Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (5th Edition)

5th Edition

ISBN: 9780135990278

Author: Bennett, Jeffrey O., Briggs, William L., Triola, Mario F.

Publisher: PEARSON

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Textbook Question

Chapter 5.3, Problem 12E

Ten-Sided Dice and the Central Limit Theorem. Rolling a fair 10-sided die produces a uniformly distributed set of numbers between 1 and 10 with a mean of 5.5 and a standard deviation of 2.872. Assume that n such dice are rolled many times and the mean of the n outcomes is computed each time.

a. Find the mean and standard deviation of the resulting distribution of sample means for n = 400.
b. Find the mean and standard deviation of the resulting distribution of sample means for n = 49.
c. Why is the standard deviation in part (a) different from the standard deviation in part (b)?

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 11E

Chapter 5.3, Problem 13E

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Chapter 5 Solutions

Statistical Reasoning for Everyday Life Plus MyLab Statistics with Pearson eText -- 18 Week Access Card Package (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 calculates the mean and standard deviation of the distribution of sample means by using the Central Limit Theorem.

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