The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size ( 5 − 9 , 10 − 14 , 15 − 19 , 20 − 24 , and 25 − 29 ) , if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

Question

2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.

Answer 1

Question

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

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2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.

The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)

4. Solve the system of equations and express your solution using vectors. 2x1 +5x2+x3 + 3x4 = 9 -x2+x3 + x4 = 1 -x1-6x2+3x3 + 2x4 = -1

Answer 2

Question

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Expert Solution & Answer

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Answer 3

Question

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Expert Solution & Answer

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Answer 4

Question

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Expert Solution & Answer

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Answer 5

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Answer 6

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

Answer 7

Chapter 21.III, Problem 1RE

(a)

To determine

To calculate: The frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

Answer 8

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

Answer 9

(b)

To determine

To calculate: The mean of the grouped data with the help of 7, 12, 17, 22 and 27 as midpoints for frequency distribution of the number of boats manufactured during each of the past 18 months with the use of five classes of equal size (5−9, 10−14, 15−19, 20−24, and 25−29), if you are the vice president in charge of production of Endeavor Marine, Inc., a manufacturer of custom fishing boats.

Answer 10

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Answer 11

(c)

To determine

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Answer 12

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Ch. 21.I - Use Table 21-1 to answer the following questions...Ch. 21.I - Use Exhibits 21-1 and 21-2 to answer the following...Ch. 21.I - Prob. 3TIE Ch. 21.I - Prob. 4TIE Ch. 21.I - Prob. 5TIE Ch. 21.I - Prob. 6TIE Ch. 21.I - Prob. 7TIE Ch. 21.I - Prob. 8TIE Ch. 21.I - Prob. 9TIE Ch. 21.I - Prob. 10TIE

Solution Summary: The author explains how to calculate the frequency distribution of the number of boats manufactured during the past 18 months.

Videos

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2

Chapter 21 Solutions

Class ($)	Tally	Frequency (f)
5−9	I	1
10−14	IIII	4
15−19	IIIII	6
20−24	IIII	5
25−29	II	2

Solution Summary: The author explains how to calculate the frequency distribution of the number of boats manufactured during the past 18 months.

Videos

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data. Class ($) Tally Frequency (f) 5−9 I 1 10−14 IIII 4 15−19 IIIII 6 20−24 IIII 5 25−29 II 2

Chapter 21 Solutions

To graph: A histogram for Endeavor Marine, Inc from the frequency distribution data.

Class ($) Tally Frequency (f)

5−9 I 1

10−14 IIII 4

15−19 IIIII 6

20−24 IIII 5

25−29 II 2