Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 2.4, Problem 34E
Using the
34. The monthly utility bills for eight households are listed. Using the sample statistics from Exercise 30, determine which of the data entries are unusual. Are any of the data entries very unusual? Explain your reasoning.
$65, $52, $63, $83, $77, $98, $84, $70
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Chapter 2 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 2.1 - Construct a frequency distribution using the...Ch. 2.1 - Using the frequency distribution constructed in...Ch. 2.1 - Use the frequency distribution from Try It...Ch. 2.1 - Use the frequency distribution from Try It...Ch. 2.1 - Use the frequency distribution in Try It Yourself...Ch. 2.1 - Use the frequency distribution from Try It...Ch. 2.1 - Use technology and the frequency distribution from...Ch. 2.1 - What are some benefits of representing data sets...Ch. 2.1 - Why should the number of classes in a frequency...Ch. 2.1 - What is the difference between class limits and...
Ch. 2.1 - What is the difference between relative frequency...Ch. 2.1 - After constructing an expanded frequency...Ch. 2.1 - What is the difference between a frequency polygon...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - Prob. 10ECh. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - Reading a Frequency Distribution In Exercises 15...Ch. 2.1 - Reading a Frequency Distribution In Exercises 15...Ch. 2.1 - Use the frequency distribution in Exercise 15 to...Ch. 2.1 - Use the frequency distribution in Exercise 16 to...Ch. 2.1 - Graphical Analysis In Exercises 19 and 20, use the...Ch. 2.1 - Graphical Analysis In Exercises 19 and 20, use the...Ch. 2.1 - Graphical Analysis In Exercises 21 and 22, use the...Ch. 2.1 - Graphical Analysis In Exercises 21 and 22, use the...Ch. 2.1 - Graphical Analysis In Exercises 23 and 24, use the...Ch. 2.1 - Graphical Analysis In Exercises 23 and 24, use the...Ch. 2.1 - Prob. 25ECh. 2.1 - Graphical Analysis In Exercises 25 and 26, use the...Ch. 2.1 - Use the ogive in Exercise 25 to approximate (a)...Ch. 2.1 - Use the ogive in Exercise 26 to approximate (a)...Ch. 2.1 - Constructing a Frequency Distribution In Exercises...Ch. 2.1 - Constructing a Frequency Distribution In Exercises...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Cumulative Frequency Distribution...Ch. 2.1 - Constructing a Cumulative Frequency Distribution...Ch. 2.1 - In Exercises 43 and 44, use the data set and the...Ch. 2.1 - In Exercises 43 and 44, use the data set and the...Ch. 2.1 - What Would You Do? You work at a bank and are...Ch. 2.1 - What Would You Do? The admissions department for a...Ch. 2.1 - Writing Use the data set listed and technology to...Ch. 2.2 - Use a stem-and-leaf plot to organize the points...Ch. 2.2 - Using two rows for each stem, revise the...Ch. 2.2 - Use a dot plot to organize the points scored by...Ch. 2.2 - The numbers of earned degrees conferred (in...Ch. 2.2 - Every year, the Better Business Bureau (BBB)...Ch. 2.2 - The lengths of employment and the salaries of 10...Ch. 2.2 - Use the table in Example 7 to construct a time...Ch. 2.2 - Name some ways to display quantitative data...Ch. 2.2 - What is an advantage of using a stem-and-leaf plot...Ch. 2.2 - In terms of displaying data, how is a...Ch. 2.2 - How is a Pareto chart different from a standard...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Prob. 12ECh. 2.2 - Graphical Analysis In Exercises 1316, give three...Ch. 2.2 - Graphical Analysis In Exercises 1316, give three...Ch. 2.2 - Graphical Analysis In Exercises 1316, give three...Ch. 2.2 - Graphical Analysis In Exercises 1316, give three...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Prob. 19ECh. