Question

1. A company pays its employees an average wage of $3.25/hour with a standard deviation of $0.60. If the wages are approximately normally distributed, determine:               [5x4=20pts] …graph a normal curve in all 4 parts.

1. The probability that randomly chosen worker has the hourly wage less than $3.

2. the proportion of the workers getting wages between $2.75 and $3.69 an hour

3. the minimum wage of the highest 8% of all workers.

4. The probability that if we randomly select a sample of 40 workers, its mean hourly wage will be at least $3.30.

5. The probability that if we randomly select a sample of 55 workers, its mean hourly wage will be below $3.10.

Answer 1