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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 5.3, Problem 16E

Weights. In Exercises 13–16, assume that weights of adult females are normally distributed with a mean of 78 kg and a standard deviation of 21 kg (approximate values based on data from the National Health and Nutrition Examination Survey).

16. What percentage of individual adult females have weights between 74 kg and 80 kg? If samples of 36 adult females are randomly selected and the mean weight is computed for each sample, what percentage of sample means is between 74 kg and 80 kg?

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 5.3, Problem 15E

Chapter 5.3, Problem 17E

Chapter 5 Solutions

Statistical Reasoning for Everyday Life (5th Edition)

Ch. 5.1 - Normal Distribution. When we refer to a normal...Ch. 5.1 - Normal Shape. Draw a rough sketch of a normal...Ch. 5.1 - Area Under the Curve. What does the area under the...Ch. 5.1 - Normal Conditions. Briefly describe the four...Ch. 5.1 - Does It Make Sense? For Exercises 58, determine...Ch. 5.1 - Does It Make Sense? For Exercises 58, determine...Ch. 5.1 - Does It Make Sense? For Exercises 58, determine...Ch. 5.1 - Does It Make Sense? For Exercises 58, determine...Ch. 5.1 - What Is Normal? Identify the distribution in...Ch. 5.1 - What Is Normal? Identify the distribution in...

Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Normal Distributions. For each of the data sets in...Ch. 5.1 - Body Temperature. Figure 5.8 shows a histogram for...Ch. 5.1 - Cotinine. The amount of nicotine absorbed by the...Ch. 5.1 - Departure Delay Times. Figure 5.10 on the next...Ch. 5.1 - MM Weights. Figure 5.11 shows a histogram for the...Ch. 5.1 - Areas and Relative Frequencies. Consider the graph...Ch. 5.1 - Areas and Relative Frequencies. Consider the graph...Ch. 5.1 - Estimating Areas. Consider the graph of the normal...Ch. 5.1 - Prob. 26E Ch. 5.2 - The 68-95-99.7 Rule. What is the 68-95-99.7 rule...Ch. 5.2 - Applying the 68-95-99.7 Rule. For a normal...Ch. 5.2 - Standard Score. What is a standard score? How do...Ch. 5.2 - Percentiles. What is a percentile? Describe how...Ch. 5.2 - Does It Make Sense? For Exercises 58, determine...Ch. 5.2 - Does It Make Sense? For Exercises 58, determine...Ch. 5.2 - Does It Make Sense? For Exercises 58, determine...Ch. 5.2 - Does It Make Sense? For Exercises 58, determine...Ch. 5.2 - Using the 68-95-99.7 Rule. A test of depth...Ch. 5.2 - Using the 68-95-99.7 Rule. Pulse rates for adult...Ch. 5.2 - Applying the 68-95-99.7 Rule. In a study of facial...Ch. 5.2 - Applying the 68-95-99.7 Rule. Adult males have...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - IQ Scores. For Exercises 1324, sketch the normal...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Heights of Males. For Exercises 2536, sketch the...Ch. 5.2 - Coin Weights. Consider the following table,...Ch. 5.2 - Pregnancy Lengths. Lengths of pregnancies are...Ch. 5.2 - SAT Scores. Based on data from the College Board,...Ch. 5.2 - GRE Scores. Assume that the scores on the Graduate...Ch. 5.2 - Body Temperatures. Assume that body temperatures...Ch. 5.2 - Spelling Bee Scores. At the district spelling bee,...Ch. 5.2 - Being a Marine. Heights of adult American males...Ch. 5.2 - Prob. 44E Ch. 5.3 - Distribution of Means. What is a distribution of...Ch. 5.3 - Notation. This section includes formulas using the...Ch. 5.3 - Central Limit Theorem. What is the Central Limit...Ch. 5.3 - Central Limit Theorem. Briefly explain a major...Ch. 5.3 - Prob. 5E Ch. 5.3 - Does It Make Sense? For Exercises 58, determine...Ch. 5.3 - Does It Make Sense? For Exercises 58, determine...Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Weights. Weights of adult males are normally...Ch. 5.3 - Twelve-Sided Dice and the Central Limit Theorem....Ch. 5.3 - Ten-Sided Dice and the Central Limit Theorem....Ch. 5.3 - Weights. In Exercises 1316, assume that weights of...Ch. 5.3 - Weights. In Exercises 1316, assume that weights of...Ch. 5.3 - Weights. In Exercises 1316, assume that weights of...Ch. 5.3 - Weights. In Exercises 1316, assume that weights of...Ch. 5.3 - Amounts of Cola. Assume that cans of cola are...Ch. 5.3 - Designing Strobe Lights. An aircraft strobe light...Ch. 5.3 - Designing Motorcycle Helmets. Engineers must...Ch. 5.3 - Redesign of Ejection Seats. When women first...Ch. 5.3 - Prob. 21E Ch. 5.3 - Vending Machines. Currently, quarters have weights...Ch. 5.3 - Aircraft Safety Standards. Federal Aviation...Ch. 5.3 - Prob. 24E Ch. 5 - For each of the following situations, state...Ch. 5 - Women have head circumferences that are normally...Ch. 5 - Assume that body temperatures of healthy adults...Ch. 5 - Which of the following statements are correct? a....Ch. 5 - Which of the following is likely to have a...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...Ch. 5 - Pulse Rates. In Exercises 310, assume that pulse...

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Solution Summary: The author explains that the percentage of individual adult females have weights between 74 and 80 kg is 11.51% and 58.86%.

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Chapter 5 Solutions