A random sample of 250 nurses is selected from all nurses working in West Virginia. Of the 250, 176 say that they're generally satisfied with their working conditions. The dollar amount that each nurse gave to charity in 2008 was also determined. The average and standard deviation of these amounts are respectively. The interquartile range is computed to be $210 and the 25th percentile is $356. The largest amount given is $705.
a) Give an estimate of the fraction of all nurses working in West Virginia that are satisfied with their working conditions.
b) According to Chebyshev's's Theorem what interval (in terms of dollars) contains at least 15/16 of the amounts.
c) Compute Q3, the upper (or third) quartile of the amounts.