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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
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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Solve the following: 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:
Transcribed Image Text:Solve the following: 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:
4. At a large manufacturing company the mean age of workers is 38 years, and the standard deviation is 6.2. Assuming the variable is normally distributed. If a random of 44 workers is selected, find the probability that the mean age of the workers in the sample is between 36 and 40 years. Solution: 5. The dean of the business school claims that the average monthly income of his school's Bachelor of Science in Business Administration graduates two years after graduation is P 24,700. If the dean's claim is correct, and if the distribution of monthly income has a standard deviation of P 4,100, what is the probability that 49 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 normally distributed with a mean of 54 hours and a standard deviation of 5 hours. What is the probability that 30 randomly selected sales manager works for a. More than 55 hours per week? b. Between the 52 and 55 hours per week? Solutions:
Transcribed Image Text:4. At a large manufacturing company the mean age of workers is 38 years, and the standard deviation is 6.2. Assuming the variable is normally distributed. If a random of 44 workers is selected, find the probability that the mean age of the workers in the sample is between 36 and 40 years. Solution: 5. The dean of the business school claims that the average monthly income of his school's Bachelor of Science in Business Administration graduates two years after graduation is P 24,700. If the dean's claim is correct, and if the distribution of monthly income has a standard deviation of P 4,100, what is the probability that 49 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 normally distributed with a mean of 54 hours and a standard deviation of 5 hours. What is the probability that 30 randomly selected sales manager works for a. More than 55 hours per week? b. Between the 52 and 55 hours per week? Solutions:
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