Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation of 0.07 g. A vending machine will only accept coins weighing between 5.47 g and 5.82 g.
a. What percentage of quarters weigh above 5.82 g? Answer =
b. What percentage of quarters weigh below 5.47 g? Answer =
c. What percentage of quarters weigh between 5.47 g and 5.82 g? Answer =
d. What percentage of legal quarters will be rejected? Answer =
e. Find the Q1 (Bottom 25%) and Q3 (Top 25%) for the weights of quarters. (Round off to two decimals).
Q1 =
Q3 =
f. Find IQR, LB, and UB (Round off to two decimals) and decide using the 1.5 factor if the weights 5.47 g and 5.82 g are outliers.
IQR =
LB =
UB =
Is 5.47 g an outlier?
Is 5.82 g an outlier?