Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3.1, Problem 54E
Outliers and Trimmed Means. Some data sets contain outliers, observations that fall well outside the overall pattern of the data. (We discuss outliers in more detail in Section 3.4.) Suppose, for instance, that you are interested in the ability of high school algebra students to compute square roots. You decide to give a square-root exam to 10 of these students. Unfortunately, one of the students had a fight with his girlfriend and cannot concentrate—he gets a 0. The 10 scores are displayed in increasing order in the following table. The score of 0 is an outlier.
Statisticians have a systematic method for avoiding extreme observations and outliers when they calculate means. They compute trimmed means, in which high and low observations are deleted or “trimmed off” before the
The following table displays a set of scores for a 40-question algebra final exam.
- a. Do any of the scores look like outliers?
- b. Compute the usual mean of the data.
- c. Compute the 5% trimmed mean of the data.
- d. Compute the 10% trimmed mean of the data.
- e. Compare the means you obtained in parts (b)–(d). Which of the three means provides the best measure of center for the data?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)
Please provide the solution for the attached image in detailed.
20 km, because
GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
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
- Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).arrow_forwardA well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward
- 8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward
- 9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward
- 1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
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
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License