The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20. Using the Empirical rule, about 95% of the monthly food expenditures are between what two amounts?

A. $205 and $220

B. $85 and $105

C. $100 and $200

D. $110 and $190

Question

Mathematics

Alfonso Noble

4 July, 02:53

The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20. Using the Empirical rule, about 95% of the monthly food expenditures are between what two amounts?

A. $205 and $220

B. $85 and $105

C. $100 and $200

D. $110 and $190

+1

Answers (1)

Know the Answer?

Romeo Fitzpatrick · Answer 1

correct answer comes out to be option D

Step-by-step explanation:

sample mean (μ) = $150

standard deviation (σ) = $20

for about 95% of monthly food expenditure are between

= μ - 2 σ, μ + 2 σ

= $150 - 2 * $20, $150 + 2 * $20

= $110, $ 190

so, the range comes out to be in between $110 and $ 190.

Hence, the correct answer comes out to be option D.