Let's say we have two groups, group 1 = a sample of athletes & group 2 = a sample of non-athletes, who are asked about the number of hours they exercise per day. Group 1 had a mean of₁ = 4.5 and Group 2 had a mean of₂ = 1.7. Sample size for each group was N₁ = 9 and N₂ = 9. Standard deviations for group 1 and group 2 are s₁ = .9 and s₂ = 1.3. We want to know if the sample means differ from one another and decide to do independent-samples t test. Please compute the observed t statistic by hand. Report the t statistic using three decimal places.