The American Restaurant Association collected information on the number of meals eaten outside the home per week by young married couples. A survey of 100 couples showed the sample mean number of meals eaten outside the home was 3.45 meals per week, with a standard deviation of .75 meals per week. a) Construct a 99% confidence interval for the population mean. (6 points) b) How would the interval change if you lowered the confidence level from 99% to 95%? (3 points)