Exercise 11In each problem, ünderline the population standard deviation/sample standard deviation and circle the number of samples.1. A sample of 160 people has a mean age of 27 with a population standard deviation (o) of 5. Test the hypothesis that the populationmean is 26.7 at a=0.05.2. An electric lamps manufacturer is testing a new production method that will be considered acceptable if the lamps produced by thismethod result in a normal population with an average life of 1,300 hours and a standard deviation equal to 120. A sample of 100 lampsproduced by this method has an average life of 1,250 hours.3. The cholesterol levels in a certain population have mean of 210 and standard deviation 21. The cholesterol levels for a randomsample of 9 individuals are measured and the sample mean x is determined. What is the z-score for a sample mean x=180?4. Mabunga Elementary School has 1,000 students. The principal of the school thinks that the average IQ of students at Mabunga is atleast 110. To prove her point, she administers an !Q test to 20 randomly selected5. A new energy-efficient lawn mower engine was developed by a well-known inventor. He claims that the engine will run continuouslyfor 5 hours on a single gallon of regular gasoline. From his stock of 2,000 engines, the inventor selects a simple random sample of 50engines for testing. The engines run for an average of 295 minutes with a standard deviation of 20 minutes.

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Answered: Exercise 11 In each problem, underline…

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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Nora earned a score of 14 on Exam A that had a mean of 20 and a standard deviation of 4. She is about to take Exam B that has a mean of 200 and a standard deviation of 40. How well must Nora score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
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