In this item, we are to determine the number of the resin in terms of percentage that has a bonding time of either less than 2 hours or more than 6 hours.
To do so, we use the concept of z-score. Z-score is calculated through the equation,
z-score = (x - m) / s
where x is the data, m is the mean/average, and s is the standard deviation. Substituting the known values,
Less than 2 hours:
z-score = (2 - 4.5) / 1.5 = -5/3
This translates to the percentile of 4.78%.
More than 6 hours:
z-score = (6 - 4.5)/ 1.5 = 1
This translates to percentile of 84.13%. The percentage of more than 6 hours is equal to 100% - 84.13% which is equal to 15.87%.
The total percentage is equal to 4.78% and 15.87% which is equal to 24.65%.