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Hourly Wages Use a scatter plot to display the...Ch. 2.2 - Salaries Use a scatter plot to display the data...Ch. 2.2 - Engineering Degrees Use a time series chart to...Ch. 2.2 - Construction Use a time series chart to display...Ch. 2.2 - Basketball Display the data below in a...Ch. 2.2 - Phone Screen Sizes Display the data below in a dot...Ch. 2.2 - Favorite Season Display the data below in a Pareto...Ch. 2.2 - Favorite Day of the Week Display the data below in...Ch. 2.2 - A Misleading Graph? A misleading graph is not...Ch. 2.2 - Prob. 38ECh. 2.2 - A Misleading Graph? A misleading graph is not...Ch. 2.2 - Prob. 40ECh. 2.2 - Law Firm Salaries A back-to-back stem-and-leaf...Ch. 2.2 - Yoga Classes The data sets at the left show the...Ch. 2.2 - Choosing an Appropriate Display Use technology to...Ch. 2.3 - Find the mean of the points scored by the 51...Ch. 2.3 - Find the median of the points scored by the 51...Ch. 2.3 - The points scored by the winning teams in the...Ch. 2.3 - Find the mode of the points scored by the 51...Ch. 2.3 - In a survey, 1534 adults were asked, How much do...Ch. 2.3 - Remove the data entry 65 from the data set in...Ch. 2.3 - In Example 7, your grade in the two-credit course...Ch. 2.3 - Use a frequency distribution to estimate the mean...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - True or False? In Exercises 14, determine whether...Ch. 2.3 - True or False? 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In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - Finding Quartiles, Interquartile Range, and...Ch. 2.5 - Finding Quartiles, Interquartile Range, and...Ch. 2.5 - Graphical Analysis In Exercises 13 and 14, use the...Ch. 2.5 - Graphical Analysis In Exercises 13 and 14, use the...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Prob. 23ECh. 2.5 - Using Technology to Find Quartiles and Draw Graphs...Ch. 2.5 - Using Technology to Find Quartiles and Draw Graphs...Ch. 2.5 - Using Technology to Find Quartiles and Draw Graphs...Ch. 2.5 - Studying Refer to the data set in Exercise 23 and...Ch. 2.5 - 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Finding z-Scores The distribution of the ages of...Ch. 2.5 - Finding z-Scores The distribution of the ages of...Ch. 2.5 - Finding z-Scores The distribution of the ages of...Ch. 2.5 - Prob. 48ECh. 2.5 - Life Spans of Tires A brand of automobile tire has...Ch. 2.5 - Life Spans of Fruit Flies The life spans of a...Ch. 2.5 - Comparing z-Scores from Different Data Sets The...Ch. 2.5 - Comparing z-Scores from Different Data Sets The...Ch. 2.5 - Comparing z-Scores from Different Data Sets The...Ch. 2.5 - Comparing z-Scores from Different Data Sets The...Ch. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Song Lengths Side-by-side box-and-whisker plots...Ch. 2.5 - Credit Card Purchases The credit card purchases...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2 - In Exercises 1 and 2, use the data set, which...Ch. 2 - In Exercises 1 and 2, use the data set, which...Ch. 2 - In Exercises 3 and 4, use the data set shown in...Ch. 2 - In Exercises 3 and 4, use the data set shown in...Ch. 2 - In Exercises 5 and 6, use the data set, which...Ch. 2 - In Exercises 5 and 6, use the data set, which...Ch. 2 - In Exercises 7 and 8, use the data set, which...Ch. 2 - In Exercises 7 and 8, use the data set, which...Ch. 2 - In Exercises 9 and 10, use the data set, which...Ch. 2 - In Exercises 9 and 10, use the data set, which...Ch. 2 - The heights (in feet) and the numbers of stories...Ch. 2 - The U.S. real unemployment rates over a 12-year...Ch. 2 - In Exercises 13 and 14, find the mean, the median,...Ch. 2 - In Exercises 13 and 14, find the mean, the median,...Ch. 2 - For the six test scores 78, 72, 86, 91, 87, and...Ch. 2 - For the four test scores 96, 85, 91, and 86, the...Ch. 2 - Estimate the mean of the frequency distribution...Ch. 2 - The frequency distribution shows the numbers of...Ch. 2 - Describe the shape of the distribution for the...Ch. 