Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134494043
Author: Jeff Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 4.3, Problem 6E
Does It Make Sense? For Exercises 5–8, determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these statements have definitive answers, so your explanation is more important than your chosen answer.
- 6.
Range versus Standard Deviation. I examined the data carefully, and the standard deviation was greater than the range.
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Students have asked these similar questions
Q2. Find the standard deviation for the data: 5,10,7,12,0,20 ?
Lisa took 4 courses last semester: Physics, Biology, History, and Calculus. The means and standard deviations for the final exams, and
Lisa's scores are given in the table below. Convert Lisa's scores into z-scores.
Lisa's z-score
Subject Mean Stand. dev. Lisa's score
Physics 60
56.5
Biology 77
82
History 53
Calculus 70
14
10
16
12
53
82
On what exam did Lisa have the highest relative score?
(Enter the subject.)
Use the data 2, 3, 3, 6, 6, 7. Add 2 to each of the numbers. How does this affect the mean? How does this affect the standard deviation?
Choose the correct answer below.
O A. The standard deviation will be increased by 2, and the mean will remain the same.
O B. The mean will be increased by 2, and the standard deviation will remain the same.
O C. Both of the mean and the standard deviation will remain the same.
O D. Both of the mean and the standard deviation will be increased.
Chapter 4 Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Ch. 4.1 - Average. Define and distinguish among mean,...Ch. 4.1 - Outliers. What are outliers? Describe the effects...Ch. 4.1 - Average Confusion. Briefly describe at least two...Ch. 4.1 - Weighting. What is a weighted mean, and when is it...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Mode. In an analysis of salaries paid to sales...Ch. 4.1 - Employment Data. A survey asked people their...Ch. 4.1 - Mean Wage. To find the mean wage of restaurant...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...
Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...Ch. 4.1 - Cell Phone Radiation. Listed below are...Ch. 4.1 - Alphabetic States. The states of Alabama, Alaska,...Ch. 4.1 - Outlier Coke. The contents of cans of regular...Ch. 4.1 - Raising Your Grade. Suppose you have scores of 80,...Ch. 4.1 - Raising Your Grade. Suppose you have scores of 60,...Ch. 4.1 - Comparing Data. In Exercises 2225, find the mean...Ch. 4.1 - Comparing Data. In Exercises 2225, find the mean...Ch. 4.1 - Comparing Data. In Exercises 2225, find the mean...Ch. 4.1 - Prob. 25ECh. 4.1 - Weighted Mean. Compute the weighte means in...Ch. 4.1 - Class Grade. Ryan is taking an advanced math class...Ch. 4.1 - GPA. One common system for computing a grade point...Ch. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - 31. Stockholder Voting. A small company has six...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - Weighted Mean. In Exercises 3235, find the mean of...Ch. 4.1 - U.S. Population Center. Imagine taking a huge flat...Ch. 4.2 - Modes. Distinguish between a uniform distribution...Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Does It Make Sense? For Exercises 58, determine...Ch. 4.2 - Does It Make Sense? For Exercises 58, determine...Ch. 4.2 - Does It Make Sense? For Exercises 58, determine...Ch. 4.2 - Prob. 9ECh. 4.2 - Distributions. In Exercises 912, describe the...Ch. 4.2 - Distributions. In Exercises 912, describe the...Ch. 4.2 - Distributions. In Exercises 912, describe the...Ch. 4.2 - Baseball Salaries. In a recent year, the 868...Ch. 4.2 - Boston Rainfall. The daily rainfall amounts (in...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.2 - Describing Distributions. For each distribution...Ch. 4.3 - Variation Matters. Consider two grocery stores at...Ch. 4.3 - Variation Measures. Briefly distinguish between...Ch. 4.3 - Quartiles and Percentiles. Briefly describe how...Ch. 4.3 - Standard Deviation. Describe the process of...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Does It Make Sense? For Exercises 58, determine...Ch. 4.3 - Prob. 9ECh. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Range and Standard Deviation. Exercises 916 each...Ch. 4.3 - Prob. 17ECh. 4.3 - Comparing Variation. In Exercises 1720, find the...Ch. 4.3 - Prob. 19ECh. 4.3 - Comparing Variation. In Exercises 1720, find the...Ch. 4.3 - Calculating Percentiles. A statistics professor...Ch. 4.3 - Calculating Percentiles. A data set consists of...Ch. 4.3 - Understanding Standard Deviation. The following...Ch. 4.3 - Understanding Standard Deviation. The following...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Comparing Data Sets. For each of Exercises 2528,...Ch. 4.3 - Manufacturing. You are in charge of a...Ch. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.4 - False Positive and False Negative. Professional...Ch. 4.4 - Positive Test Result. A professional soccer player...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Does It Make Sense? For Exercises 58, determine...Ch. 4.4 - Prob. 9ECh. 4.4 - Passing Percentages. The table below shows the...Ch. 4.4 - Test Scores. The table below shows eighth-grade...Ch. 4.4 - Test Scores. Consider the following table...Ch. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Basketball Records. Consider the following...Ch. 4.4 - Better Drug. Two drugs, A and B, were tested on a...Ch. 4.4 - Prob. 17ECh. 4.4 - Disease Test. Suppose a test for a disease is 80%...Ch. 4.4 - Prob. 19ECh. 4.4 - Drug Trials. (This problem is based on an example...Ch. 4.4 - HIV Risks. The New York State Department of Health...Ch. 4 - Chocolate Chips. Listed below are counts of the...Ch. 4 - Prob. 2CRECh. 4 - a. What is the standard deviation for a data set...Ch. 4 - When you add the earthquake magnitudes 2.45, 3.62,...Ch. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - A histogram is constructed for a large set of...Ch. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Identify the names of the components that...
