Question

3. Random samples of 6 newborn baby boys and 8 newborn baby girls aretaken and their weights aremeasured. The data are summarized as below: ̄x1= 6.83, ̄x2= 7.34,s1=0.84,s2= 0.75,n1= 6,n2= 8.The next three questions refer to the data given here.Use df=min(n1−1,n2−1), find a 95% confidence interval forμ1−μ2,themean weights between baby boys and baby girls. Your answer isa) (0.34, 1.36)b) (-1.62,0.60)c) (-2.51,1.49)d) (-1.36,0.34)

Answer 1

ANSWER::

Here  standard error of difference in population means = sqrt [s12/n1 + s22/n2] = sqrt [0.842 /6 + 0.752/8] = 0.4335

dF = min (5,7) = 5

tcritical  = TINV(0.05,5) = 2.5706

95% confidnece interval = (6.83 - 7.34) +- 2.5706 * 0.4335

= (-1.62, 0.60)

Option:: (B) is correct here.

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