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Chapter 2: Q126E (page 131)

Question: Lobster trap placement.The strategic placement of lobster traps is one of the keys to a successful lobster fisherman. An observational study of teams fishing for the red spiny lobster in Baja California Sur, Mexico, was conducted and the results were published in the Bulletin of Marine Science(April 2010). Two variables measured for each of eightteams from the Punta Abreojos (PA) fishing cooperativewere y= total catch of lobsters (in kilograms) during theseason and x= average percentage of traps allocated perday to exploring areas of unknown catch (called search frequency).These data are listed in the next table. Graph

the data in a scatterplot. What type of trend, if any, do you observe?

Total Catch

Search Frequency

2785

35

6535

21

6695

26

4891

29

4937

23

5727

17

7019

21

5735

20

Short Answer

Expert verified

Answer:

a. The graph is given below:


a. Downward sloping trend

Step by step solution

01

Creating the scatter plot

The graph is given below:

02

Determining the trend

When the search frequency is increased to exploring areas of unknown catch, the total catch (kg) reduces. This creates a negative relation between the total catch and the search frequency.

Therefore, there is a downward sloping trend in the data.

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Most popular questions from this chapter

For each of the following data sets, compute xbar, s2, and s. If appropriate, specify the units in which your answers are expressed.

a.4, 6, 6, 5, 6, 7

b.- \(1, \)4, - \(3, \)0, - \(3, - \)6

c.3/5 %, 4/5 %, 2/5 %, 1/5 %, 1/16 %

d.Calculate the range of each data set in parts a鈥揷.

Is honey a cough remedy?Refer to the Archives of Pediatrics and Adolescent Medicine(Dec. 2007) studyof honey as a remedy for coughing, Exercise 2.31 (p. 86). Recall that the 105 ill children in the sample wererandomly divided into three groups: those who receiveda dosage of over-the-counter cough medicine (DM),those who received a dosage of honey (H), and thosewho received no dosage (control group). The coughingimprovement scores (as determined by the children鈥檚parents) for the patients are reproduced in the nexttable.

Honey Dosage

12, 11, 15, 11, 10, 13, 10, 4 ,15, 16, 9, 14, 10, 6, 10, 8, 11, 12, 12, 8, 12, 9, 11, 15, 10, 15, 9, 13, 8, 12, 10, 8, 9, 5, 12

DM Dosage

4, 6, 9, 4, 7, 7, 7, 9, 12 ,10, 11, 6, 3, 4, 9, 12, 7, 6, 8, 12, 12, 4, 12, 13, 7, 10

No Dosage
(Control)

13, 9, 4, 4, 10, 15, 9, 5, 8, 6, 1, 0, 8, 12, 8, 7, 7, 1, 6, 7, 7, 12, 7, 9, 7, 9, 5, 11, 9, 5, 6, 8, 8, 6, 7, 10, 9, 4, 8, 7, 3, 1, 4, 3

a) Find the median improvement score for the honey dosage group.

b) Find the median improvement score for the DM dosage group.

c) Find the median improvement score for the control group.

d) Based on the results, parts a鈥揷, what conclusions can pediatric researchers draw? (We show how to support these conclusions with a measure of reliability in subsequent chapters.)

The amount spent on textbooks for the fall term was recorded for a sample of five university students. The following data were observed: \(400, \)350, \(600, \)525, and $450. Calculate each of the following values for this data:

a.The sample mean

b.The sample median

c.The sample range

d.The standard deviation

Improving SAT scores.The National Education Longitudinal Survey (NELS) tracks a nationally representative sample of U.S. students from eighth grade through high school and college. Research published in Chance (Winter 2001) examined the Standardized Assessment Test (SAT) scores of 265 NELS students who paid a private tutor to help them improve their scores. The table summarizes the changes in both the 厂础罢鈥揗补迟丑ematics and 厂础罢鈥揤别谤产补濒 scores for these students.

厂础罢鈥揗补迟丑

厂础罢鈥揤别谤产补濒

Mean change in score

19

7

Standard deviation of score changes

65

49

a.Suppose one of the 265 students who paid a private tutor is selected at random. Give an interval that is likely to contain this student鈥檚 change in the 厂础罢鈥揗补迟丑 score.

b.Repeat part afor the 厂础罢鈥揤别谤产补濒 score.

c.Suppose the selected student increased his score on one of the SAT tests by 140 points. Which test, the SAT鈥� Math or 厂础罢鈥揤别谤产补濒, is the one most likely to have the 140-point increase? Explain.

Active nuclear power plants.Refer to Exercise 2.54 (p. 98) and the Nuclear Energy Institute鈥檚 data on the number of nuclear power plants operating in each of 30 states.

a.Find the range, variance, and standard deviation of this data set.

b.Eliminate the largest value from the data set and repeat part a.What effect does dropping this measurement have on the measures of variation found in part a?

c.Eliminate the smallest and largest value from the data set and repeat part a. What effect does dropping both of these measurements have on the measures of variation found in part a?

State

Status

Number of Power Plants

Alabama

Regulated

2

Arizona

Regulated

1

Arkansas

Regulated

1

California

Regulated

1

Connecticut

Deregulated

1

Florida

Regulated

3

Georgia

Regulated

2

Illinois

Deregulated

6

Iowa

Deregulated

1

Kansas

Regulated

1

Louisiana

Regulated

2

Maryland

Deregulated

1

Massachusetts

Deregulated

1

Michigan

Deregulated

3

Minnesota

Regulated

2

Mississippi

Regulated

1

Missouri

Regulated

1

Nebraska

Regulated

2

New Hampshire

Deregulated

1

New Jersey

Deregulated

3

New York

Deregulated

4

North Carolina

Regulated

3

Ohio

Deregulated

2

Pennsylvania

Deregulated

5

South Carolina

Regulated

4

Tennessee

Regulated

2

Texas

Deregulated

2

Virginia

Regulated

2

Washington

Regulated

1

Wisconsin

Deregulated

1
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