Questions 1-3. Suppose that N = 100 measurements of a particular numerical outcome are collected and the 95% Confidence Interval for the corresponding population mean / is computed as (21, 29). 1. (5 points) Compute the 99% confidence interval for the population mean based on these same data. Report just the lower bound for the interval. (Numerical Response) 2. (5 points) Consider the following hypothesis test Ho: u = 20 vs. H1: / # 20. Which of the following statements is true based on the computed confidence intervals? a. We reject Ho at both a = 1% and a = 5%. b. We reject Ho at a = 1% but not a = 5%. c. We reject Ho at a = 5% but not a = 1%. d. We fail to reject Ho at both a = 1% and a = 5%. 3. (5 points) Compute the minimum sample size required to obtain a 99% confidence interval with the same margin of error as the original 95% confidence interval. You can assume the sample standard deviation remains constant. (Numerical Response)