Asked by maddy 6 years ago

Q6

1. What is the area under the normal distribution curve to the left of z = 0.87?

2. What is the z-value to the right of the mean where 59.18% of the distribution lies to the left of it?

3. What z-value corresponds to the 18th percentile?

4. Using the standard normal distribution, what is P(-2.32 < z < 1)?

5. At a large department store, the average number of years of service was 13.5 with a standard deviation of 6.2 years. If an employee is picked at random, what is the probability that the employee has worked for the company between 8 and 20 years?

6. Using the standard normal distribution, what is P(z > 2.09)?

7. What is the z-value to the right of the mean where 8.05% of the distribution lies to the right of it?

8. The average hourly wage of workers at a fast food restaurant is \$5.85 with a standard deviation of \$0.35. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability the worker earns more than $6.50 an hour?

9. Using the standard normal distribution, what is P(1.8 < z < 2.39)?

10. In a given normal distribution, if the mean is 500 and 3.62% of the distribution lies to the right of 572, what is the standard deviation?

11. What is the area under the normal distribution curve to the right of z = 0.58?

12. What is the area under the normal distribution curve between z = -1.89 and z = 0?

13. What z-value corresponds to the 63rd percentile?

14. In a given normal distribution, the standard deviation is 14.4 and 8.27% of the distribution lies to the left of 60. What is the mean?

15. At Northwest Nursing School, the average score a student must make on an entrance exam is 142 points with a standard deviation of 16 points. If the nursing school can only accept the top 15% of the applicants, what is the cutoff score a nurse must make to be considered for this school?

16. Using the standard normal distribution, what is P(z < -0.35)?

17. What is the area under the normal distribution curve between z = -2.01 and z = -1.89?

18. The average weight of a box of cereal is 25.2 ounces with a standard deviation of 0.18 ounces. Quality control wants to make certain that the 10% heaviest boxes of cereal are not sent to stores to sell. What would be the cutoff weight for these cereal boxes?

19. A new hockey franchise is planning to begin league play in the 2004 season. They want to price their tickets in the middle 64% range. If the average price of a ticket is \$20 with a standard deviation of $3.50, what are the minimum and maximum prices that this franchise should charge?

20. The lengths of bolts produced at a factory are normally distributed with a mean of .75 inches and a standard deviation of .03 inches. What is the probability that a randomly selected bolt has a length of less than .82 inches?

MAT 157

maddy

Answered by lancer 6 years ago

**Excerpt from file: **Math Tutorial Q6 1. What is the area under the normal distribution curve to the left of z ? Answer: 2. What is the z-value to the right of the mean where % of the distribution lies to the left of it? Answer: z 3. What z-value corresponds to the 18th percentile? Answer: z 4. Using the standard

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