3.Not all people living in the area surrounding Silicon Valley work in tech positions.

a.An economist wants to test if the average hourly wage is less than $22 for these positions. They consider a group of 50 individuals, with a sample mean of $20.21, and a sample standard deviation of $6.47.

At a 5% significance level, conduct a hypothesis test to test the economist's claim that the average hourly wage is less than $22. Show or explain your thinking.