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 2.5, Problem 53E
Comparing z-Scores from Different Data Sets The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2016. The distributions of the ages are approximately bell-shaped. In Exercises 51–54, compare the z-scores for the actors.
Best actor | Best supporting actor |
μ ≈ 43.7 yr | μ ≈ 50.4 yr |
σ ≈ 8.7 yr | σ ≈ 13.8 yr |
53. Best Actor 1970: John Wayne, Age: 62
Best Supporting Actor 1970: Gig Young, Age: 56
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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? 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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. 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- Blood Pressure A sample of blood pressure measurements is taken from Data Set 1 “Body Data” in Appendix B, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement.arrow_forwardThe response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 54 A, 30 B, and 36 C. Show the frequency and relative frequency distributions (use 2 decimal for the relative frequency column). Frequency Class A B Relative Frequency C Totalarrow_forwardBlood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 6 adults. The following table presents the results. Systolic Diastolic 134 87 154 94 115 83 157 103 113 77 105 66 Send data to Excel The least-squares regression line y =b,+b,x=13.7694+0.5493x and E (x- x = 2459.3333 are known for these data. Construct a 99% confidence interval for the slope. Round the answers to at least four decimal places. The 99% confidence interval is < B, <arrow_forward
- The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor = 54.0 H= 46.0 o = 9.8 In a particular year, the Best Actor was 22 years old and the Best Supporting Actor was 57 years old. 6 = 15 Determine the z-scores for each. Best Actor: z = Best Supporting Actor: z = (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was V the mean, which V unusual. The Best Supporting Actor was V the mean, which V unusual.arrow_forwardHow to construct the frequency distributions? Write down the steps.arrow_forwardBlood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury, for a sample of 7 adults. The following table presents the results. Systolic Diastolic 115 83 133 91 154 94 119 69 123 77 112 75 157 103 Send data to Excel Compute the least-squares regression line for predicting diastolic pressure (y) from systolic pressure (x). Round the intermediate calculations to at least six decimal places. Round the slope and y-intercept values to at least four decimal places. Regression line equation: y = Save For Later Submit Assignment Check Answer Privacy Center © 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use 47°Farrow_forward
- The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped, Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor H=44.0 H=54.0 o=6.2 o=14 In a particular year, the Best Actor was 29 years old and the Best Supporting Actor was 59 years old. 排 Determine the z-scores for each. Best Actor Z = Best Supporting Actor z = (Round to two decimal places as needed.)arrow_forwardBlood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 6 adults. The following table presents the results. Systolic Diastolic 130 76 116 70 133 91 112 75 134 87 107 71 Send data to Excel The least-squares regression line y =b,+b,x=4.4261+0.6058x and E (x-x =690.0000 are known for this data. Use the critical value method to test Ho:B, =0 versus H, : B, >0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the a=0.05 level of significance. 1 Part: 0 / 4 Part 1 of 4 Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.arrow_forwardThe table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor µ= 42.0 µ= 51.0 o = 8.7 o = 12 In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 77 years old. Determine the z-scores for each. Best Actor: z %3D Best Supporting Actor: z = (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which unusual. The Best Supporting Actor was the mean, which unusual.arrow_forward
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