Write the Stata code to test the hypothesis that the mean weight of the newborn babies is the same in both the districts

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Draw the following sample which mimics the weight (pounds) of newborn babies in two districts, A and B of India. The first 54 observations are from district A and the last 46 observation is from district B. The observation for district A is drawn from a uniform distribution with a variance of 5.2 and a mean of 70. The observation of district B is drawn from a chi-square distribution with a variance of 8 and a mean of 60.

a) Write the Stata code to test the hypothesis that the mean weight of the newborn babies is the same in both the districts (without using the test command of Stata) against the alternative that the mean weight of district A is more than district B.

b) Calculate the 𝑝 − 𝑣𝑎𝑙𝑢𝑒.

c) Draw the power curve if the difference in the mean weight for district A and district B where the difference of the average weight in district A and B varies from 5 to unit to 16 with increments of 0.5 units.

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