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statistical analysis using various graphing methods

1.
The data consists of a random sample of 50births taken from the 2007 North Carolina Birth Registry. For each variable:

(a)Group the data as indicated
(b) Prepare a frequency distribution with columns for intervals and frequencies
(c )Construct a histogram

Construct a frequency polygon
15 26 27 32 24 24 35 29 44 20
25 20 18 31 22 30 25 38 37 22
28 20 21 23 34 30 27 24 33 29
26 20 18 15 24 28 24 31 20 20
21 24 25 33 28 36 26 27 35 19

2.
Construct a frequency distribution and a histogram for the below monthly rent payments

430 330 740 860 940 280
2400 1000 1800 300 2400 300
2000 350 3200 2100 710 1100
1300 1100 500 500 2000 800
1000 160 1400 900 700 740

3.
For the 22 states that produce large numbers of broiler chickens, the following stem-and -leaf plot gives the production in millions of live pounds
a) Describe the shape of the distribution
b) How many states produce fewer than 10 million pounds

Stem Leaves
0 0012234
0 8
1 02333
1 66
2 2
3 2
3 4
4 78
5
5
6 4
6 7
Units:6/7 = 67 million pounds

4.
Construct a histogram and a frequency polygon for the following data.

Class Interval Frequency
30-under 32 5
32-under 34 7
34-under 36 15
36-under 38 21
38-under 40 34
40-under 42 24
42-under 44 17
44-under 46 8

5.
A list of the largest accounting firms the US along with their net revenue figures of 1997 ($millions) according to the Public Accounting Report follows.

Firm Revenue
Andersen Worldwide $5,445
Ernst&Young $4, 416
Deloitte&Touche $3,600
KPMG Peat Marwick $2,698
Coopers&Lybrand $2,504
PriceWaterhouse $2,344
Grant Thornton $289
McGladrey&Pullen $279
BDO Seidman $240

Construct a pie chart to represent these data. Label the slices with the appropriate percentages. Comment on the effectiveness of using a pie chart to display the revenue of these top accounting firms.

6.
An airline company uses a central telephone bank and a semi-automated telephone process to take reservations. It has been receiving an unusually high number of customer complaints about its reservation system. The company conducted a survey of customers, asking them whether they had encountered any of the following problems in making reservations: busy signal, disconnection, poor connection, too long a wait to talk to someone, could not get through to an agent, connected with the wrong person. Supposes a survey of 744 complaining customers resulted in the following frequency tally.

Number of Complaints Complaint
184 Too long a wait
10 Transferred to the wrong person
85 Could not get through to an agent
37 Got disconnected
420 Busy signal
8 Poor connection

Construct a Pareto diagram from this information to display the various problems encountered in making reservation.

7.
Are the advertising dollars spent by a company related to total sales revenue? The following data represent the advertising dollars and the sales revenues for various companies in a given industry during a recent year. Construct a scatter plot of the data from the two variables and discuss the relationship between the two variables.

Advertising (in $millions) Sales (in $millions)
4.2 155.7
1.6 87.3
6.3 135.6
2.7 99.0
10.4 168.2
7.1 136.9
5.5 101.4
8.3 158.2.

Solution Preview

See the attachment.
1.
First, we arrange the data in ascending order:

15 15 18 18 19 20 20 20 20 20 20 21 21 22 22 23 24 24 24 24 24 24 25 25 25 26 26 26 27 27 27 28 28 28 29 29 30 30 31 31 32 33 33 34 35 35 36 37 38 44

Based on this ordered data set, we could obtain the following frequency distribution table:
interval Frequency
[15,19] 5
[20,24] 17
[25,29] 14
[30,34] 8
[35,39] 5
[40,44] 1

Based ...

Solution Summary

The solution provides a statistical analysis using various graphing methods.

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