MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with amean of 76 and a standard deviation of 14. A simple random sample of 45 is taken from a population of 500.a. What is the expected value of the sampling distribution of x?b. What is the standard deviation, rounded to four decimal places, of the sampling distribution of x?c. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be between70 and 80?d. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be greaterthan 65?e. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be less than70?f. If the company wanted to know which people were in the top 15% of their employees, what would the cutoff scoreneed to be?

It is given that Mean, μ = 76 Standard deviation, σ = 14 Sample size, n = 45 Note: According to…

Answered: 14. A simple random sample of 45 is…

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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12. Scores on a standardized reading test for fourth grade students form a normal distribution with u= 60 and o=20. What's the probability of obtaining a sample mean greater than M= 65 for each of the following? A. A sample ofn=16 students? B. A sample ofn=25 students? C. A sample of n= 100 students?
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.3 ppm and standard deviation 1.6 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question Jump to Answer
17).
A. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is less than 6,900. (Round your answer to four decimal places.) B. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is one standard deviation below the mean of the sums. (Round your answer to two decimal places.) C. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is 1.4 standard deviations below the mean of the sums. (Round your answer to two decimal places.)
According to AC Lens, green eye color is one of the rarest with only 2% of the world's population having that eye color. A random sample of 1000 people from around the world are selected. Let p be the proportion of the sample which has green eyes. 1. What is the mean of the sampling proportion? 2. What is the standard deviation of the sampling proportion? (Round to the nearest thousandth.) 3. Find the probability that p will be between 0.01 and 0.03. P(0.01 < p < 0.03) = 4. What is the rule of thumb for normalizing the sampling distribution of proportions?
3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? ¤ - N( c. What is the probability that one randomly selected city's waterway will have more than 9.8 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is more than 9.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
1. A sample size of 36 is to be selected from a population that has a mean of u- 45 and standard deviation a of 10. a. Find the mean of the sampling distribution b. Find the standard error of the sampling distribution. c. What is the probability that this sample mean will be between 40 and 50?
1.a.A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 44 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.) b.A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 44 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
1. Assume that IQ are normally distributed with a mean of 100 and standard deviation of 15. For a sample of 25 adults, find the probability that their mean IQ score will be greater than 90?
4. The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 3 minutes. Find the probability that the time between taking the medication and getting relief is as follows. a. At least 30 minutes b. At most 20 minutes 5. All incoming freshmen at a major university are given a mathematics diagnosti exam. The scores are normally distributed with a mean of 120 and a standa deviation of 25. If a student scores less than a certain score, he or she will have undergo an intervention program. Find the cutoff score at which 64% of the stude would have to undergo the intervention program. 2021.04.10 09:47

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