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 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 5 Are the sample sizes large enough to apply the Central Limit Theorem? No Yes 200

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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 X₁-X₂
5
Are the sample sizes large enough to apply the Central Limit Theorem?
No
Yes
-
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 X₁-X₂ 5 Are the sample sizes large enough to apply the Central Limit Theorem? No Yes -
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