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A recent article in The Wall Street Journal compared the cost of adopting children from
Chapter 0, Problem 21(choose chapter or problem)
A recent article in The Wall Street Journal compared the cost of adopting children from China with that of Russia. For a sample of 16 adoptions from China, the mean cost was $11,045, with a standard deviation of $835. For a sample of 18 adoptions from Russia, the mean cost was $12,840, with a standard deviation of $1,545. Can we conclude the mean cost is larger for adopting children from Russia? Assume the two population standard deviations are not the same. Use the .05 significance level.
Questions & Answers
QUESTION:
A recent article in The Wall Street Journal compared the cost of adopting children from China with that of Russia. For a sample of 16 adoptions from China, the mean cost was $11,045, with a standard deviation of $835. For a sample of 18 adoptions from Russia, the mean cost was $12,840, with a standard deviation of $1,545. Can we conclude the mean cost is larger for adopting children from Russia? Assume the two population standard deviations are not the same. Use the .05 significance level.
ANSWER:Step 1 of 7
Given:
\(n_{1}=\) Sample size = 16
\(n_{2}=\) Sample size = 18
\(\bar{x}_{1}=\) Sample mean = 11045
\(\bar{x}_{2}=\) Sample mean = 12840
\(s_{1}=\) Sample standard deviation = 835
\(s_{2}=\) Sample standard deviation = 1545
\(\alpha=\) Significance level = 0.05