The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners earn $18,000 or more. Which sentence most closely summarizes this information?

Select one of the options below as your answer:

A.68% of the wage earners earn less than $14,000 each.
B.16% of the wage earners earn less than $14,000 each.
C.55% of the wage earners earn less than $14,000 each.
D.84% of the wage earners earn less than $14,000 each.
E. 95% of the wage earners earn less than $14,000 each.

Question

The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners earn $18,000 or more. Which sentence most closely summarizes this information?

Select one of the options below as your answer:

A.68% of the wage earners earn less than $14,000 each. 
B.16% of the wage earners earn less than $14,000 each.
C.55% of the wage earners earn less than $14,000 each.
D.84% of the wage earners earn less than $14,000 each.
E. 95% of the wage earners earn less than $14,000 each.

anonymous · Answer

are you sure

amistre64 · Answer

2.5 seems reminiscent of the empirical rule

amistre64 · Answer

2.5 + 2.5 = 5,  which correlates to the 95% fall withn 2 sds of the mean

anonymous · Answer

so E?

amistre64 · Answer

no, im working thru an idea ....

18 - 10 = 8,000  referes to 2 sds,  4000 (or 14000) relates to 1 sd

anonymous · Answer

im soo confused lol

amistre64 · Answer

since the rule gives us that 68% of the data falls within 1 sd;  and also since the mean splits the data 50-50  we have this setup:|dw:1372859834124:dw|