An academic advisor claims that, on average, physical therapists earn at least $7000 more each year than registered nurses. To investigate the claim, the advisor constructs a paired data set, choosing 40 physical therapists (in varying locations and with varying years of experience) and 40 registered nurses (pairing the individuals with similar locations and years of experience). The mean difference (physical therapist salary – registered nurse salary) for the sample was $7069.37 with standard deviation $1763.90. Test the claim using a significance level of \\\\alpha = 0.1.