1. A genetic experiment with peapods resulted in one sample of offspring that consisted of 443 green peapods and 170 yellow peapods. Construct a 95% confidence interval to estimate the true percentage of yellow peapods.
2. A random sample of the birth weights of 186 babies has a mean of 3103 grams and a standard deviation of 700 grams. Construct a 98% confidence interval estimate of the mean birth weight for all such babies.
3. Salaries of 31 college professors who took a geology course in college have a mean of $58,000 and a standard deviation of $16,954. Construct a 90% confidence interval estimate of the population standard deviation of all such professors.