,and8.Assume that samples of sizen=2are randomly selected with replacement from the population of1,3,and8.Construct a probability distribution table that describes the sampling distribution of the proportion ofevennumbers when samples of sizesn=2are randomly selected. Does the mean of the sample proportions equal the proportion ofevennumbers 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 ProportionProbability▼ 0.2500.1nothing▼ 0.250.50.75nothing▼ 0.750.251nothing(Type an integer or fraction.)Choose the correct answer below. A.The proportion ofevennumbers in the population is equal to the mean of the sample proportions ofoddnumbers. B.The proportion ofevennumbers in the population is not equal to the mean of the sample proportions. C.The proportion ofevennumbers in the population is equal to the mean of the sample proportions. D.The proportion ofoddnumbers in the population is equal to the mean of the sample proportions ofevennumbers.Choose the correct answer below. A.The sample proportions target the proportion ofevennumbers in the population, so sample proportions do not make good estimators of the population proportion. B.The sample proportions target the proportion ofevennumbers in the population, so sample proportions make good estimators of the population proportion. C.The sample proportions do not target the proportion ofevennumbers in the population, so sample proportions make good estimators of the population proportion. D.The sample proportions do not target the proportion ofevennumbers in the population, so sample proportions do not make good estimators of the population proportion.

Answer: We have given that, the population is 1,3 and 8. So, from this sample of size n=2 with…

Answered: Construct a probability distribution…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

See similar textbooks

Related questions

Concept explainers

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

Construct a probability distribution table that describes the sampling distribution of the proportion of

even

numbers when samples of sizes

n=2

are randomly selected. Does the mean of the sample proportions equal the proportion of

even

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
▼ 0.25 0 0.1	nothing
▼ 0.25 0.5 0.75	nothing
▼ 0.75 0.25 1	nothing

(Type an integer or fraction.)

Choose the correct answer below.

The proportion of

even

numbers in the population is equal to the mean of the sample proportions of

odd

numbers.

The proportion of

even

numbers in the population is not equal to the mean of the sample proportions.

The proportion of

even

numbers in the population is equal to the mean of the sample proportions.

The proportion of

odd

numbers in the population is equal to the mean of the sample proportions of

even

numbers.

Choose the correct answer below.

The sample proportions target the proportion of

even

numbers in the population, so sample proportions do not make good estimators of the population proportion.

The sample proportions target the proportion of

even

numbers in the population, so sample proportions make good estimators of the population proportion.

The sample proportions do not target the proportion of

even

numbers in the population, so sample proportions make good estimators of the population proportion.

The sample proportions do not target the proportion of

even

numbers in the population, so sample proportions do not make good estimators of the population proportion.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.