Find confidence intervals using the following information:

1. A random sample of size of n =27 is taken from a population assumed to be normally distributed, and x = 9.02 and = 2.6. Calculate a 99% confidence interval for

2.The weight of a product is measured in pounds. A sample of 45 units is taken from a batch. The sample yielded x= 175 lbs. and = 10.1 lbs. Calculate a 95% confidence interval for

3. What is a 95% confidence interval for when n= 36, x= 83.6, and =23.0?