QMS210Winter2024Session2
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Feb 20, 2024
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QMS 210 Problem Solving – Winter 2024
Session 2
1.Measures of central tendency Mode, Mean, Median 2.Measures of variability Range, Interquartile range, standard deviation and variance, Coefficient of variation 3. Which is a better measure of central tendency? Mean or Median? 4. Shape of Distribution –
Skewness Problem 1. (Question 1 in MyLab)
The following data reflect the number of defects produced on an assembly line at an electronics company for the past 7 days. 0 5 4 1 3 2 5 a.
Compute the mean number of defects for this population of days.
b.
Compute the median number of defects produced for this population of days.
c.
Determine if there is a mode number of defects, and if so, indicate the mode value.
2
Problem 2. (Question 2 in MyLab)
A hospital wants to compare its annual patient turnover rate per bed with similar hospitals. The turnover rates for a sample of 55 beds at the hospital are shown in the table below. Annual Turnover Rate Number of Beds 10 & under 15 6 15 & under 20 8 20 & under 25 11 25 & under 30 30 (An annual turnover of 21 per bed indicates that, during the year, 21 patients occupied the same hospital bed.) What is the mean turnover rate?
3
Problem 3. (Question 3 in MyLab)
The following table is of profit, revenue, and number of employees of 4 companies. COMPANY
TOTAL
Revenue/employee
No.
of
Profit US$ US $ Employees billion Exxon 11.9 96,180 122700 Royal Dutch 7.6 74,284 105100 British Petroleum 4.3 70,859 56470 Petrofina SA 2.2 67,392 69062 (a)
For the 4 companies, find the mean profit per company (in billion US dollars).
(b)
Find the "overall" mean revenue per employee (i.e., for all employees of these firms combined) of the 4 companies (in US dollars).
(c)
What is the ``overall’’ mean profit per employee ($)?
4
Problem 4. (Question 4 in MyLab) Using the following data, Chain # of Stores Avg. Sales/Store ($ 000) Toys 'R' Us 144 7,233 Child World 79 3,589 Kaybee 361 506 (1)
find the average sales per chain (in $1000).
(2)
find the median sales per store ($).
(3)
find the overall average sales per store ($) (Round to the nearest integer).
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Related Questions
6. List and explain in detail why we include disturbance term or error term in the model?
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Production technology changes have included the use of separate kitchens for the drive-through window, timers to monitor the seconds it takes a customer to move from the menu board to the pick-up window, kitchen redesign to minimize unnecessary movement, and scnaners that send customers a monthly bill rather than having pay at each visit.
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Problem 10-7 (Algo)
The postmaster of a small western town receives a certain number of complaints each day about mail delivery.
DAY
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Number of complaints
4
12
16
8
9
6
5
13
14
7
6
4
2
10
Click here for the Excel Data File
a. Determine three-sigma control limits using the above data. (Round your intermediate calculations to 4 decimal places and final answers to 3 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Round up any negative control limit value to zero.)
b. Is the process in control?
multiple choice
Yes
No
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SCENARIO 2: Misleading for Good Purpose
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In response to intensive foreign competition, the management of Florex Company has attempted over the past year to improve the quality of its products. A statistical process control system has been installed and other steps have been taken to decrease the amount of warranty and other field costs, which have been trending upward over the past several years. Costs relating to quality and quality control over the last two years are given below:
Costs (in thousands)
Last Year
This Year
Inspection
$ 720
$ 909
Quality engineering
$ 450
$ 765
Depreciation of test equipment
$ 675
$ 270
Rework labor
$ 1,080
$ 1,530
Statistical process control
$ 0
$ 225
Cost of field servicing
$ 1,350
$ 1,260
Supplies used in testing
$ 45
$ 81
Systems development
$ 720
$ 900
Warranty repairs
$ 3,780
$ 1,620
Net cost of scrap
$ 630
$ 1,170
Product testing
$ 900
$ 1,800
Product recalls
$ 3,150
$ 900
Disposal of defective products
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$ 1,080
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Problem 10-5 (Algo)
Using samples of 196 credit card statements, an auditor found the following:Use Table-A.
Sample
1
2
3
4
Number with errors
4
3
6
9
Click here for the Excel Data File
a. Determine the fraction defective in each sample. (Round your answers to 4 decimal places.)
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d. What control limits would give an alpha risk of .03 for this process? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and other answers to 4 decimal places.)
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4.Examine the consequences and advantages of implementing Six Sigma in the industrial and service industries.
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X
Moving Range
MR
1
49.6
2
47.6
3
49.9
4
51.3
5
47.8
6
51.2
7
52.6
8
52.4
9
53.6
10
52.1
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q10-
What is the best description of Granger-causality?
Select one:
a.
the ability of lags of one variable to contribute to the forecast of another variable
b.
the ability of a variable to predict its own future
c.
the ability of the one variable to explain it own past
d.
None of the above
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