z-score | MathCelebrity Forum

# z-score

1. ### A fuel injection system is designed to last 18 years, with a standard deviation of 1.4 years. What i

A fuel injection system is designed to last 18 years, with a standard deviation of 1.4 years. What is the probability that a fuel injection system will last less than 15 years? Using our z-score calculator, we see that: P(X < 15) = 0.416834
2. ### For a population with μ = 60 and σ = 12, what is the z-score that corresponds to a score of 66?

For a population with μ = 60 and σ = 12, what is the z-score that corresponds to a score of 66? Using our z-score calculator, we get a probability: 0.691462
3. ### The weight of a 9.5-inch by 6-inch paperback book published by Leaden Publications, Inc., is 16.2 oz

The weight of a 9.5-inch by 6-inch paperback book published by Leaden Publications, Inc., is 16.2 oz. The standard deviation is 2.9 oz. What is the probability that the average weight of a sample of 33 such books is less than 15.89 oz? Using our z-score calculator, we get: 0.271
4. ### A financial analyst computed the ROI for all companies listed on the NYSE. She found that the mean o

A financial analyst computed the ROI for all companies listed on the NYSE. She found that the mean of this distribution was 10% with standard deviation of 5%. She is interested in examining further those companies whose ROI is between 14% and 16% of the approximately 1,500 companies listed on...
5. ### The hourly wages of employees at Rowan have a mean wage rate of \$10 per hour with a standard deviati

The hourly wages of employees at Rowan have a mean wage rate of \$10 per hour with a standard deviation of \$1.20. What is the probability the mean hourly wage of a random sample of 36 employees will be larger than \$10.50? Assume the company has a total of 1,000 employees Using our normal...
6. ### A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. Wha

A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years? Using our Z-score and Normal distribution calculator, we get: 0.10565