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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

Respuesta :

Answer:

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.