Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 3.2, Problem 61E
a.
To determine
The sample standard deviation using the defining formula.
b.
To determine
The sample standard deviation using the defining formula after replacing 9 in the data by 99.
c.
To determine
The property that lacks for standard deviation in this case.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth.
Age range (yr)
20–29
30–39
40–49
50–59
60–69
70–79
80+
Midpoint (x)
24.5
34.5
44.5
54.5
64.5
74.5
84.5
Percent of nurses
5.7%
9.7%
19.5%
29.2%
25.0%
9.1%
1.8%
What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth.
Age range (yr)
20–29
30–39
40–49
50–59
60–69
70–79
80+
Midpoint (x)
24.5
34.5
44.5
54.5
64.5
74.5
84.5
Percent of nurses
5.7%
9.7%
19.5%
29.2%
25.0%
9.1%
1.8%
Chapter 3 Solutions
Introductory Statistics (10th Edition)
Ch. 3.1 - Explain in detail the purpose of a measure of...Ch. 3.1 - Name and describe the three most important...Ch. 3.1 - Of the mean, median, and mode, which is the only...Ch. 3.1 - True or false: The mean, median, and mode can all...Ch. 3.1 - Consider the data set 1, 2, 3, 4, 5, 6, 7, 8, 9....Ch. 3.1 - Complete the following statement: A descriptive...Ch. 3.1 - Floor Space. The U.S. Department of Housing and...Ch. 3.1 - Net Worth. The Board of Governors of the Federal...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...
Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - Explain what each symbol represents. a. b. n c. lCh. 3.1 - For a particular population, is the population...Ch. 3.1 - Consider these sample data: x1 = 1, x2 = 7, x3 =...Ch. 3.1 - Consider these sample data: x1 = 12, x2 = 8, x3 =...Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - Prob. 26ECh. 3.1 - Medieval Cremation Burials. In the article...Ch. 3.1 - Monthly Motorcycle Casualties. The Scottish...Ch. 3.1 - Daily Motorcycle Accidents. The Scottish...Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - In each of Exercises 3.423.50, use the technology...Ch. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - In each of Exercises 3.513.52, a. use the...Ch. 3.1 - Prob. 52ECh. 3.1 - Food Choice. As you discovered earlier, ordinal...Ch. 3.1 - Outliers and Trimmed Means. Some data sets contain...Ch. 3.1 - Explain the difference between the quantities...Ch. 3.1 - Explain the difference between the quantities xiyi...Ch. 3.2 - Explain the purpose of a measure of variation.Ch. 3.2 - Why is the standard deviation preferable to the...Ch. 3.2 - When you use the standard deviation as a measure...Ch. 3.2 - Darts. The following dartboards represent darts...Ch. 3.2 - Prob. 61ECh. 3.2 - Consider the following four data sets. a. Compute...Ch. 3.2 - Age of U.S. Residents. The U.S. Census Bureau...Ch. 3.2 - Consider the data set 3, 3, 3, 3, 3, 3. a. Guess...Ch. 3.2 - Prob. 65ECh. 3.2 - In Exercises 3.653.70, we have provided simple...Ch. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - In Exercises 3.653.70, we have provided simple...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - Prob. 75ECh. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - Prob. 78ECh. 3.2 - Medieval Cremation Burials. In the article...Ch. 3.2 - Monthly Motorcycle Casualties. The Scottish...Ch. 3.2 - Daily Motorcycle Accidents. The Scottish...Ch. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - Prob. 83ECh. 3.2 - Prob. 84ECh. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - Prob. 87ECh. 3.2 - Prob. 88ECh. 3.2 - Prob. 89ECh. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - In each of Exercises 3.913.92, a. use the...Ch. 3.2 - In each of Exercises 3.913.92, a. use the...Ch. 3.2 - Outliers. In Exercise 3.54 on pages 104105, we...Ch. 3.2 - Weekly Salaries. In the following table, we repeat...Ch. 3.2 - Days to Maturity. The first two columns of the...Ch. 3.3 - Discuss the pros and cons of Chebyshevs rule.Ch. 3.3 - If the condition for using the empirical rule is...Ch. 3.3 - Apply Chebyshevs rule with k = 3 to verify that at...Ch. 3.3 - What does Chebyshevs rule say about the percentage...Ch. 3.3 - Prob. 100ECh. 3.3 - Prob. 101ECh. 3.3 - Consider the following data set. a. Draw a graph...Ch. 3.3 - Prob. 103ECh. 3.3 - Prob. 104ECh. 3.3 - Each of the following smooth curves represents the...Ch. 3.3 - Prob. 106ECh. 3.3 - Prob. 107ECh. 3.3 - Prob. 108ECh. 3.3 - Prob. 109ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 111ECh. 3.3 - Prob. 112ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 114ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 116ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 118ECh. 3.3 - Prob. 119ECh. