To test the twin weight hypothesis discussed in Question 1, the weights of 19 tw

Question

To test the twin weight hypothesis discussed in Question 1, the weights of 19 twins were collected and the ordering in birth. A snap shot of the data and the scatterplot of weight of the first borr against the second born is given below FirstBorn SecondBor Options 375 5.5625 SecondBorn 5.1875 .4375 .4375 4.3125 5.75 7.375 5.5625 5.875 4.6875 6.125 5.6875 4.375 5.25 3.5 4.8125 6.125 6.375 4.5 5.6875 5.8125 7.5625 5.5 5.8125 7.5625 4.43756 4.875 4.6875 7.5625 5.4375 4.9375 5.1875 .9375 5.125 4 6.625 4 .125- FirstBorn 5.3125 Based on how the data was collected and the plots what test should be done? (A)A matched t-test needs to be used because there is a clear matching in the between the twins. Furthermore, the scatterplot shows a clear dependence between the weights of twins. Thus backing the need to do a matched t-test. (A) and (C) since they are exactly the same. (C)An one-sample test on the differences in weights of the twins needs to be done (B)An independent sample t-test needs to done because there is no matching between the two data sets.

Explanation / Answer

Since we are taking the sample of twins so the two samples will be dependent on each other and hence, we will be using Matched t - test. However, if we look at the C option then one sample test on the differences would be the same as matched pair test.

Therefore,

Option B is correct i.e. (A) and (C) since they are exactly the same.

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