5.25 Cleveland vs. Sacramento: Average income varies from one region of the country to another, and it often reflects both lifestyles and regional living expenses. Suppose a new graduate is considering a job in two locations, Cleveland, OH and Sacramento, CA, and he wants to see whether the average income in one of these cities is higher than the other. He would like to conduct a hypothesis test based on two small samples from the 2000 Census, but he first must consider whether the conditions are met to implement the test. Below are histograms for each city. Should he move forward with the hypothesis test? Explain your reasoning.
| Cleveland, OH | |
| Mean | $35,749 |
| SD | $39,421 |
| n | 21 |
| Sacramento, CA | |
| Mean | $35,500 |
| SD | $41,512 |
| n | 17 |