2 - Describe the shape of the distribution for the...Ch. 2 - In Exercises 21 and 22, determine whether the...Ch. 2 - In Exercises 21 and 22, determine whether the...Ch. 2 - For the histogram in Exercise 21, which is...Ch. 2 - Prob. 2.3.24RECh. 2 - In Exercises 25 and 26, find the range, mean,...Ch. 2 - In Exercises 25 and 26, find the range, mean,...Ch. 2 - In Exercises 27 and 28, find the range, mean,...Ch. 2 - In Exercises 27 and 28, find the range, mean,...Ch. 2 - The mean charge for electricity for a sample of...Ch. 2 - The mean charge for satellite television for a...Ch. 2 - The mean sale per customer for 40 customers at a...Ch. 2 - The mean duration of the 135 space shuttle flights...Ch. 2 - From a random sample of households, the numbers of...Ch. 2 - From a random sample of airplanes, the numbers of...Ch. 2 - In Exercises 35 and 36, find the coefficient of...Ch. 2 - In Exercises 35 and 36, find the coefficient of...Ch. 2 - In Exercises 3740, use the data set, which...Ch. 2 - In Exercises 3740, use the data set, which...Ch. 2 - In Exercises 3740, use the data set, which...Ch. 2 - In Exercises 3740, use the data set, which...Ch. 2 - Find the interquartile range of the data set from...Ch. 2 - The weights (in pounds) of the defensive players...Ch. 2 - A students test grade of 75 represents the 65th...Ch. 2 - As of December 2016, there were 721 adult...Ch. 2 - The towing capacities (in pounds) of all the...Ch. 2 - The towing capacities (in pounds) of all the...Ch. 2 - The towing capacities (in pounds) of all the...Ch. 2 - The towing capacities (in pounds) of all the...Ch. 2 - The data set represents the numbers of minutes a...Ch. 2 - Use frequency distribution formulas to approximate...Ch. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - The mean price of new homes from a sample of...Ch. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - The overall averages of 12 students in a...Ch. 2 - The data set represents the numbers of movies that...Ch. 2 - Use frequency distribution formulas to estimate...Ch. 2 - For the data set in Exercise 2, find the...Ch. 2 - The table lists the numbers of albums by The...Ch. 2 - The numbers of minutes it took 12 students in a...Ch. 2 - The data set represents the ages of 15 college...Ch. 2 - The mean gestational length of a sample of 208...Ch. 2 - How Would You Do It? (a) How would you investigate...Ch. 2 - Displaying the Data (a) What type of graph would...Ch. 2 - Measuring the Data (a) What other statistical...Ch. 2 - In Exercises 15, use technology. If possible,...Ch. 2 - In Exercises 15, use technology. If possible,...Ch. 2 - In Exercises 15, use technology. If possible,...Ch. 2 - In Exercises 15, use technology. If possible,...Ch. 2 - In Exercises 15, use technology. If possible,...Ch. 2 - What percent of the distribution lies within one...Ch. 2 - Do the results of Exercise 6 agree with the...Ch. 2 - Do the results of Exercise 6 agree with Chebychevs...Ch. 2 - Use the frequency distribution in Exercise 4 to...Ch. 2 - Prob. 10TCh. 2 - In Exercices 1 and 2, identify the sampling...Ch. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - In Exercises 4 and 5, determine whether the number...Ch. 2 - In Exercises 4 and 5, determine whether the number...Ch. 2 - Prob. 6CRCh. 2 - In Exercises 7 and 8, identify the population and...Ch. 2 - Prob. 8CRCh. 2 - In Exercises 9 and 10, determine whether the study...Ch. 2 - Section 1.3 In Exercises 9 and 10, determine...Ch. 2 - Prob. 11CRCh. 2 - Section 1.2 In Exercises 11 and 12, determine...Ch. 2 - The numbers of tornadoes by state in 2016 are...Ch. 2 - Prob. 14CRCh. 2 - Tail lengths (in feet) for a sample of American...Ch. 2 - A study shows that life expectancies for Americans...Ch. 2 - In Exercises 1719, use the data set, which...Ch. 2 - In Exercises 1719, use the data set, which...Ch. 2 - In Exercises 1719, use the data set, which...
