Use the five-step hypothesis testing procedure for the problems below

Workers with a formal arrangement with their employer to be paid for time worked at home worked an average of 19 hours per week. A random sample of 15 mortgage brokers indicated that they worked a mean of 21.3 hours per week at home with a standard deviation of 6.5 hours.

1. At = 0.05, determine is there sufficient evidence to conclude a difference.
2. Construct a 95% confidence interval for the true mean number of paid working hours at home. Hence, compare the results of your confidence interval to the conclusion of your hypothesis test.