The percentage X of a particular compound contained in a rocket fuel follows thedistribution N (33, 3), though the specification for X is that it should lie between30 and 35. The manufacturer will get a net profit (per unit of the fuel) of Rs. 100.if 30

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Answered: The percentage X of a particular…

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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A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students. If it is assumed that the ratio with which the virus spreads is proportional to the product of the number x of infected students by the number of uninfected students, determine the number of infected students after 6 days if it is also observed that after four days there are 50 sick students. Suppose also that no one leaves campus while the illness lasts
A tank contains 500 gallons of water with 100 gallons of pollution dissolved in it. Polluted water containing 2 lb of sludge per gallon enters the tank at a rate of 4 gallons/hour. The solution is thoroughly mixed and drains from the tank at a rate of 5 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch the graph of the concentration over time (you are welcome to use a graphing calculator), clearly showing the valid domain for your solution.
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:x5.756.257.258.259.25y2218786795What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line?
The height of an object t seconds after it is dropped from a height of 140 meters is s(t) = -4.9t² + 140. (a) Find the average velocity of the object during the first 5 seconds. m/s (b) Use the Mean Value Theorem to verify that at some time during the first 5 seconds of fall, the instantaneous velocity equals the average velocity. Find that time. S
Suppose a system is made up of two components that function independently. The components are connected in parallel. One of the components lifetime in days can be expressed by an exponential distribution with A = 0.1. The second component has a lifetime that can be expressed as a lognormal distribution with u = 2.3 and o = 0.1. What is the reliability of the system at 11 days? .5579 .9454 .4421 .0545

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The percentage X of a particular compound contained in a rocket fuel follows the distribution N (33, 3), though the specification for X is that it should lie between 30 and 35. The manufacturer will get a net profit (per unit of the fuel) of Rs. 100. if 30