Martin will be renovating her store, Avenew. He is concerned that his business is growingtoo fast, and that his facility needs to catch up with customer needs.Using the data that she collected from all his previous customer, he was able to concludethat the weight of rectangular tables is normally distributed with a mean of 28 kg and avariance of 11 kg?. The weight of circular tables, on the other hand, follow a uniformdistribution with bounds of 16 kg and 24 kg. He was also able to conclude that the weightof the square table customers is normally distributed with a mean of 23 kg and a varianceof 18 kg?.a. What is the probability that a random circular table weighs within 2 kg of theaverage square table?b. What is the probability that a random rectangular table weighs more than theaverage circular table?c. What is the probability that a random square table weighs more than the averagecircular table but less than the weight where 50% of all rectangular tables fall?d. Tables are sent to the deluxe room if they weigh less than 20 kg, to the premiumroom if they weigh more than 20 kg but less than 25 kg, and to the executive loungeif they weigh more than 25 kg. If, on average, Avenew receives 10 rectangulartables, 12 circular tables and 8 square tables daily, and there is a one table perroom policy, how many rooms of each type should Martin prepare to ensure thatall tables have a room at any given day?

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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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An empirical researcher reports the following for a particular stock: “In ourdata sample we find that the variance of (de-trended) ex post stock prices is128 whereas the variance of (de-trended) actual stock prices is 110.” Whatmay this tell us? Are there any potential problems with what it may tell us?
Suppose the number of off springs a female eagle raises during its lifetime has a distribution with mean 15 and variance 4. In an area, 45 rescued and cured female eagles are set free. If these eagles are assumed to be independent (no lack of male partners and food resources), the total number of off-springs produced by these eagles can be assumed to have a Normal distribution with mean and variance
A researcher conducts a standard multiple regression analysis to predict alcohol addiction as a function of the following predictors: loneliness (sr squared = .04), employment status (sr squared = .16), and self-efficacy (sr squared = .25). If there is no shared variance, the partial correlation squared for self-efficacy would be: a. .556 (i.e., .25 / .45) b. .50 (i.e., squareroot(.25)). c. .454 (i.e., .25 / .55) d. .313 (i.e., .25 / .80)
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A snow shovel manufacturer is considering a new shovel with small holes punched in it, thought to reduce energy expenditure of the user. The data in the Problem 4 tab provides information for 13 workers using both the conventional shovel and the perforated shovel. Does the data suggest that the energy expenditure of the perforated shovel is lower than that of the conventional shovel? Does the data suggest that the variance of the two shovels is different?
A company is doing a hypothesis test on the variation in quality from two suppliers. Both distributions are normal, and the populations are independent. Use a = 0.05. A sample of 31 products were selected from Supplier 1 and a standard deviation of quality was found to be 3.77. A sample of 16 products were selected from Supplier 2 and a standard deviation of quality was found to be 3.5659. Test to see if the variance in quality for Supplier 1 is larger than Supplier 2. What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: 0.² H₁: 0.² Based on the hypotheses, compute the following: Round answers to at least 4 decimal places. The test statistic is = The p-value is = The decision is to [Fail to reject the null hypothesis The correct summary would be: There is not enough evidence to support the claim in quality for Supplier 1 is larger than Supplier 2. o that the variance
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