Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes). The following table indicates how many patients Dr. Fok has seen each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same year:
Year |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Number of Patients |
35 |
33 |
39 |
40 |
42 |
56 |
58 |
55 |
58 |
61 |
Robbery Rate per1,000 Population |
58.3 |
60.6 |
72.6 |
75.2 |
81.5 |
88.6 |
99.6 |
94.8 |
102.2 |
115.6 |
The simple linear regression equation that shows the best relationship between the number of patients and year is (round your responses to three decimal places):
ModifyingAbove y =?+?x
where
ModifyingAbove y= Dependent Variable and x = Independent Variable.
In: Other
Consider the following four--‐step assembly operation with quality problems. -The first resource has a processing time of 5 minutes per unit and one employee doing the operation ‐ The second resource has a processing time of 4 minutes per unit. It also has one employee doing the operation. However, this is a very delicate task and 0.85 of all products have to be scrapped after this step. ‐ Two workers are staffed for the third resource. No quality problems occur at this resource and the processing time is 22minutes per unit. ‐ At the fourth and final resource, one operator handles the product. No quality problems exist at this step and the processing time is 12 minutes per unit. What is the process capacity per hour? (keep two decimal)
In: Other
The Money Pit Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen samples of five completed mortgage transactions each were taken during a period when the process was believed to be in control. The times to complete the transactions were measured. The means and ranges of the mortgage process transaction times, measured in days, are as follows:
Sample | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Mean | 20 | 16 | 10 | 19 | 14 | 15 | 17 | 18 | 15 | 16 | 18 | 11 | 13 | 11 | 14 |
Range | 6 | 10 | 3 | 7 | 8 | 12 | 11 | 14 | 9 | 9 | 11 | 5 | 8 | 10 | 12 |
Subsequently, samples of size 5 were taken from the process every week for the next 10 weeks. The times were measured and the following results obtained:
Sample | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |
---|---|---|---|---|---|---|---|---|---|---|
Mean | 13 | 16 | 11 | 17 | 19 | 20 | 15 | 24 | 22 | 20 |
Range | 7 | 10 | 5 | 3 | 11 | 14 | 10 | 9 | 7 | 5 |
Click the icon to view the table of factors for calculating three-sigma limits for thex-chart and R-chart.
a. Construct the control charts for the mean and the range, using the original 15 samples
Set up the R-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.,)
R-chart |
---|
UCL_(R)=19.026 |
bar(R)=9 |
LCL_(R)=0 |
Set up the x-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.)
b. On the control charts developed in part (a), plot the values from samples 16 through 25 and comment on whether the process is in control Choose the correct R-chart for the data below
c. In part (b), if you concluded that the process was out of control, would you attribute it to a drift in the mean, or an increase in the variability, or both?
The process variability is _______ statistical control and the process average is _______ statistical control. Therefore, the entire process is _______ control.
In: Other
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF supplies hot dogs to local restaurants at a steady rate of 240 per day. The cost to prepare the equipment for producing hot dogs is $64. Annual holding costs are 44 cents per hot dog. The factory operates 294 days a year.
a. Find the optimal run size. (Do not round intermediate calculations. Round your answer to the nearest whole number.) Optimal run size
b. Find the number of runs per year. (Round your answer to the nearest whole number.) Number of runs
c. Find the length (in days) of a run. (Round your answer to the nearest whole number.) Run length (in days)
In: Other
The applied force
P
causes the rigid arm
ABC
to rotate clockwise about pin
A
through an angle of 0.05?.
(Figure
1)
Determine the normal strain developed in the wire BD.
Determine the normal strain developed in the wire CE.
In: Other
6.8 LAB: Acronyms ( PYTHON PLEASE )
An acronym is a word formed from the initial letters of words in a set phrase. Write a program whose input is a phrase and whose output is an acronym of the input. If a word begins with a lower case letter, don't include that letter in the acronym. Assume there will be at least one upper case letter in the input.
Ex: If the input is:
Institute of Electrical and Electronics Engineers
the output is:
IEEE
In: Other
Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes). The following table indicates how many patients Dr. Fok has seen each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same year:
Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|
Number of Patients | 36 | 32 | 39 | 40 | 40 | 56 | 60 | 55 | 59 | 61 |
Robbery Rate per 1,000 Population | 57.8 | 61.4 | 73.0 | 75.7 | 81.1 | 88.6 | 101.5 | 94.2 | 103.2 | 116.2 |
The simple linear regression equation that shows the best relationship between the number of patients and the robbery rate is (round your responses to three decimal places):
\(\hat{y}=\square+\square x\)
where \(\hat{y}\) = Number of Patients and x = Robbery Rate.
