A computer scientist is studying the tendency for computers running a certain operating system to run more slowly as the operating system ages. She measures the time (in seconds) for a certain application to load for nine computers one month after installation and for seven computers six months after installation. The results are:
One month after install: 84.3 53.2 127.3 201.3 174.2 246.2 149.4 156.4 103.3
Six months after install:207.4 233.1 215.9 235.1 225.6 244.4 245.3 .At 5% significance level, test whether computers, on average, run more slowly as the OS ages.

Question

A computer scientist is studying the tendency for computers running a certain operating system to run more slowly as the operating system ages.   She measures the  time (in seconds) for a certain  application to load for nine computers one month after installation and for seven computers six months after installation. The results are:
One month after install: 84.3     53.2    127.3   201.3  174.2 246.2 149.4 156.4 103.3
Six months after install:207.4   233.1    215.9    235.1 225.6 244.4  245.3 .At 5% significance level, test  whether computers, on average, run more slowly as the OS ages.