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - Prob. 123ECh. 3.3 - Prob. 124ECh. 3.3 - Prob. 125ECh. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - Prob. 127ECh. 3.3 - Prob. 128ECh. 3.3 - Prob. 129ECh. 3.3 - Prob. 130ECh. 3.3 - Prob. 131ECh. 3.3 - Prob. 132ECh. 3.3 - Prob. 133ECh. 3.3 - Prob. 134ECh. 3.3 - In each of Exercises 3.1343.137, a. construct a...Ch. 3.3 - Prob. 136ECh. 3.3 - In each of Exercises 3.1343.137, a. construct a...Ch. 3.3 - Clocking the Cheetah. The cheetah (Acinonyx...Ch. 3.3 - Malnutrition and Poverty. R. Reifen et al. studied...Ch. 3.3 - In each of Exercises 3.1403.143, the quantitative...Ch. 3.3 - In each of Exercises 3.1403.143, the quantitative...Ch. 3.3 - In each of Exercises 3.1403.143, the quantitative...Ch. 3.3 - Prob. 143ECh. 3.3 - Prob. 144ECh. 3.3 - How many standard deviations to either side of the...Ch. 3.3 - How many standard deviations to either side of the...Ch. 3.3 - A data set consists of 2m2 1 zeros, one m, and...Ch. 3.4 - Identify by name three important groups of...Ch. 3.4 - Identify an advantage that the median and...Ch. 3.4 - Prob. 150ECh. 3.4 - Prob. 151ECh. 3.4 - Prob. 152ECh. 3.4 - Prob. 153ECh. 3.4 - Identify a use of the lower and upper limits.Ch. 3.4 - Prob. 155ECh. 3.4 - Which measure of variation is preferred when a....Ch. 3.4 - Fill in the blanks: Roughly, when arranged in...Ch. 3.4 - Fill in the blank: Roughly, when arranged in...Ch. 3.4 - Prob. 159ECh. 3.4 - Prob. 160ECh. 3.4 - Prob. 161ECh. 3.4 - Prob. 162ECh. 3.4 - Prob. 163ECh. 3.4 - Prob. 164ECh. 3.4 - Prob. 165ECh. 3.4 - Prob. 166ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 169ECh. 3.4 - Prob. 170ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 172ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 174ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 177ECh. 3.4 - Starting Salaries. The National Association of...Ch. 3.4 - Obesity. Researchers in obesity wanted to compare...Ch. 3.4 - Prob. 180ECh. 3.4 - Sickle Cell Disease. A study published by E....Ch. 3.4 - Prob. 182ECh. 3.4 - Prob. 183ECh. 3.4 - Prob. 184ECh. 3.4 - Prob. 185ECh. 3.4 - Prob. 186ECh. 3.4 - Prob. 187ECh. 3.4 - Prob. 188ECh. 3.4 - Prob. 189ECh. 3.4 - Prob. 190ECh. 3.4 - In each of Exercises 3.1883.191, a. use the...Ch. 3.5 - Identify each quantity as a parameter or a...Ch. 3.5 - Although, in practice, sample data are generally...Ch. 3.5 - Microwave Popcorn. For a given brand of microwave...Ch. 3.5 - Fill in the following blanks. a. A standardized...Ch. 3.5 - Identify the statistic that is used to estimate a....Ch. 3.5 - Augusta National Golf Course. Earlier in this...Ch. 3.5 - Augusta National Golf Course. Earlier in this...Ch. 3.5 - Heights of Basketball Players. In Section 3.2, we...Ch. 3.5 - Heights of Basketball Players. This exercise...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - Age of U.S. Residents. The U.S. Census Bureau...Ch. 3.5 - Chinchillidae Range. The family of mammals called...Ch. 3.5 - Atlantic Basin Hurricanes. The Tropical Cyclone...Ch. 3.5 - Dallas Mavericks. From the ESPN website, in the...Ch. 3.5 - STD Surveillance. The Centers for Disease Control...Ch. 3.5 - Dart Doubles. The top two players in the 20012002...Ch. 3.5 - Doing Time. According to Compendium of Federal...Ch. 3.5 - Gestation Periods of Humans. Gestation periods of...Ch. 3.5 - Frog Thumb Length. W. Duellman and J. Kohler...Ch. 3.5 - Prob. 216ECh. 3.5 - Low Gas Mileage. Suppose you buy a new car whose...Ch. 3.5 - Exam Scores. Suppose that you take an exam with...Ch. 3.5 - Prob. 219ECh. 3.5 - Consider a data set with m observations. If the...Ch. 3.5 - Prob. 221ECh. 3.5 - Stewed Tomatoes. A company produces cans of stewed...Ch. 3.5 - Prob. 223ECh. 3.5 - SAT Scores. Each year, thousands of high school...Ch. 3.5 - Copperhead and Tiger Snakes. S. Fearn et al....Ch. 3 - Define a. descriptive measures. b. measures of...Ch. 3 - Identify the two most commonly used measures of...Ch. 3 - Among the measures of center discussed, which is...Ch. 3 - Identify the most appropriate measure of variation...Ch. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - A quantitative data set of size 87 has mean 80 and...Ch. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Regarding outliers: a. What is an outlier? b....Ch. 3 - Regarding z-scores: a. How is a z-score obtained?...Ch. 3 - Party Time. An integral part of doing business in...Ch. 3 - Duration of Marriages. The National Center for...Ch. 3 - Causes of Death. The U.S. National Center for...Ch. