Consider a population consisting the scores of 8 students in a Statistic test. 18, 22. 25, 28, 32, 38 Suppose samples of size 3 are drawn from this population, describe the sampling distribution of the sample means following the steps below: 1. What is the mean of the population? Show your solutions here. 2. What is the variance of the population? Fill in the table and show your solutions here. (X - H) (X - H) 2 3. Determine the number of possible samples of size 3 Show your solutions here.
Consider a population consisting the scores of 8 students in a Statistic test. 18, 22. 25, 28, 32, 38 Suppose samples of size 3 are drawn from this population, describe the sampling distribution of the sample means following the steps below: 1. What is the mean of the population? Show your solutions here. 2. What is the variance of the population? Fill in the table and show your solutions here. (X - H) (X - H) 2 3. Determine the number of possible samples of size 3 Show your solutions here.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Activity. (It's Your Turn)
Consider a population consisting the scores of 8 students in a Statistic test.
18, 22. 25, 28, 32, 38
Suppose samples of size 3 are drawn from this population, describe the
sampling distribution of the sample means following the steps below:
1. What is the mean of the population?
Show your solutions here.
2. What is the variance of the population? Fill in the table and
show your solutions here.
(X - P)
(X - H) ?
3. Determine the number of possible samples of size 3
Show your solutions here.
![4. List the possible samples and the corresponding means in the table.
Samples
Means
5. Fill in the table to have a sampling distribution of the sample means.
Sample means
Frequency
Probability P(X)
6. Complete the table and calculate the mean of the sampling distribution of
the sample means using the formula: Pz. X* P( x)
Pobability
P(2)
* + P(X)
Means
E[X- P( X)] =
HE. X• P(X) =.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1af37c02-bcc1-4a95-bec5-a04dd36a9c7e%2F231ce2d3-d3da-4515-86c2-7288305a352f%2Fu4jwef_processed.png&w=3840&q=75)
Transcribed Image Text:4. List the possible samples and the corresponding means in the table.
Samples
Means
5. Fill in the table to have a sampling distribution of the sample means.
Sample means
Frequency
Probability P(X)
6. Complete the table and calculate the mean of the sampling distribution of
the sample means using the formula: Pz. X* P( x)
Pobability
P(2)
* + P(X)
Means
E[X- P( X)] =
HE. X• P(X) =.
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