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Problem 3

 

9.2 Z-Test to Compare Two Population Means: Independent Samples

A researcher theorized that average heights of boys and girls of the same age prior to undergoing puberty should be the same.  Fifty-eight randomly selected boys of age 8 had an average height of 123.5 cm with a variance of 98cm.  Fifty-five randomly selected girls had an average height of 126.1 cm with a variance of 119cm.  Use a 1% significance level and the p-value method to test the claim that there is no difference between the average heights of boys and girls at age eight.

 

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