Assignment 2 (Due at 11:59 pm)
Instructions:
- Please
answer the assignment questions in this docx file and save once you’re
satisfied. Assignment 2 covers the lectures slides for Week 3 and Week 4.
- There are six assignment problems. Please
follow the instructions given at the end of each question if any.
- To resubmit
your assignment, simply click to open “Assignment 2” again and click the grey
button “Start New Submission” on the upper right corner of the “Review
Submission History” webpage you’re directed to. You can make as many
submissions as you like before the due time. Only the
last submission will be graded.
Assignment Problems (98 points in total):
- The Carbondale Hospital is considering the purchase of a
new ambulance. The decision will rest partly on the anticipated mileage to
be driven next year. The miles driven during the past 5 years are as
follows.
Year
|
Mileage
|
1
|
3,000
|
2
|
4,000
|
3
|
3,400
|
4
|
3,800
|
5
|
3,700
|
(a) Using a simple three-month moving
average, forecast the mileage for Year 6. Please
provide at least one step of calculation and the correct value for full credit.
(4 points)
(b) Forecast the mileage for Year 6 using
a weighted moving average with weights of 0.5, 0.3, and 0.2. The weight of 0.5
is to be attached to the most recent mileage and 0.3 to the second most recent mileage.
For full credit, please provide at least
one step of calculation and the correct forecast. (4 points)
(c) Forecast the mileage for Year 6 using
exponential smoothing with α = 0.2 and the Year 5 forecast of 3,500. For full credit, please provide the
formula, at least one step of calculation and the correct forecast. (6 points)
(d) Estimate the regression equation using
simple linear regression analysis. For
both parameters a and b, please provide the formula, at least one step of
calculation, and the correct value for full credit. (12 points)
(e) Forecast the mileage for Year 6
using the regression equation from (d). Please
provide one step of calculation and the correct answer for full credit. (4
points)
- Income at the
architectural firm Spraggins and Yunes for the period February to July was as
follows:
Month
|
February
|
March
|
April
|
May
|
June
|
July
|
Income
(in $1,000)
|
70.0
|
68.5
|
64.8
|
71.7
|
71.3
|
72.8
|
Use
trend-adjusted exponential smoothing to forecast the firm’s August income.
Assume that the forecast for July without trend adjustment is $70,000 and the
trend estimate for July is 0. Set smoothing constants α = 0.1 and β = 0.2. Please provide calculation steps for F8,
T8, and FIT8. (12 points)
- Samples
are taken to monitor a filling process. The overall mean of the samples are
cc and the average range
cc. The sample size is 10.
(a) Determine the upper and lower
control limits of the
chart. Please
give the formulas for calculating UCL and LCL and at least one step of
calculation for full credit. (8
points)
(b) Determine the upper and lower
control limits of the R chart. Please
give the formulas for calculating UCL and LCL and at least one step of
calculation for full credit. (8
points)
- The
results of inspection of DNA samples taken over the past 10 days are given
below. Sample size is 100.
Day
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
# of defectives
|
7
|
6
|
6
|
9
|
5
|
0
|
0
|
8
|
6
|
1
|
(a) Determine the fraction defective
of the p chart. Please give the formula and at least one step of calculation for full
credit. (6 points)
(b) Determine the
of the p chart. Please give the formula and at least one step of calculation for full
credit. (6 points)
(c) Determine the 3-sigma upper control limit
and the 3-sigma lower control limit of the p chart. For each control limit, provide at least one step of calculation for
full credit. (8 points)
- Suppose
the difference between the upper specification and the lower specification
limits is 1.2 inches. The standard deviation is 0.2 inches. What is the process
capability ratio
? Please provide the formula, at least one
step of calculation, and the correct answer for full credit. (6 points)
- The
specifications for a plastic liner for concrete highway projects call for a
thickness of 4.0 mm
0.3 mm. The standard deviation of the process
is estimated to be 0.05 mm. The process is known to operate at a mean thickness
of 3.8 mm.
(a) What is the
of the process? Please provide the
formula, at least one step of calculation, and the correct answer for full
credit. (10 points)
(b) Is the process capable based on the
value and why? (4 points)
"Looking for a Similar Assignment? Order now and Get 10% Discount! Use Code "GET10" in your order"
