A researcher would like to conduct a hypothesis test to determine if the mean age of faculty cars is less than the mean age of student cars. A random sample of 25 student cars had a sample mean age of 7 years with a sample variance of 20and a random sample of 32 faculty cars had a sample mean age of 5.8 years with a sample variances of 16. What is the value of the test statistic if the difference is taken as student faculty ? Round your final answer to two decimal places and do not round intermediate steps