Compare Tables
Mean
Median
Mode
Range
Public University Private University
$75,000 $92,000
$80,000 $87,000
$82,000 $90,000
$45,000
$61,000
The table summarizes the data collected in a random survey about the annual salaries of 20 lawyers. Ten of the
lawyers graduated in 2016 from public universities, and the other 10 lawyers graduated the same year from private
universities. Based on the summary, which inference could be made?
A)All public university law graduates earn at least $82,000 annually.
B)The highest paid private university law graduate earns $92,000 annually.
C)The annual salaries of public university law graduates vary more than the
annual salaries of private university law graduates.
D)The average salary for a private university law graduate is higher than the
average salary for a public university law graduate.

the answer is 2/54

step-by-step explanation:

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.