Introduction To Statistics And Data Analysis

6th Edition

ISBN: 9781337793612

Author: PECK, Roxy.

Publisher: Cengage Learning,

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Textbook Question

Chapter 8.2, Problem 11E

For which of the sample sizes given in the previous exercise would it be reasonable to think that the sampling distribution of x̄ is approximately normal in shape?

8.10 A random sample is selected from a population with mean μ = 100 and standard deviation σ ＝ 10. Determine the mean and standard deviation of the sampling distribution of x̄ for each of the following sample sizes:

a. n = 9
b. n = 15
c. n = 36
d. n = 50
e. n = 100
f. n = 400

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 8.2, Problem 10E

Chapter 8.2, Problem 12E

Chapter 8 Solutions

Introduction To Statistics And Data Analysis

Ch. 8.1 - Explain the difference between a population...Ch. 8.1 - What is the difference between x and ? Between s...Ch. 8.1 - For each of the following statements, identify the...Ch. 8.1 - Consider a population consisting of the following...Ch. 8.1 - Select 10 additional random samples of size 5 from...Ch. 8.1 - Consider the following population: {1, 2, 3, 4}....Ch. 8.1 - Consider the following population: {2, 3, 3, 4,...Ch. 8.2 - A random sample is selected from a population with...Ch. 8.2 - For which of the sample sizes given in the...Ch. 8.2 - Explain the difference between and x and between ...

Ch. 8.2 - Suppose that a random sample of size 64 is to be...Ch. 8.2 - The time that a randomly selected individual waits...Ch. 8.2 - Let x denote the time (in minutes) that it takes a...Ch. 8.2 - In the library on a university campus, there is a...Ch. 8.2 - Suppose that the mean value of interpupillary...Ch. 8.2 - Suppose that a sample of size 100 is to be drawn...Ch. 8.2 - A manufacturing process is designed to produce...Ch. 8.2 - College students with checking accounts typically...Ch. 8.2 - An airplane with room for 100 passengers has a...Ch. 8.2 - The thickness (in millimeters) of the coating...Ch. 8.3 - A random sample is to be selected from a...Ch. 8.3 - a. For which of the sample sizes given in the...Ch. 8.3 - The article Younger Adults More Likely than Their...Ch. 8.3 - The article referenced in the previous exercise...Ch. 8.3 - A certain chromosome defect occurs in only 1 in...Ch. 8.3 - The U.S. Census Bureau reported that in 2015, the...Ch. 8.3 - The article Fewer Americans Are Reading, But Dont...Ch. 8.3 - Suppose that a candidate for public office is...Ch. 8.3 - A manufacturer of computer printers purchases...Ch. 8 - The nicotine content in a single cigarette of a...Ch. 8 - Let x1, x2, , x100 denote the actual weights (in...Ch. 8 - Suppose that 20% of the subscribers of a cable...Ch. 8 - Water permeability of concrete can be measured by...Ch. 8 - Suppose that 40% of all U.S. employees contribute...Ch. 8 - The amount of money spent by a customer at a...

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Solution Summary: The author explains that for a sample size equal to or more than 30, the sampling distribution follows normal distribution approximately.

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