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| bolígrafo(s) | Sí  | 3 |
| calculadora(s) | Sí | 1 |
| cuaderno(s) | Sí | 5 |
| diccionario(s) | No | - |
| lápiz (lápices) | Sí | 1 |
| libro(s) de texto | Sí | 7 |
| mochila(s) | Sí | 1 |
| papel(es) | No | - |
| pizarrón blanco (pizarrones blancos) | No | - |
The ages of a sample of Canadian tourists flying from Toronto to Hong Kong were: 31, 23, 57, 41, 52, 14, 77, 51, 34, 40 (Round range to nearest whole number and standard deviation to 2 decimal places.)
|
| a. | Compute the range. |
| Range |
| b. | Compute the standard deviation. |
| Standard deviation |
|
The range is the difference between the largest and smallest value or 63, found by 77 – 14.
|
|
The sample mean is 13.80, found by 138/10 where
 = 42.00 |
|
The
differences between each value and the mean are: -11.0, -19.0, 15.0,
-1.0, 10.0, -28.0, 35.0, 9.0, -8.0 and -2.0, respectively. Their squares
are 121.00, 361.00, 225.00, 1.00, 100.00, 784.00, 1,225.00, 81.00,
64.00, and 4.00. The sum of the squares is 2,966.0. So the sample
variance is 329.556, found by 2,966.0/9 and the sample standard
deviation is the square root of that number or 18.1537.
|
The
demand for the video games provided by Mid-Tech Video Games Inc. has
exploded in the last several years. Hence, the owner needs to hire
several new technical people to keep up with the demand. Mid-Tech gives
each applicant a special test that Dr. McGraw, the designer of the test,
believes is closely related to the ability to create video games. For
the general population, the mean on this test is 100. Below are the
scores on this test for the applicants.
|
| 95 | 113 | 88 | 93 | 119 | 88 | 111 | 92 | 102 | 9 |
| The president is interested in the overall quality of the job applicants based on this test. |
| a. |
Compute the mean and the median scores for the 10 applicants. (Round your answers to 1 decimal place.)
|
| Mean | |
| Median | |
| | |
| b. | What would you report to the president? |
| Applicants are not better than regular people. |
|
The
mean is the total divided by the number of values. Add the values and
divide by 10. So, the mean equals 91.0 found by 910/ 10.
|
|
To
find the median, sort the values and identify the midpoint. The sorted
values are: 9, 88, 88, 92, 93, 95, 102, 111, 113 and 119. So the median
is the average of the fifth and sixth or (93 + 95)/2 = 94.0.
|
| b. |
|
Since the mean for the general population is 100, these applicants are not better than regular people.
|
|
A property title search firm is contemplating using online
software to increase its search productivity. Currently an average of 40 minutes
is needed to do a title search. The researcher cost is $1.6 per minute.
Clients are charged a fee of $430. Company A’s software would reduce the
average search time by 14 minutes, at a cost of $3.0 per search. Company B’s
software would reduce the average search time by 16 minutes at a cost of $5.2
per search.
|
|
a.
|
Calculate the productivity in terms of revenue per dollar of
input. (Round your intermediate
calculations and final answers to 2 decimal places. Omit the "$"
sign in your response.)
|
|
Approach
|
Productivity per
Dollar Input |
|
Current
|
$ 6.72
 |
|
Company A
|
$ 9.64
|
|
Company B
|
$ 9.86
|
|
|
|
|
b.
|
Which option would
have the highest productivity in terms of revenue per dollar of input?
|
|
|
|
|
|
Company B
|
|
The following table shows data on the average number of
customers processed by several bank service units each day. The hourly wage
rate is $40, the overhead rate is 1.0 times labor cost, and material cost is
$8 per customer.
|
|
Unit
|
Employees
|
Customers Processed / Day
|
|
A
|
4
|
32
|
|
B
|
4
|
46
|
|
C
|
9
|
60
|
|
D
|
3
|
24
|
|
|
||
|
a.
|
Compute the labor productivity and the multifactor productivity
for each unit. Use an eight-hour day for multifactor productivity. (Round your "Labor Productivity"
answers to 1 decimal place and "Multifactor Productivity"
answers to 3 decimal places.)
|
|
Unit
|
Labor
Productivity |
Multifactor
Productivity
|
|
A
|
8.0
|
0.011
|
|
B
|
11.5
|
0.016
|
|
C
|
6.7
|
0.010
|
|
D
|
8.0
|
0.011
|
|
|
||
|
b.
|
Suppose a new, more standardized procedure is to be introduced
that will enable each employee to process one additional customer per day.
Compute the expected labor and multifactor productivity rates for each unit. (Round your "Labor Productivity"
answers to 1 decimal place and "Multifactor Productivity"
answers to 4 decimal places.)
|
|
Unit
|
Labor
Productivity |
Multifactor
Productivity |
|
A
|
9.0
|
0.0126
|
|
B
|
12.5
|
0.0169
|
|
C
|
7.7
|
0.0109
|
|
D
|
9.0
|
0.0126
|
|
|
||
|
An operation has a 25
percent scrap rate. As a result, 74 pieces per hour are produced. What is the
potential increase in labor productivity that could be achieved by
eliminating the scrap? (Round your intermediate calculations to 3 decimal places and
final answer to 1 decimal place. Omit the "%" sign in your
response.)
|
|
This would
amount to an increase of
|
33.3
% |
|
A company that makes shopping carts for supermarkets and other
stores recently purchased some new equipment that reduces the labor content
of the jobs needed to produce the shopping carts. Prior to buying the new
equipment, the company used 6 workers, who produced an average of 80 carts
per hour. Workers receive $15 per hour, and machine cost was $30 per hour.
With the new equipment, it was possible to transfer one of the workers to
another department, and equipment cost increased by $11 per hour while output
increased by 6 carts per hour.
|
|
a.
|
Compute labor productivity under each system. Use carts per
worker per hour as the measure of labor productivity. (Round your answers to 2 decimal places.)
|
|
Before
|
13.33
|
carts per
worker per hour
|
|
After
|
17.20
|
carts per
worker per hour
|
|
b.
|
Compute the multifactor productivity under each system. Use
carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 2 decimal places.)
|
|
Before
|
0.67
|
carts/$1
|
|
After
|
0.74
|
carts/$1
|
|
c.
|
Comment on the changes in productivity according to the two
measures. (Round your
intermediate calculations and final answers to 2 decimal places. Omit
the "%" signs in your response.)
|
|
Labor
productivity
|
increased
by 29.03 % |
|
Multifactor
productivity
|
increased
by 10.45 % |
|
Compute the multifactor productivity measure for each of the
weeks shown for production of chocolate bars. Assume 40-hour weeks and an
hourly wage of $14. Overhead is 1.5 times weekly labor cost. Material cost is
$9 per pound. (Round your answers to 2
decimal places.)
|
|
Week
|
Output (units)
|
Workers
|
Material (lbs)
|
|
1
|
29,000
|
5
|
470
|
|
2
|
33,000
|
8
|
490
|
|
3
|
31,000
|
8
|
540
|
|
4
|
35,000
|
10
|
570
|
|
|
|||
|
Week
|
MFP
|
|
1
|
2.58
|
|
2
|
2.11
|
|
3
|
1.93
|
|
4
|
1.83
|
|
|
|