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prices of New Mobile Homes. The U.S. Census Bureau...Ch. 3 - Millionaires. Refer to Problem 20. The ages of the...Ch. 3 - Prob. 24RPCh. 3 - A Better Golf Tee? An independent golf equipment...Ch. 3 - Prob. 26RPCh. 3 - UC Enrollment. According to the Statistical...Ch. 3 - Prob. 28RPCh. 3 - U.S. Divisions and Regions. The U.S. Census Bureau...Ch. 3 - Prob. 30RPCh. 3 - In Problems 3032, use the technology of your...Ch. 3 - In Problems 3032, use the technology of your...Ch. 3 - Vegetarians and Omnivores. Philosophical and...Ch. 3 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 3 - At the beginning of this chapter (page 94), we...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.arrow_forwardshow all stepsarrow_forwardMost people know that the probability of getting a head when you flip a fair coin is . You want to use the relative frequency of the event to show that the probability is . How many times should you simulate flipping the coin in the experiment? Would it be better to use 300 trials or 3000 trials? Explain.arrow_forward
- The qualified applicant pool for eight management trainee positions consists of ten women and six men. How many different groups of applicants can be selected for the positionsarrow_forwardYou want to make a salad from whatever vegetable you have in the fridge. You have seven different tomatoes. There are 2 red tomatoes, 4 yellow tomatoes, and one black tomato in the fridge. You have three different bell peppers. There is 1 red pepper, 1 yellow pepper, and 1 green pepper. What is the probability of randomly choosing a vegetable and getting a red tomato, and a green pepper? Round your answer to four decimal places.arrow_forwarduppose automobile insurance companies gave annual premiums for top-rated companies in several states. The figure below shows box plots for the annual premium for urban customers in three states. Which state offers the lowest premium? Which state offers the highest premium?arrow_forward
- Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a profit unless they gross over $940,000 per year. Let A be the event that a new Wing Foot store grosses over $940,000 its first year. Let B be the event that a store grosses over $940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a profit in either of the first two years. Assume that the accounting office at Wing Foot provided the following information: 58% of all Wing Foot stores show a profit the first year; 72% of all Wing Foot store show a profit the second year (this includes stores that did not show a profit the first year); however, 86% of Wing Foot stores that showed a profit the first year also showed a profit the second year. Compute P(B|Ac). Round your answer to the nearest hundredth.arrow_forwardYou draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck. If you get a3on the first card, find the probability of drawing a 3 for the second card.arrow_forwardDo bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest tenth. x: 14 0 37 21 35 23 24 -14 -14 -17 y: 8 -2 29 17 22 17 17 -2 -3 -8arrow_forward
- What percentage of the general U.S. population have bachelor's degrees? Suppose that the Statistical Abstract of the United States, 120th Edition, gives the following percentage of bachelor’s degrees by state. For convenience, the data are sorted in increasing order. 17 18 18 18 19 20 20 20 21 21 21 21 21 22 22 22 22 22 23 23 24 24 24 24 24 25 25 25 25 26 26 26 26 26 26 27 27 27 28 28 28 29 29 31 31 32 32 34 35 38 Illinois has a bachelor's degree percentage rate of about 18%. Into what quartile does this rate fall?arrow_forwardWhat percentage of the general U.S. population have bachelor's degrees? Suppose that the Statistical Abstract of the United States, 120th Edition, gives the following percentage of bachelor’s degrees by state. For convenience, the data are sorted in increasing order. 17 18 18 18 19 20 20 20 21 21 21 21 21 22 22 22 22 22 23 23 24 24 24 24 24 25 25 25 25 26 26 26 26 26 26 27 27 27 28 28 28 29 29 31 31 32 32 34 35 38 Illinois has a bachelor's degree percentage rate of about 18%. Into what quartile does this rate fall?arrow_forwardFind the range for the following sample data. x 23 17 11 30 27arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License