Veena is the owner of ‘Smoke and Bake” restaurant. On average, Veena makes $825 per week at her restaurant with a standard deviation the rest of the question is below

Question

Veena is the owner of ‘Smoke and Bake” restaurant. On average, Veena makes $825 per week at her restaurant with a standard deviation of $ 72.20. What percent of the time will the weekly sales be between $900 to $1000? Show all your work and include a sketch for the z-scores. 

Answer 1

Low limit of 900.00 Corresponding Z_L = (X - mean) ⁄σ = (900 - 825) ⁄ 72.20 = 1.03878

High limit of sale $1000.00 corresponding Z_H = (1000 - 825) ⁄ 72.20 = 2.4328

From normal distribution Z-table or graph percentage are 35.08% and 49.22% for respective values of Z

The difference is 14.14%