Suppose an elevator can carry a maximum cumulative weight of 1500 kilograms. Suppose further that an individual has anaverage and standard deviation weight of 75 kilograms and 10 kilograms respectively, independent of others. If we want tohave at least a 95% chance that the elevator will not exceed its maximum carrying capacity, determine the maximum numberof people that we will allow to ride this elevator at the same time. Use the central limit theorem.

The Central Limit Theorem states that if you have a large enough sample size (in this case, the…

Answered: Suppose an elevator can carry a maximum…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A company manufactures products in its factory in Turkey for sale in Asia. Products sold in different countries differ in terms of the power outlet as well as the language of the manuals. Currently, the company assembles and packs products for sale in individual countries. The distribution of weekly demand in different countries is normally distributed with means and standard deviations as shown in the table Assume that demand in countries to be independent. Given that the lead time from the Turkey factory is (X/4) weeks, how much safety inventory does the company require in Asia if it targets a CSL level of 95 percent?X= 96 b. The company builds a distribution center in Asia. It will ship base products to this center. When an order is received, the center will assemble power supplies, add manuals, and ship the products to the appropriate country. The base products are still to be manufactured in Turkey with the same lead time. How much saving of safety inventory can the company expect…
What two values are needed to define any normal curve?
A prescription allergy medicine is supposed to contain an average of 245 parts per million (ppm) of active ingredient. The manufacturer periodically collects data to determine if the production process is working properly. A random sample of 64 pills has a mean of 250 ppm with a standard deviation of 12 ppm. Let u denotes the average amount of the active ingredient in pills of this allergy medicine. The null and alternative hypotheses are as Ho: μ = 245, Hau #245. The level of significance is 1%. The t-test statistic is 3.33 with a P-value of 0.0014. What is the correct conclusion? The mean amount of active ingredient in pills of this allergy medicine is greater than 245 ppm. The mean amount of active ingredient in pills of this allergy medicine is equal to 250 ppm. The mean amount of active ingredient in pills of this allergy medicine is equal to 245 ppm. moon amount of active ingredient in pills of this allergy medicine is not equal to 245 ppm.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. If 1.7% of the thermometers are rejected because they have readings that are too high and another 1.7% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings = ɔ.
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 53 hours. Suppose that a random sample of 50 bulbs of this brand has a mean of 495 hours. Find a 99% confidence interval for the true mean lifetime of all light bulbs of this brand. Then give the lower and upper limit. Carry intermediate computations to 3 decimal places, and answers to 1.
A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 178 lb and a standard deviation or 32 lb. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want a 0.995 probability that this maximum will not be exceeded when 18 males are randomly selected.maximum weight = -lb Round to the nearest pound.Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.956 g and a standard deviation of 0.302 g. The company that produces these cigarettes claims that it has now reduced the amount of…
Suppose the mean value for Rh is 1,106, the mean value for X,R, is 2,200, the standard deviation for Rh is 427.1 and the standard deviation for X,R, is 325.3. What then is the value for the standard deviation of the limit state function V (answer to 1 decimal place)?
The mean of 345 quantities is 5.9. Suppose one more value X346 is added to the data set, and the new mean is nonnegative(greater than or equal to 0). Find the minimum possible value of X346-
Show the complete solution
5. The average price of a new two story townhouse is P1,600,000, find the maximum and minimum prices of the townhouse that a contractor will build to include the middle 70% the market. Assume that the standard deviation of prices is P300,000 and the variable i normally distributed.
Cholesterol is a fatty substance that is an important part of the outer lining (membrane) of cells in the body of animals. Suppose that the mean and standard deviation for a population of individuals are 180 mg/dl and 20 mg/dl, respectively. Samples are obtained from 25 individuals, and these are independent. (a) What is the probability that the average of the 25 measurements exceeds 185 mg/dl? (b) Determine symmetric limits around 180 such that the probability that the sample average is within the limits equals 0.95.
(c) A factory produces two types of artificial lamp A and B. The mean durability of artificial lamp A is 850 hours and its standard deviation is 40 hours. While, mean durability of artificial lamp B is 820 hours and its standard deviation is 60 hours. Find the probbality of 35 artificial lamp A will have mean durabilirty at least 25 hours more than 45 artificial lamp B.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS