Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 6.1, Problem 51E

Paint Can Volumes A paint manufacturer uses a machine to fill gallon cans with paint (see figure). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.5 ounce. Assume the population of volumes is normally distributed.

(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.75 ounce.
(b) The sample mean is 127.75 ounces. With a sample size of 8, a 90% level of confidence, and a population standard deviation of 0.75 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain.

Chapter 6.1, Problem 51E, Paint Can Volumes A paint manufacturer uses a machine to fill gallon cans with paint (see figure).

FIGURE FOR EXERCISE 51

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 6.1, Problem 50E

Chapter 6.1, Problem 52E

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Chapter 6 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 6.1 - In Example 1, the researcher selects a second...Ch. 6.1 - Use the data in Try It Yourself 1 and a 95%...Ch. 6.1 - Use the data in Try It Yourself 1 to construct a...Ch. 6.1 - Use the data in Example 1 and technology to...Ch. 6.1 - Construct a 90% confidence interval for the...Ch. 6.1 - In Example 6, how many student-athletes must the...Ch. 6.1 - When estimating a population mean, are you more...Ch. 6.1 - Which statistic is the best unbiased estimator for...Ch. 6.1 - For the same sample statistics, which level of...Ch. 6.1 - You construct a 95% confidence interval for a...

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Solution Summary: The author calculates the minimum sample size n needed to estimate mu using the MINITAB software.

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