Jarrid Medical, Inc., is developing a compact kidney dialysis machine, but its chief engineer, Mike Crowe, is having trouble controlling the variability of the rate at which fluid moves through the device. Medical standards require that the hourly flow be 4 liters, plus or minus 0.1 liter, 80 percent of the time. Mr. Crowe, in testing the prototype, has found that 68 percent of the time, the hourly flow is within 0.08 liter of 4.02 liters. Does the prototype satisfy the medical standards?

Jarrid Medical, Inc., is developing a compact kidney dialysis machine, but its chief engineer, Mike Crowe, is having trouble controlling the variability of the rate at which fluid moves through the device. Medical standards require that the hourly flow be 4 liters, plus or minus 0.1 liter, 80 percent of the time. Mr. Crowe, in testing the prototype, has found that 68 percent of the time, the hourly flow is within 0.08 liter of 4.02 liters. Does the prototype satisfy the medical standards?

Name: Jarrid Medical, Inc., is developing a compactkidney dialysis machine,
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Description: Jarrid Medical, Inc., is developing a compactkidney dialysis machine, but its chief engineer,Mike Crowe, is having trouble controlling thevariability of the rate at which fluid moves throughthe device. Medical standards require that thehourly flow b

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter10: Exponential And Logarithmic Functions

Section10.2: Applications Of Exponential Functions

Problem 47PS

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Jarrid Medical, Inc., is developing a compact kidney dialysis machine, but its chief engineer,Mike Crowe, is having trouble controlling the variability of the rate at which fluid moves through the device. Medical standards require that the hourly flow be 4 liters, plus or minus0.1 liter, 80 percent of the time. Mr. Crowe, in testing the prototype, has found that 68percent of the time, the hourly flow is within 0.08 liter of 4.02 liters. Does the prototype satisfythe medical standards?
An editorial in the New York Times on Sunday June 4, 2011 dicussed the redesigned fuel economy stickers to be required on new cars starting in 2013. Consider a new idsize fuord fusion s model. At $4-a-gallon gas, annual fuel costs would be about $2,200 for 15,000 miles driven... And thats for a car with a rated mileage of 34.9m.p.g. actual highway mileage, as with all vehicles, is lower, in this case about 27m.p.g. Industry clearly needs to do better. Did the times use the rated or the actual mileage in its computation?
Suppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 1 unit?
Miss Piggy, trying to prove that she is not just a pretty face, urged all of the Muppets to apply to law school at Sock Puppet University. In preparation for their law school applications, each Muppet took the LSAT and received scores uniformly distributed from Animal’s score of 10 to Kermit the Frog’s score of 180. The total cost (in present value) of attending Sock Puppet University Law School is $136,000. The Muppets’ earnings are directly related to their performance on the LSAT, regardless of whether they go to law school. Those who do not go to law school will earn a present value of YNL = 100×LSAT, while those who do attend law school earn YL =1,000+1,000×LSAT. What is the average earnings of the Muppets who attend law school and the earnings of the Muppets who do not attend law school?
At Chairs and More, assemblers are apud according to the following differential piece rate scale 1-25 chairs in a week, $10 each; 26-40 chairs in a week $13 each; 40 up chairs in a week $17.50. Salina Grant assembled 47 chairs in one week. Find her gross pay.
The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portion of the hours worked. If the sum of squares Y is 1,513.32 and the sum of squares error is 176.22. What proportion of variation in labor hours is explained by the number of cubic feet moved? Hint: Provide answer accurate to 4 decimal places.
The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.24 and the slope is 0.03. What is the predicted number of labor hours for moving 484 cubic feet? Hint: Provide your answer accurate to 2 decimal places.
The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuingto decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independentvariable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.37 and the slope is 0.04. If the actual number of labor hours for moving 407 cubic feet is 33.47. What is the error of prediction? Hint: Provide answer accurate to 2 decimal places.
Suppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 2 units?
A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). (a) Calculate the expected profit if the firm follows this benchmark strategy, i.e., E(L)
A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). Now suppose the firm can also buy forward contracts on foreign currency to neutralize the effect of the exchange rate on profits. Assume that these provide complete hedging, but that it involves an additional cost, so that following the…