Solve the following:1. The average price of the kilogram of ham is P1,200. Assume that the standarddeviation is P140. If a random sample of 30 one-kilogram package is selected,find the probability that the mean sample will be less than P1,170.Solution:2. The average elementary teacher's salary in Recoletors Schools is P17,300.Assume a normal distribution with standard deviation of P 2530. What is theprobability that the mean for a sample of 36 teachers' salaries is lesser than P16,500?Solution:3. The average score of employees on mental examinations is 110. Suppose thatnothing is known about the shape of the distribution and that the standarddeviation is 28. If a random sample of 90 scores were selected and the samplemean were calculated to be 102, what is the probability that the mean of thesample is greater than 102?Solution: 4. At a large manufacturing company the mean age of workers is 38 years, and thestandard deviation is 6.2. Assuming the variable is normally distributed. If arandom of 44 workers is selected, find the probability that the mean age of theworkers in the sample is between 36 and 40 years.Solution:5. The dean of the business school claims that the average monthly income of hisschool's Bachelor of Science in Business Administration graduates two years aftergraduation is P 24,700. If the dean's claim is correct, and if the distribution ofmonthly income has a standard deviation of P 4,100, what is the probability that49 randomly selected graduates have an average income of greater than P 23,300?Solution:6. The amount of time that sales managers devote to their jobs per week is normallydistributed with a mean of 54 hours and a standard deviation of 5 hours. What isthe probability that 30 randomly selected sales manager works fora. More than 55 hours per week?b. Between the 52 and 55 hours per week?Solutions:

Answered: Image /qna-images/answer/a98359ac-63a0-459d-9d27-0a7a958cd2df.jpg

1. The average price of the kilogram of ham is P1,200. Assume that the standard deviation is P140. If a random sample of 30 one-kilogram package is selected, find the probability that the mean sample will be less than P1,170. Solution: 2. The average elementary teacher's salary in Recoletors Schools is P17,300. Assume a normal distribution with standard deviation of P 2530. What is the probability that the mean for a sample of 36 teachers' salaries is lesser than P 16,500? Solution: 3. The average score of employees on mental examinations is 110. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 28. If a random sample of 90 scores were selected and the sample mean were calculated to be 102, what is the probability that the mean of the sample is greater than 102? Solution:

1. The average price of the kilogram of ham is P1,200. Assume that the standard deviation is P140. If a random sample of 30 one-kilogram package is selected, find the probability that the mean sample will be less than P1,170. Solution: 2. The average elementary teacher's salary in Recoletors Schools is P17,300. Assume a normal distribution with standard deviation of P 2530. What is the probability that the mean for a sample of 36 teachers' salaries is lesser than P 16,500? Solution: 3. The average score of employees on mental examinations is 110. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 28. If a random sample of 90 scores were selected and the sample mean were calculated to be 102, what is the probability that the mean of the sample is greater than 102? Solution:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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