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Difference of two sample means


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Example of difference of two sample means&: The z&-test


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Two independent random samples were taken, one from each of two normally distributed populations both of which may be assumed to have the same variance, =16. If the first sample had size 8 and mean 4 and the second have size 24 and mean 5, test the null hypothesis [Equation goes here &- download the original to see it.] against the alternative hypothesis [Equation goes here &- download the original to see it.] at the 1% significance level, where [Equation goes here &- download the original to see it.] are the means of the respective populations. [Equation goes here &- download the original to see it.] [Equation goes here &- download the original to see it.] [Equation goes here &- download the original to see it.]
Contents of
Difference of two sample means

1 Difference of two sample means&: The z&-test
2 Example of difference of two sample means&: The z&-test
3 The t&-test for unrelated data

Related articles: (1) Determination of a confidence interval for a mean with known variance, (2) Difference of two sample means