3. (5 points) This question is similar to Exercises 23 - 26 on page 413 - 414 of the textbook. In order to conduct a hypothesis test of the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 20.4 and 7.5, respectively. a. Construct the 95% confidence interval for the population mean. b. Use the critical value approach to test if the population mean is less than 25 at a = 0.05. c. Use Excel function =t.dist to find the p-value for part b and use the p-value approach to test if the population mean is less than 25 at a = 0.05. d. Use the critical value approach to test if the population mean is different from 25 at a = 0.05. e. Use Excel function =t.dist.2t to find the p-value for part d and use the p-value approach to test if the population mean is different from 25 at a = 0.05