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The assets (in billions of dollars) of the four wealthiest people in a particular country are 33, 32, 23, 15. 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 33 24 32.5 23.5 32 23 28 19 27.5 15 (Type integers or fractions.) Enter your answer in the edit fields and then click Check Answer.

The assets (in billions of dollars) of the four wealthiest people in a particular country are 33, 32, 23, 15. 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 33 24 32.5 23.5 32 23 28 19 27.5 15 (Type integers or fractions.) Enter your answer in the edit fields and then click Check Answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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### Problem 6.3.11 #### Context: The assets (in billions of dollars) of the four wealthiest people in a particular country are 33, 32, 23, and 15. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. #### Objective: 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. #### Table: | \(\bar{x}\) | Probability | \(\bar{x}\) | Probability | |-------------|--------------|-------------|--------------| | 33 | ☐ | 24 | ☐ | | 32.5 | ☐ | 23.5 | ☐ | | 32 | ☐ | 23 | ☐ | | 28 | ☐ | 19 | ☐ | | 27.5 | ☐ | 15 | ☐ | (Type integers or fractions.) #### Instructions: Enter your answer in the edit fields and then click Check Answer. --- - Remaining parts: **2 parts remaining** ##### Buttons: - Previous/Next - Clear All - Check Answer --- #### Additional Notes: This is part of an interactive exercise meant to teach the concept of sampling distributions. Students are expected to calculate the sample means and their probabilities accurately to complete the table provided.
Transcribed Image Text:### Problem 6.3.11 #### Context: The assets (in billions of dollars) of the four wealthiest people in a particular country are 33, 32, 23, and 15. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. #### Objective: 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. #### Table: | \(\bar{x}\) | Probability | \(\bar{x}\) | Probability | |-------------|--------------|-------------|--------------| | 33 | ☐ | 24 | ☐ | | 32.5 | ☐ | 23.5 | ☐ | | 32 | ☐ | 23 | ☐ | | 28 | ☐ | 19 | ☐ | | 27.5 | ☐ | 15 | ☐ | (Type integers or fractions.) #### Instructions: Enter your answer in the edit fields and then click Check Answer. --- - Remaining parts: **2 parts remaining** ##### Buttons: - Previous/Next - Clear All - Check Answer --- #### Additional Notes: This is part of an interactive exercise meant to teach the concept of sampling distributions. Students are expected to calculate the sample means and their probabilities accurately to complete the table provided.
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