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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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What is p value
Suppose that scores of the entrance exam of MPI are normally distributed with mean 500 and standard deviation 100. A class of 25 candidates, was invigilated by me last weekend for the entrance exam of MPI 2021. Suppose that candidates in my class are randomly assigned, find the probability that the average score of that class will be no more than 535. *(no use EXCEL)
uppose that a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people.Consider a population of drug rehabilitation patients for which 13% of the population is actually infected with HIV.\ Calculate the PPV
historically , a certain region has experienced 65 thunder days annually. A "thunder day" is a day on which at least one instance of thunder is audible to a normal human ear. over the past eleven years, the mean number of thunder days is less than 65. use α = 0.01 level of significance. A) there is not enough information to draw a conclusion B), yes. the number of thunder days appears to be less than 65 C). No. there is insufficient evidence to conclude that the number of thunder days is less than 65
The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 12. Suppose that 47 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. d)for the 47 tires tested, find the probability that the average miles (in thousands)before need of replacement is between 68.1 and 70.1 E)NFor part d), is the assumption that the distribution is normal necessary? No OR Yes
Let x be a random variable that represents the concentration of iron in water. The EPA specifies that x has a normal distribution with o = 0.7. The company claims that the iron concentration population mean is u = 2.0 downstream from the plant. But 10 samples taken downstream from an industrial | plant show an X = 2.48. а. Does this sample indicate a µ higher than that the company claims? (a = 1%) %3D b. Find a 95% confidence interval for u generated from the sample data.
A recent survey of the NHL found that the number of goals scored in Hockey *BY A PLAYER* in an 82 game season is Normally distributed, with a mean of 42 goals, and a standard deviation of 8. You're playing Fantasy Hockey, and your Commish randomly allocates each team with 23 randomly selected players. What is the probability that your *TEAM* scores between 40 and 44 goals per player?
In a sample of 800 gas stations the mean price for a regular gasoline at the pump was 2.816 per gallon on the standard deviation of 0.009 per gallon a random sample size 50 is drawn from this population what is the probability that the mean price per gallon is less than 2.814?
The number of customers served at a busy restaurant on Wednesdays follows a Normal distribution with mean 4,369 and standard deviation 252. Suppose we select a simple random sample of 36 Wednesdays and use it to compute \overline{x}x, the average number of customers served on each of these Wednesdays. What is the probability that the average number of customers served on on these 36 Wednesday exceeds 4,423? please show work!!
The lengths of human pregnancies have mean 266 days and standarddeviation 16 days. Suppose that a sample of 100 pregnancies israndomly selected and the mean length (x-bar) is computed. What is the probability that the mean length of 100 pregnanciesis 270 days or greater? Include a sketch of thedistribution, show the middle value and the boundary value,with appropriate shading. Show all work
The number of customers served at a busy restaurant on Thursdays follows a Normal distribution with mean 6,352 and standard deviation 254. Suppose we select a simple random sample of 36 Thursdays and use it to compute \overline{x} , the average number of customers served on each of these Thursdays. What is the probability that the number of customers served on a random Thursday exceeds 6,501?
) A brand of cars has a normal distribution for the lifetime of lasting time of cars. The average lifetime is 16 years with a standard deviation of 2 years. If you bought one such car today, what is the chance that your car will only last for up to 14 years? If your friend had a car of this brand for 14 years already, what is the chance that he (she) has to buy a new car in seven years? If a company bought 7 such cars, what is the probability that exactly two of them will last between 12 and 20 years? If the manufacturer want to offer a warrantee that is as attractive as possible and at the same time they don’t want to refund more than 0.5% of customers, how long the warranty should be?

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