Q. 1) Given a set of all normally distributed data (n = 20,000) with a mean of 685 and a standard deviation of 45, Calculate the Z-score and percentile for the following scores:

a) 620

b) 712

Q. 2) If we measured data from 5,000 children age 2 to 10 and found the mean number of hours spent playing outdoors per week to be 4.8 hours with a standard deviation of 0.5 hours, how many children spent between 4.8 and 5.5 hours outdoors per week? Show your work.