1. The number of widgets produced each hour is normally distributed with a standard deviation of 7.4. For a random sample of 15 hours, the average number of widgets produced was 587.3. Find the upper and lower confidence limits of a 98% confidence interval for the population mean number of widgets produced in an hour.
2. A 95% confidence interval estimate for a population mean is determined to be 63 to 70. If the confidence level is reduced to 92.5%, the confidence interval forbecomes narrower. Is this statement true or false?