13th Edition

ISBN: 9780134462455

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 2.1, Problem 28BSC

Large Data Sets. Exercises 25–28 involve large sets of data, so technology should be used. Complete lists of the data are not included in Appendix B, but they can be downloaded from the website TriolaStats.com. Use the indicated data and construct the frequency distribution.

28. Earthquake Depths Use the depths (km) of the 600 earthquakes included in Data Set 21 “Earthquakes.” Use a class width of 10.0 km and begin with a lower class limit of 0.0 km. Does the frequency distribution appear to be a normal distribution?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 2.1, Problem 27BSC

Chapter 2.1, Problem 29BB

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3. The number of goals scored by Wayne Gretzky was recorded for seasons 1978 – 1999. (Please note the data set has been ordered from smallest to the largest for your convenience). 5, 9, 11, 16, 23, 23, 31, 38, 40, 40, 41, 46, 51, 52, 54, 55, 62, 71, 73, 87, 92 A. Construct a stem-and-leaf display for the data and describe the shape of the distribution (symmetric, skewed left, skewed right, bell-shaped, etc., any obvious outliers). B. What is the fraction of the data that is less than or equal to 31? C. Given that Ex, = 920 and Ex = 52 436 find the mean and standard deviation. D. Find the (i) median, (ii) Q1, (iii)Q:, (iv) the interquartile range (IQR), (v) the lower and upper fences. E. Construct a Box-plot for the data. What are your conclusions about the shape of the distribution? Compare with the results in Part A. F. Would the mean or the median be the most suitable measure to use to represent the central location of this distribution? Give reasons for your answer.

Answer for section D)

Speed cameras (SC) are used to reduce the risk of accidents in accident-prone zones in metropolitan cities. To study the effectiveness of speed cameras, transport engineers would like to compare the average number of accidents in junction A (with SC) and junction B (without SC). The number of accidents in 105 weeks in two junctions are provided below. 6 7+ Number of Accidents 0 1 2 3 4 5 Observed frequency 40 20 15 16 10 3 1 0 Number of Accidents 0 1 2 3 4 5 6 7+ Junction B without SC Observed frequency 25 24 18 15 18 41 0 Junction A with SC Test the average number of accidents per week in junctions A and B are same at the 5% significance level.

Chapter 2 Solutions

Elementary Statistics (13th Edition)

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Ch. 2.1 - Constructing Frequency Distributions. In Exercises...Ch. 2.1 - Constructing Frequency Distributions. In Exercises...Ch. 2.1 - Constructing Frequency Distributions. In Exercises...Ch. 2.1 - Burger King Dinner Service Times Refer to Data Set...Ch. 2.1 - Wendys Lunch Service Times Refer to Data Set 25...Ch. 2.1 - Wendys Dinner Service Times Refer to Data Set 25...Ch. 2.1 - Analysis of Last Digits Heights of statistics...Ch. 2.1 - Analysis of Last Digits Weights of respondents...Ch. 2.1 - Oscar Winners Construct one table (similar to...Ch. 2.1 - Blood Platelet Counts Construct one table (similar...Ch. 2.1 - Cumulative Frequency Distributions. In Exercises...Ch. 2.1 - Cumulative Frequency Distributions. In Exercises...Ch. 2.1 - Categorical Data. In Exercises 23 and 24, use the...Ch. 2.1 - Categorical Data. In Exercises 23 and 24, use the...Ch. 2.1 - Large Data Sets. Exercises 2528 involve large sets...Ch. 2.1 - Large Data Sets. 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In Exercises 9 and 10,...Ch. 2.3 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.3 - Pareto Charts. In Exercises 11 and 12 construct...Ch. 2.3 - Pareto Charts. In Exercises 11 and 12 construct...Ch. 2.3 - Pie Charts. In Exercises 13 and 14, construct the...Ch. 2.3 - Pie Charts. In Exercises 13 and 14, construct the...Ch. 2.3 - Frequency Polygon. In Exercises 15 and 16,...Ch. 2.3 - Frequency Polygon. In Exercises 15 and 16,...Ch. 2.3 - Self-Driving Vehicles In a survey of adults,...Ch. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Deceptive Graphs. 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In Exercises 5-8, use the sample data...Ch. 2.4 - Linear Correlation Coefficient In Exercises 9-12,...Ch. 2.4 - Linear Correlation Coefficient In Exercises 9-12,...Ch. 2.4 - Linear Correlation Coefficient In Exercises 9-12,...Ch. 2.4 - Using the data from Exercise 8 Heights of Fathers...Ch. 2.4 - Prob. 13BB Ch. 2.4 - P-Values In Exercises 13-16, write a statement...Ch. 2.4 - P-Values In Exercises 13-16, write a statement...Ch. 2.4 - P-Values In Exercises 13-16, write a statement...Ch. 2 - Cookies Refer to the accompanying frequency...Ch. 2 - Cookies Using the same frequency distribution from...Ch. 2 - Cookies Using the same frequency distribution from...Ch. 2 - Cookies A stemplot of the same cookies summarized...Ch. 2 - Computers As a quality control manager at Texas...Ch. 2 - Distribution of Wealth In recent years, there has...Ch. 2 - Health Test In an investigation of a relationship...Ch. 2 - Lottery In Floridas Play 4 lottery game, four...Ch. 2 - Seatbelts The Beams Seatbelts company...Ch. 2 - Seatbelts A histogram is to be constructed from...Ch. 2 - Frequency Distribution of Body Temperatures...Ch. 2 - Histogram of Body Temperatures Construct the...Ch. 2 - Dotplot of Body Temperatures Construct a dotplot...Ch. 2 - Stemplot of Body Temperatures Construct a stemplot...Ch. 2 - Body Temperatures Listed below are the...Ch. 2 - Environment a. 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Solution Summary: The author explains how to obtain the frequency distribution for the depths of earthquakes with a sample of 600 magnitudes.

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Chapter 2 Solutions