Concept explainers
Earnings A sociologist says, “Typically, men in the United States still earn more than women.” What does this statement
a. All men make more than all women in the United States.
b. All U.S. women’s salaries are less varied than all men’s salaries.
c. The center of the distribution of salaries for U.S. men is greater than the center for women.
d. The highest-paid people in the United States are men.
Identify the best choice among the four options that gives the best explanation for the statement, “Typically, men in the United States still earn more than women.”
Answer to Problem 1SE
The statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”
Explanation of Solution
Four statements giving the meaning of the statement, “Typically men in united states are earning more than women” are given.
Reasons for correct answer:
According to the statement in option (c), the center of the distribution of salaries for U.S. men is greater than that for women. As the center of the distribution is the median, it can be said that the median salary of men in U.S. is more than that of women. The median determines a typical observation. So, it can also be said that typically, the women in United States earn less than men.
Hence, the statement that gives the best explanation for the provided statement is option (c), “The center of the distribution of salaries for U.S. men is greater than the center for women.”
Reasons for incorrect answer:
The sociologist statement means that, a typical man’s salary in U.S. is greater than a typical woman. But it does not mean that all men have greater salaries than all women in U.S.
Hence, option (a) is incorrect.
According to the sociologist statement, it just conveys that, typically, men in U.S. earn more than women. There is no information regarding the variation of the salaries among men and women.
Hence, option (b) is incorrect.
The provided statement of a sociologist says only about the typical salary of men and women or the center of the distribution of salaries of men and women. It does not say about the highest pay. The highest paid people in U.S. can either be a men or women, which cannot be decided using the provided statement.
Hence, option (d) is incorrect.
Want to see more full solutions like this?
Chapter 3 Solutions
Introductory Statistics
Additional Math Textbook Solutions
Fundamentals of Statistics (5th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Introductory Statistics (10th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardCigarette Smokers The following table gives a recent estimate in millions of the smoking status among persons 25 years of the age and over their highest level of education. Source: National health interview survey. Education Current smoker Former smoker Non smoker Total Less than a high school diploma 7.90 6.66 14.12 28.68 High school diploma or GED 14.38 13.09 25.70 53.17 Some collage 12.41 13.55 28.65 54.61 Bachelors degree or higher 4.97 12.87 38.34 56.18 Total 39.66 46.17 106.81 192.64 a. Find the probability that a person is a current smoker. b. Find a probability that a person has less than a high school diploma. c. Find a probability that a person is a current smoker and has less than a high school diploma. d. Find the probability that a person is a current smoker, given that the person has less than a high school diploma. e. Are the events current smoker and less than a high school diploma independent events?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL