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Answer:
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.