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- Mary took 4 courses last semester: Calculus, Physics, Biology, and History. The means and standard deviations for the final exams, and Mary's scores are given in the table below. Convert Mary's score into z scores. Stand. Mary's Subject Mean Mary's z score dev. Score Calculus 70 12 85 Physics 60 14 46 Biology 77 10 72 History 53 16 53 On what exam did Mary have the highest relative score? (Enter the subject.) In the Calculus class, there was a student with a z- score of -0.9. What score did that student earn on the exam?arrow_forwardUse the data 2, 3, 3, 6, 6, 7. Add 3 to each of the numbers. How does this affect the mean? How does this affect the standard deviation? Choose the correct answer below. .……. OA. Both of the mean and the standard deviation will be increased. OB. The standard deviation will be increased by 3, and the mean will remain the same. OC. Both of the mean and the standard deviation will remain the same. O D. The mean will be increased by 3, and the standard deviation will remain the same.arrow_forwardSam took 4 courses last semester: Spanish, Physics, Biology, and Calculus. The means and standard deviations for the final exams, and Sam's scores are given in the table below. Convert Sam's score into z scores. Subject Mean Stand. dev. Sam's score Sam's z score Spanish 44 12 47 Physics 60 14 84.5 Biology 77 10 82 Calculus 70 12 79 On what exam did Sam have the highest relative score?(Enter the subject.) In the Biology class, there was a student with a z-score of 1.2. What score did that student earn on the exam?arrow_forward
- Mary took 4 courses last semester: Biology, Calculus, Spanish, and History. The means and standard deviations for the final exams, and Mary's scores are given in the table below. Convert Mary's score into z scores. Subject Mean Stand. dev. Mary's score Mary's z score Biology 77 10 77 Calculus 70 12 67 Spanish 44 12 50 History 53 16 37 On what exam did Mary have the highest relative score?(Enter the subject.) In the Spanish class, there was a student with a z-score of 0.6. What score did that student earn on the exam?arrow_forwardPls solvearrow_forwardPlease type the solutionarrow_forward
- Instruction: Solve the following Problems: 1. The mean score and the standard score in the Statistics test are respectively equal to 80 and 2.5, whereas in the Mathematics test they are respectively equal to 70 and 2. If Beth got a score of 85 in statistics and a score of 75 in Mathematics, in which subject is her standing better assuming normality in both subjects? 2. In an English test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally distributed, what percent of the score isa. Greater than 65?b. Less than 70?c. Between 50 and 65?arrow_forwardIQ tests supposedly measure our intelligence. They typically are ‘normed’ so that they have a mean of 100 and a standard deviation of 15. (Higher scores show higher intelligence.) Use the graph and use the z-score and percents from columns b and c in Table A, when relevant. If you scored 132, what is your z-score? (Interpret.) Use table A X, z(a), (b), and (c) X z (a) (b) (c) and use the graph! Write down or save your response to use in Part 2 of this quiz. Group of answer choices -2.53 z. I'm at the 98.34 percentile rank and 1.66% of people scored smarter than me. 2.13 z. I'm at the 98.34 percentile rank and 1.66% of people scored smarter than me. -2.13 z. I'm at the 1.66 percentile rank and 98.34% of people scored smarter than me. 2.53 z. I'm at the 0.57 percentile rank and 99.43% of people scored smarter than me. 2.13 z. I'm at the 1.66 percentile rank and 98.34% of people scored smarter than me. 2.53 z. I'm at the 99.43 percentile rank…arrow_forwardJ 2 i just need an examplearrow_forward
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