You have data on the quality scores of 25 hospitals in the state of Florida. The possible scores that hospitals can have are from 1 to 5, with 1...

You have data on the quality scores of 25 hospitals in the state of Florida. The possible scores that hospitals can have are from 1 to 5, with 1 being the lowest and 5 the highest. The data show the following scores: 1.5, 1.8, 1.9, 2, 2.3, 2.5, 2.7, 2.8, 3.1, 3.2, 3.6, 3.8, 3.9, 3.9, 4, 4.1, 4.2, 4.2, 4.4, 4.5, 4.5, 4.6, 4.9, 4.9, 4.9. What is the Z score of 4.4 if we know that the national average quality score is 3.2 and the population standard deviation is 1.07?