2. A random sample of 100 women taken by the General Social Survey showed that the mean number of children reported 1.85 with a standard deviation of 1.5. (a) What is the point estimate for the mean number of children? (b) Calculate the standard error for the mean number of children. (c) What is the multiplier for a 95% confidence interval of the mean number of chil- dren? (Show R code and output). (d) Construct a 95% confidence interval for the mean number of children. (e) Interpret your confidence interval in context of this situation