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>2. Nonstandard dice can produce interesting >distributions of outcomes. You have two balanced, > >six-sided dice. One is a standard dice, with faces >having 1,2,3,4,5 and 6 spots. The other die > >has three faces with 0 spots and three faces with 6 >spots. Find the probability distribution > >for the total number of spots Y on the up-faces when >you roll these two dice. > >3. What is a chi-square test? How do you find the >degrees of freedom in a chi-square > >distribution? Discuss chi-square test as a test for >goodness of fit and as a test of independence. > >4. A study of iron deficiency among infants compared >samples of infants following different > >feeding regimens. One group contained breast-fed >infants, while the children in other group > >were fed a standard baby formula without any iron >supplements. Here are summary results > >on blood hemoglobin levels at 12 months of age. > >Group n Mean s > >Breast-fed 23 13.3 1.7 > >Formula 19 12.4 1.8 > >a. Is there significant evidence that the mean >hemoglobin level is higher among breastfed > >babies? State null hypothesis and alternate hypothesis >and conduct a t-test. > >b. Give a 95% confidence interval for the mean >difference in hemoglobin level between > >the two populations of infants. > >5. What do you mean by a seasonal index? Explain ratio >to link relatives method of measuring > >seasonal variations.

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