Question

You sample 20 pairs of teenage fraternal twins for average total cholesterol. We wish to test...

You sample 20 pairs of teenage fraternal twins for average total cholesterol. We wish to test the hypothesis that girls’ total cholesterol is higher than that of boys’.

Why might you want to sample twins, versus randomly selected unrelated boys and girls?

You sample 20 pairs of teenage fraternal twins for average total cholesterol. We wish to test the hypothesis that girls’ total cholesterol is higher than that of boys’.

Which of these outputs is most applicable for completing the hypothesis test?

A.

       Two Sample t-test

data: chol.bg$girls and chol.bg$boys
t = 1.8988, df = 38, p-value = 0.0326
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
1.600421      Inf
sample estimates:
mean of x mean of y
195.5603 181.2844

B.

None of the above

C.

       Paired t-test

data: chol.bg$girls and chol.bg$boys
t = 2.1277, df = 19, p-value = 0.02334
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
2.674457      Inf
sample estimates:
mean of the differences
14.275

D.

       Welch Two Sample t-test

data: chol.bg$girls and chol.bg$boys
t = 1.8988, df = 30.509, p-value = 0.03354
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
1.522194      Inf
sample estimates:
mean of x mean of y
195.5603 181.2844

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Answer #1

We would like to sample twins because this will gives us the correct idea of difference as the twins are more or less treated equally. Thus we will be using the paired t-test here. Hence the correct answer is: option (C)

Paired t-test

data: chol.bg$girls and chol.bg$boys
t = 2.1277, df = 19, p-value = 0.02334
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
2.674457      Inf
sample estimates:
mean of the differences
14.275

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