# Calculating probabilities for normally distributed data

plastic bags used for packing are manufactured so that the breaking strength

of the bag is distributed by N(5pounds, 2.2 pounds), if a sample of 25 bags is selected.

1. what is the chance that the sample mean of breaking 3 pound strength is larger than 5.3 pounds

2. what is the chance that the breaking strength is larger than 6.0 pounds.

3. between what two values symmetrically distributed around the mean will 95% of the sample mean of breaking strength fall?

4. between what two values symmetrically distributed around the mean will 95% of the breaking strength fall?

5. what is the sample size for finding a population if confidence is 99% and the sampling error is +/- 0.04

https://brainmass.com/statistics/confidence-interval/calculating-probabilities-normally-distributed-data-546552

#### Solution Preview

1. what is the chance that the sample mean of breakin3 pound strength is larger than 5.3 pounds

2. what is the chance that the ...

#### Solution Summary

The solution gives detailed steps on calculating probabilities for normally distributed data. All the formula and calcuations are shown and explained.