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- A box contains 14 large marbles and 10 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 4 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express as a fraction or a decimal number rounded to four decimal places.arrow_forwardCan I get help with this step please? At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.33. After the student shoots 28 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.25. Does this evidence support the student's claim that the gun's sight is off? Use a 0.025 level of significance. Assume that the…arrow_forwardThe National Academy of Science reported that 38% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 38 % ? Use a 0.02 level of significance. Compute the value of the test statistic. Round to two decimal places.arrow_forward
- A marketing research company desires to know the mean consumption of milk per week among males over age 32. They believe that the milk consumption has a mean of 4 liters, and want to construct a 98% confidence interval with a maximum error of 0.07 liters. Assuming a variance of 0.64 liters, what is the minimum number of males over age 32 they must include in their sample? Round up to the next integer.arrow_forwardSuppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to recruit students whose scores are in the top 4 % . What is the minimum score required for recruitment? Round to the nearest whole number, if necessaryarrow_forwardNeed help with my homework thank you random sample of 6 fields of durum wheat has a mean yield of 45.5 bushels per acre and standard deviation of 7.43 bushels per acre. Determine the 80 % confidence interval for the true mean yield. Assume the population is approximately normal. Step 1: Find the critical value that should be used in constructing the confidence interval. Round to three decimal places. Step 2 of 2: Construct the 80% confidence interval. Round to one decimal place. I got 1.476 as my critical value and 41.0 and 49.9 as my confidence intervalarrow_forward
- Can someone check my work? If you draw a card with a value of four or less from a standard deck of cards, I will pay you $14. If not, you pay me $8. (Aces are considered the highest card in the deck.) Step 1 of 2: Find the expected value of the proposition. Round to two decimal places. Losses must be expressed as negative values. PT 2: If you played this game 718 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values. for part 1 I got -2.92 pt 2 -2097.56arrow_forwardThe following table describes the distribution of a random sample S of 200 individuals, arranged by education level and income. Income(Dollars per Year) < High School High School Diploma Some College Bachelor’s Degree Graduate Degree Post-Graduate Degree 0-25,000 12 8 3 2 1 0 25,000-50,000 7 12 9 12 11 2 50,000-75,000 1 3 4 6 14 5 75,000-100,000 0 2 1 8 11 8 100,000-125,000 0 1 1 4 8 9 125,000-150,000 0 0 2 3 7 12 150,000+ 0 0 1 1 3 6 Let events be defined as follows: A = the event the subject makes 0-25,000 dollars per yearB = the event the subject makes 25,000-50,000 dollars per year C = the event the subject makes 50,000-75,000 dollars per yearD = the event the subject makes 75,000-100,000 dollars per yearE = the event the subject makes 100,000-125,000 dollars per yearF = the event the subject makes 125,000-150,000 dollars per yearG = the event…arrow_forwardwhat does the central limit theorem, for all samples of the same size n with n>30, the sampling distribution of x can be approximated by a normal distribution mean? What is a real life example using this theoremarrow_forward
- An investigator analyzed the leading digits from 797 checks issued by seven suspect companies. The frequencies were found to be 0, 19, 2, 50, 361, 309, 10, 22, and 24, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 1 2 3 4 5 6 7 8 9 0 19 2 50 361 309 10 22 24 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Ho The leading digits are from a population that conforms to Benford's law. H₁: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, x². x² = (Round to three…arrow_forwardFor the distribution drawn here, identify the mean, median, and mode. Question content area bottom Part 1 A. Aequalsmode, Bequalsmedian, Cequalsmean B. Aequalsmode, Bequalsmean, Cequalsmedian C. Aequalsmedian, Bequalsmode, Cequalsmean D. Aequalsmean, Bequalsmode, Cequalsmedianarrow_forwardA study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho PP2 H₁: P1 P2 OC. Ho H₁₂ H₁: P₁arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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