Quantitative Techniques in Business & Management Assignment
EXERCISE 1 - Discuss the differences between statistics as numerical facts and statistics as a discipline or field of study.
EXERCISE 2 - The U.S. Department of Energy fuel economy information for a variety of motor vehicles. A sample of 10 motor automobiles is shown in Table A (Fuel Economy website, February 22, 2008).
Data show the size of the automobile ( compact, midsize or large), the number of cylinders in the engine, the city driving miles per gallon, the highway driving miles per gallon, and the recommended fuel(diesel, premium, or regular)
A. How many elements are in this data set?
B. How many variables are in this data set?
C. Which variables are categorical and which variables are quantitative?
D. What type of measurement scale is used for each of the variables?
EXERCISE 3 - Refer to the data from Table A below.
TABLE A. FUEL ECONOMY INFORMATION FOR 10 AUTOMOBILES
|
Car
|
Size
|
Cylinders
|
City MPG
|
Highway MPG
|
Fuel
|
|
Audi A08
|
Large
|
12
|
13
|
19
|
Premium
|
|
BMW 328Xi
|
Compact
|
6
|
17
|
25
|
Premium
|
|
Cadillac CTS
|
Midsize
|
6
|
16
|
25
|
Regular
|
|
Chrysler 300
|
Large
|
8
|
13
|
18
|
Premium
|
|
Ford Focus
|
Compact
|
4
|
24
|
33
|
Regular
|
|
Hyundai Elantra
|
Midsize
|
4
|
25
|
33
|
Regular
|
|
Jeep Grand Cherokee
|
Midsize
|
6
|
17
|
26
|
Diesel
|
|
Pontiac G6
|
Compact
|
6
|
15
|
22
|
Regular
|
|
Toyota Camry
|
Midsize
|
4
|
21
|
31
|
Regular
|
|
Volkswagen Jetta
|
Compact
|
5
|
21
|
29
|
Regular
|
Questions -
A. What are the average miles per gallon for city driving?
B. On average, how much higher is the miles per gallon for highway driving as compared to city driving?
C. What percentage of the cars have four-cylinder engines?
D. What percentage of the cars use regular fuel?
EXERCISE 4 - Consider the following frequency distribution
|
Class
|
Frequency
|
|
10-19
|
10
|
|
20-29
|
14
|
|
30-39
|
17
|
|
40-49
|
7
|
|
50-59
|
2
|
Construct a cumulative frequency distribution and a cumulative relative frequency distribution. Fill-out the columns below.
|
Class
|
Cumulative frequency distribution
|
Cumulative relative frequency distribution
|
|
|
|
|
|
|
|
|
|
|
|
|
Exercise 5 - Construct a histogram and an ogive for the data in Exercise 4.
EXERCISE 6 - Consider the following data:
|
8.9
|
10.2
|
11.5
|
7.8
|
10.0
|
12.2
|
13.5
|
14.1
|
10.0
|
12.2
|
|
6.8
|
9.5
|
11.5
|
11.2
|
14.9
|
7.5
|
10.0
|
6.0
|
15.8
|
11.5
|
A. Construct a dot plot.
B. Construct a frequency distribution.
C. Construct a percent frequency distribution.
EXERCISE 7 - A doctor's office staff studied the waiting times for patients who arrive at the office with a request for emergency service.
The following data with waiting times in minutes were collected over a one-month period.
|
2
|
5
|
10
|
12
|
4
|
4
|
5
|
17
|
11
|
8
|
9
|
8
|
12
|
21
|
6
|
8
|
7
|
13
|
18
|
3
|
Use classes of 0-4, 5-9, and so on in the following:
A. Show the frequency distribution.
B. Show the relative frequency distribution.
C. Show the cumulative frequency distribution.
D. Show the cumulative relative frequency distribution.
E. What proportion of patients needing emergency service wait 9 minutes or less?
Exercise 8 - Consider a sample with data values of 27, 25, 20,15,30,34, 28 and 25. Provide the five- number summary for the data.
Exercise 9 - Show the five- number summary and the box plot for the following data: 5,15,18,10,8,12,16,10,6.
Exercise 10 - A data set has a first quartile of 42 and a third quartile of 50. Compute the lower and upper limits for the corresponding box plot. Should a data value of 65 be considered an outlier?