Answer:
3003.
Step-by-step explanation:
This is the number of combinations of 5 books from 15 = 15C5
= 15! / 10! 5!
= 15*14*13*12*11 / 5*4*3*2*1
= 3*7*13*11
= 3003.
Given:
n = 48, the sample size
m = $25,000, th sample mean
σ = $3000, the maximum variance
The standard deviation is
s = √σ = √(3000) = 54.772
As a rule of thumb, the range is 4 times the standard deviation. Therefore the range is
R = 4*54.772 = 219.09
Half the range is
R/2 = 219.09/2 = 109.45
The required range is
(25000-109.45, 25000+109.45) = (24890.46, 25109.54)
Answer: ($24,890.46, $25,109.54)