Introductory Statistics (2nd Edition)
Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 6, Problem 1SE

6.1-6.4 Directions Determine whether each of the following variables would best be modeled as continuous or discrete.

a. Number of cars passing a certain patrolman during one working day

b. Speed of a car (miles per hour) on a freeway

a.

Expert Solution
Check Mark
To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

b.

Expert Solution
Check Mark
To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

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Chapter 6 Solutions

Introductory Statistics (2nd Edition)

Ch. 6 - Snow Depth (Example 3) Eric wants to go skiing...Ch. 6 - Snow Depth Refer to Exercise 6.11. What is the...Ch. 6 - Applying the Empirical Rule with z-Scores The...Ch. 6 - IQs Wechsler IQs are approximately Normally...Ch. 6 - SAT Scores Quantitative SAT scores are...Ch. 6 - Women’s Heights Assume that college women’s...Ch. 6 - Women’s height (Example 4) College women have a...Ch. 6 - Act scores ACT score are approximately Normally...Ch. 6 - Standard Normal Use the table or technology to...Ch. 6 - Standard Normal Use a table or technology to...Ch. 6 - Standard Normal Use a table or technology to...Ch. 6 - Standard Normal Use a table or technology to...Ch. 6 - Extreme Positive z -Scores For each question, find...Ch. 6 - Extreme Negative z-Scores For each question, find...Ch. 6 - Females' SAT Scores (Example 5) According to data...Ch. 6 - Males' SAT Scores According to data from the...Ch. 6 - Stanford-Binet IQs Stanford-Binet IQ scores for...Ch. 6 - Stanford-Binet IQs Stanford-Binet IQs for children...Ch. 6 - Birth Length (Example 6) According to National...Ch. 6 - White Blood Cells The distribution of white blood...Ch. 6 - Red Blood Cells: Men The distribution of red blood...Ch. 6 - Red Blood Cells: Women Answer the previous...Ch. 6 - SAT Scores in Alaska In Alaska in 2010, the...Ch. 6 - SAT Scores in Connecticut In Connecticut in 2010,...Ch. 6 - SAT Scores in New Jersey In New Jersey in 2010,...Ch. 6 - SAT Scores in Texas In Texas in 2010, the average...Ch. 6 - New York City Weather New York City’s mean minimum...Ch. 6 - Women's Heights Assume for this question that...Ch. 6 - Probability or Measurement (Inverse)? (Example 7)...Ch. 6 - Probability or Measurement (Inverse)? The Normal...Ch. 6 - Inverse Normal, Standard In a standard Normal...Ch. 6 - Inverse Normal, Standard In a standard Normal...Ch. 6 - Inverse Normal, Standard Assume a standard Normal...Ch. 6 - Inverse Normal, Standard Assume a standard Normal...Ch. 6 - Females' SAT Scores (Example 8) According to the...Ch. 6 - Males' SAT Scores According to the College Board,...Ch. 6 - Tall Club, Women Suppose there is a club for tall...Ch. 6 - Tall Club, Men Suppose there is a club for tall...Ch. 6 - Women’s Heights Suppose college women’s heights...Ch. 6 - Men’s Heights Suppose college men’s heights are...Ch. 6 - Inverse SATs Critical reading SAT scores are...Ch. 6 - Inverse Women’s Heights College women have heights...Ch. 6 - Girls’ and Women’s Heights According to the...Ch. 6 - Boys’ and Men’s Heights According to the National...Ch. 6 - Cats’ Birth Weights The average birth weight of...Ch. 6 - Elephants’ Birth Weights The average birth weight...Ch. 6 - Gender of Children (Example 10) A married couple...Ch. 6 - Coin Flip A coin will be flipped four times, and...Ch. 6 - Coin Flips (Example 10) A teacher wants to find...Ch. 6 - Twins In Exercise 6.59 you are told to assume that...Ch. 6 - Divorce Suppose that the probability that a...Ch. 6 - Divorce Suppose that the probability that a...Ch. 6 - Identifying n, p, and x (Example 11) For each...Ch. 6 - Identifying n, p, and x For each situation,...Ch. 6 - Stolen Bicycles (Example 12) According to the...Ch. 6 - Florida Recidivism Rate The three-year recidivism...Ch. 6 - Prob. 67SECh. 6 - Cornell Admission The undergraduate admission rate...Ch. 6 - Wisconsin Graduation Wisconsin has the highest...Ch. 6 - Colorado Graduation Colorado has a high school...Ch. 6 - Florida Homicide Clearance The homicide clearance...Ch. 6 - Virginia Homicide Clearance The homicide clearance...Ch. 6 - DWI Convictions (Example 13) In New Mexico, about...Ch. 6 - Internet Access A 2013 Gallup poll indicated that...Ch. 6 - Drunk Walking You may have heard that drunk...Ch. 6 - Texting While Driving According to a Pew poll in...Ch. 6 - Coin Flip (Example 14) A fair coin is flipped 50...Ch. 6 - Drivers Aged 60-65 According to GMAC Insurance, 20...Ch. 6 - Prob. 79SECh. 6 - Prob. 80SECh. 6 - Birth Length A study of U.S. births published on...Ch. 6 - Birth Length A study of U.S. births published on...Ch. 6 - Males’ Body Temperatures A study of human body...Ch. 6 - Females’ Body Temperatures A study of human body...Ch. 6 - Prob. 85CRECh. 6 - Cremation Rates in Mississippi, Binomial and...Ch. 6 - Prob. 87CRECh. 6 - Quantitative SAT Scores, Normal and Binomial The...Ch. 6 - Prob. 89CRECh. 6 - Birth Length and z-Scores, Inverse Babies in the...
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