A grocery store separates its shrimp into 3 categories: baby, medium, and jumbo. Use the information...

A grocery store separates its shrimp into 3 categories: baby, medium, and jumbo. Use the information provided below to determine the weights of the shrimp receiving each size designation.

Shrimp weights are normally distributed with:
mean=18.8 grams
standard deviation= 5.3 grams

The smallest 20% of shrimp will be designated as baby. The largest 25% of shrimp will be designated as jumbo. Everything else will be designated as medium.

Shrimp weighing less than _ grams will be designated as baby.

Shrimp weighing more than _ grams will be designated as jumbo.

Solutions

Expert Solution

mean=18.8 grams
standard deviation= 5.3 grams

The smallest 20% of shrimp will be designated as a baby. The largest 25% of shrimp will be designated as jumbo. Everything else will be designated as a medium.

Shrimp weighing less than ____grams will be designated as the baby?

P(z<z1)=0.2

Using standard normal table we get

Shrimp weighing less than 14.34 grams will be designated as the baby.

Shrimp weighing more than _ grams will be designated as jumbo.

P(z>z1)=0.25

Using standard normal table we get

Shrimp weighing more than 22.375 grams will be designated as jumbo.

orchestra answered 1 year ago

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