The Department of Labor would like to test the hypothesis that the average hourly wage for recent college graduates is less than $18. A random sample of 23 recent college graduates averaged $21.30 per hour with a standard deviation of $8.20 per hour. The Department of Labor would like to set 0.30 significance level. (a) Formulate the null and the alternative hypothesis. (b) Compute the test statistics. (c) Compute the P-value. (d) Determine the conclusion. (e) Construct the confidence interval for the population mean with a confidence level of 95%. Does it support your conclusion at (d)