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A researcher is interested in determining what, if any factorsare causing people

ID: 2955359 • Letter: A

Question

A researcher is interested in determining what, if any factorsare causing people to grow larger in the United States. First hemust establish that people are in fact getting larger. He founddata from the years 1963 and 2002 and compared the height of 10year old boys. The sample from 1963 contained 22 data points andthe sample from 2002 contained 28 data points. The average heightof the boys in 1963 was 55.2 inches with a standard deviation of1.2 inches and the average height of the boys in 2002 was 55.7inches with a standard deviation of 1.3 inches. Is there enoughevidence to support that 10 year old boys are statistically tallerin 2002 than in 1963? Formulate the correct hypothesis and use theappropriate statistical test to draw your conclusions. Use an alphavalue of 0.05.

Explanation / Answer

1963: n1=22, xbar1=55.2, s1=1.2 2002: n2=28, xbar2=55.7, s2=1.3 The test hypothesis is Ho:1-2>=0 Ha:1-2
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