The mean household income for a certain state is $69,000 with a standard deviation of $10,000. Assuming a normal distribution, about 95% of all households have an income over what amount?

A.$49,000

B. 52,551

C. 60,000

D. 85,449

E.$89,000

Question

Baron

Mathematics

3 November, 15:27

The mean household income for a certain state is $69,000 with a standard deviation of $10,000. Assuming a normal distribution, about 95% of all households have an income over what amount?

A.$49,000

B. 52,551

C. 60,000

D. 85,449

E.$89,000

+4

Answers (1)

Know the Answer?

Alejandra Raymond · Answer 1

B. 52,551

Step-by-step explanation:

Use a z-table to find the corresponding z-score.

P (z>Z) = 0.95

P (z
z = - 1.645

Now find the corresponding income:

z = (x - μ) / σ

-1.645 = (x - 69000) / 10000

x = 52550

The mean household income for a certain state is $69,000 with a standard deviation of $10,000. Assuming a normal distribution, about 95% of all households have an income over what amount?A.$49,000B. 52,551C. 60,000D. 85,449E.$89,000

The mean household income for a certain state is $69,000 with a standard deviation of $10,000. Assuming a normal distribution, about 95% of all households have an income over what amount?

A.$49,000

B. 52,551

C. 60,000

D. 85,449

E.$89,000