Average box of crackers is 24.5 ounces with standard deviation of. 8 ounce. What percent of the boxes weigh more than 22.9 ounces? What percent weigh less than 23.7 ounces?

97.7% of of the boxes weigh more than 22.9 ounces.

15.9% of of the boxes weigh less than 23.7 ounces.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  24.5 ounces

Standard Deviation, σ = 0.8 ounce

We are given that the distribution of boxes weight is a bell shaped distribution that is a normal distribution.

Formula:

a) P(boxes weigh more than 22.9 ounces)

P(x > 22.9)

Calculation the value from standard normal z table, we have,  

97.7% of of the boxes weigh more than 22.9 ounces.

b) P(boxes weigh less than 23.7 ounces)

P(x < 23.7)

Calculation the value from standard normal z table, we have,  

15.9% of of the boxes weigh less than 23.7 ounces.