1.The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average age in the sample was 22.5 years with a sample standard deviation of 4.5 years. Please answer the following questions:

a.Construct a 95% confidence interval estimate for the mean of the consumers' age.

b.Suppose a sample of 41 was selected (with the same mean and the sample standard deviation). Construct a 90% confidence interval for the mean of the consumers' age.