An interested citizen wanted to know if Democratic U. S. senators are older than Republican U.S. senators, on average. On May XXXXXXXXXX, the mean age of 30 randomly selected Republican Senators was...

An interested citizen wanted to know if Democratic U. S. senators are older than Republican U.S. senators, on average. On May 26 2013, the mean age of 30 randomly selected Republican Senators was 61 years 247 days old (61.675 years) with a standard deviation of 10.17 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days old (61.704 years) with a standard deviation of 9.55 years.
Do the data indicate that Democratic senators are older than Republican
senators, on average? Test at a 5% level of significance. Show your work.