Construct a 95% confidence interval for the effect of smoking on birth weight using heteroskedasticity-robust standard errors. The 95% confidence interval for the effect of smoking on birth weight is [ grams. (Round your response to three decimal places)In this exercise you will investigate the relationship between birth weight and smoking during pregnancy. The following table contains data for a random sample of babies born in Pennsylvania in 1989. The data includes the baby's birth weight together with various characteristics of the mother, including whether she smoked during her pregnancy. Download the data from the table by clicking the download table icon D . A detailed description of the variables used in the data set is available here 0 . Use a statistical package of your choice to answer the following questions. What is the average value of Birthweight for all mothers in the sample? The average value of Birthweight for all mothers in the sample is 3204.15 grams. (Round your response to three decimal places) What is the average value of Birthweight for mothers who smoke? The average value of Birthweight for mothers who smoke is 3110.6 grams. (Round your response to three decimal places) What is the average value of Birthweight for mothers who do not smoke? The average value of Birthweight for mothers who do not smoke is 3344.475 grams. (Round your response to three decimal places) Use the data in the sample to estimate the difference in average birth weight for smoking and nonsmoking mothers. The difference in average birth weight for smoking and nonsmoking mothers is 233.875 grams. (Round your response to three decimal places) What is the standard error for the estimated difference? The standard error for the estimated difference is 116.57 grams. (Round your response to three decimal places) Construct a 95% condence interval for the difference in the average birth weight for smoking and nonsmoking mothers. The 95% condence interval for the difference in the average birth weight for smoking and nonsmoking mothers is [ 5.398 , 462.352 ] grams