Sampling distribution Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028. If a simple random sample of 47 blue cars sold at used car auctions s selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate describe completely the sampling distribution of X₁-X₂
Sampling distribution Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028. If a simple random sample of 47 blue cars sold at used car auctions s selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate describe completely the sampling distribution of X₁-X₂
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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![### Sampling Distribution
Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally, suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028.
If a simple random sample of 47 blue cars sold at used car auctions is selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate, describe completely the **sampling distribution of X̄₁ − X̄₂**.
![Equation diagram](attachment://equation-diagram.png)
Here, the diagram depicts the formula for the standard error of the mean difference:
\[ s_d / \sqrt{n} \]
This statistical value is crucial for understanding the variability in the difference in sample means for blue and red cars.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83ec917b-3e82-4dc1-b5e7-24fa4bff0896%2Fc1b78963-eb7c-4e8e-8a9c-933ebc05cfc7%2Fm2g59_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sampling Distribution
Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally, suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028.
If a simple random sample of 47 blue cars sold at used car auctions is selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate, describe completely the **sampling distribution of X̄₁ − X̄₂**.
![Equation diagram](attachment://equation-diagram.png)
Here, the diagram depicts the formula for the standard error of the mean difference:
\[ s_d / \sqrt{n} \]
This statistical value is crucial for understanding the variability in the difference in sample means for blue and red cars.
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