As part of the National Health and Nutrition Examination Survey conducted by the

Question

As part of the National Health and Nutrition Examination Survey conducted by the Department of Health and Human Services, selfreported heights and measured heights (both in inches) were obtained for males aged 1216. Listed below are sample results. Is there sufficient evidence to support the claim that there is a difference between selfreported heights and measured heights of males aged 1216? Use a 0.05 significance level. Reported Height 68 71 63 70 71 60 65 64 54 63 66 72 Measured Height 67.9 69.9 64.9 68.3 70.3 60.6 64.5 67.0 55.6 74.2 65.0 70.8 Should the test statistic and critical value be x = ___ or z = ___?

b) what is test statistic?

c)what is criticla value?

d)what is conclusion?

Explanation / Answer

µ1 = 65.58; s1 = 5.28; n1 = 12;

µ2 = 66.58; s2 = 4.96; n2 = 12;

H0: ?1 = ?2
Ha: ?1 ? ?2

? = 0.05

SE = sqrt[ (s12/n1) + (s22/n2) ] = 2.093

DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] } ~ 19

t = [ (x1 - x2) ] / SE = -0.477

p-value = 0.6388

p-value > ?

Hence, we cannot reject the null hypothesis

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