In an experiment to determine which of three different missile systems is preferable, the
propellant burning rates were measured. The data after coding is given below.
System I 24.0 ,16.7 ,22.8 ,19.8, 18.9
System II 23.2, 19.8 ,18.1, 17.6, 20.2, 17.8
System III 18.4, 19.1 ,17.3 ,17.3, 19.7 ,18.9, 18.8 , 19.3
Use the Kruskal-Wallis test and a significance level of a = 0.05 to test the hypothesis that
propellant burning rates are the same for the three missiles.

A small accounting firm pays each of its five clerks Rs 25000, two junior accountants Rs
60000, and the firm’s owner Rs 255000. What is the mean salary paid at this firm? How
Many of the employees earn less than the mean? What is the median salary?

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.

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.

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