In year 11, if the robbery rate increases to 132.50, using trend analysis, the number of patients Dr. Fok will see = _______ patients (round your response to two decimal places).
In year 11, if the robbery rate decreases to 87.6, using trend analysis, the number of patients Dr. Fok will see = _______ patients (round your response to two decimal places).
In: Other
Race One Motors is an Indonesian car manufacturer. At its largest manufacturing facility, in Jakarta, the company produces subcomponents at a rate of 300 per day, and it uses these subcomponents at a rate of 12,500 per year (of 250 working days). Holding costs are $22 per item per year, and ordering costs are $32 per order.
a) What is the economic production quantity?
692.82 units (round your response to two decimal places).
b) How many production runs per year will be made?
production runs (round your response to two decimal places).
In: Other
The member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. If F= {20i - 40j - 75k} lb, determine the x, y, and z components of the reaction at A and the tension in cable BC. (Note: possible reactions at Aare Ay, Ax, Mx, My, and Mz).
In: Other
A sequential circuit has two JK flip-flops A and B, two inputs r and y, and one output z. The flip-flop input equations and circuit output equation are
\(\begin{aligned} J_{A} &=A^{\prime} x+B^{\prime} y & K_{A}=B x^{\prime} y^{\prime} \\ J_{B} &=A^{\prime} x y & K_{B}=A^{\prime}+B^{\prime} x \\ z &=A^{\prime} x^{\prime}+B^{\prime} y^{\prime} & \end{aligned}\)
(a) Derive the simplified state equations for A and B.
(b) Tabulate the state table.
(c) Draw the state diagram of the çircuit.
In: Other
Find the displacement thickness, momentum thickness and energy thickness for the velocity distribution in boundary layer given by:
\( \frac{u}{U}=2(\frac{y}{\delta})-(\frac{y}{\delta})^2 \)
In: Other
Consider the following time series data.
Week | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
Value | 18 | 15 | 16 | 13 | 17 | 16 |
a. Choose the correct time series plot.
What type of pattern exists in the data?
b. Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places.
Week | Time Series Value | Forecast |
---|---|---|
1 | 18 | |
2 | 15 | |
3 | 16 | |
4 | 13 | |
5 | 17 | |
6 | 16 |
MSE:
The forecast for week 7:
c. Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places.
Week | Time Series Value | Forecast |
---|---|---|
1 | 18 | |
2 | 15 | |
3 | 16 | |
4 | 13 | |
5 | 17 | |
6 | 16 |
MSE:
The forecast for week 7:
d. Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE?
Explain.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
e. Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2. Find a value of a for the smallest MSE. Round your answer to three decimal places.
α =
In: Other
Radovilsky Manufacturing Company, in Hayward, California, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 12,100 flashing lights per year and has the capability of producing 95 per day. Setting up the light production costs $51. The cost of each light is $0.95. The holding cost is $0.05 per light per year.
a) What is the optimal size of the production run? _______ units (round your response to the nearest whole number).
b) What is the average holding cost per year? $_______ , round your response to two decimal places
In: Other
The three-station work cell illustrated in Figure S7.7, has a product that must go through one of the two machines at station 1 (they are parallel) before proceeding to station 2.
Station 1 Machine A Capacity: 20 units/hr
Station 1 Machine B Capacity: 20 units/hr
Station 2 Capacity: 5 units/hr
Station 3 Capacity: 12 units/hr
a) what is the bottleneck time of the system?
b) what is the bottleneck station of this work cell?
c) what is the throughput time?
d) if the firm operates 10 hrs per day, 5 days per week, what is the weekly capacity of this work cell?
In: Other
A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists. The primary location being considered will have fixed costs of $9,200 per month and variable costs of 70 cents per unit produced. Each item is sold to retailers at a price that averages 90 cents.
a. What volume per month is required in order to break even?
b. What profit would be realized on a monthly volume of 61,000 units? 87,000 units?
c. What volume is needed to obtain a profit of $16,000 per month?
d. What volume is needed to provide a revenue of $23,000 per month?
e. Plot the total cost and total revenue lines
In: Other