Statistics for Business and Economics (13th Edition)

13th Edition

ISBN: 9780134506593

Author: James T. McClave, P. George Benson, Terry Sincich

Publisher: PEARSON

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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 6.3, Problem 6.37ACI

Minimizing tractor skidding distance. When planning for a new forest road to be used for tree harvesting, planners must select the location to minimize tractor skidding distance. In the Journal of Forest Engineering (July 1999), researchers wanted to estimate the true mean skidding distance along a new road in a European forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. These values are given in the accompanying table.

a. Estimate the true mean skidding distance for the road with a 95% confidence interval.
b. Give a practical interpretation of the interval, part a.
c. What conditions are required for the inference, part b, to be valid? Are these conditions reasonably satisfied?
d. A logger working on the road claims the mean skidding distance is at least 425 meters. Do you agree?

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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 6.3, Problem 6.36ACI

Chapter 6.3, Problem 6.38ACI

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Chapter 6 Solutions

Statistics for Business and Economics (13th Edition)

Ch. 6.2 - Find z/2 for each of the following: a. a . = .10...Ch. 6.2 - What is the confidence level of each of the...Ch. 6.2 - A random sample of n measurements was selected...Ch. 6.2 - A random sample of 90 observations produced a mean...Ch. 6.2 - A random sample of 70 observations from a normally...Ch. 6.2 - Use the applet Confidence Intervals for a Mean...Ch. 6.2 - Use the applet Confidence Intervals for a Mean...Ch. 6.2 - Prob. 6.6LM Ch. 6.2 - Explain the difference between an interval...Ch. 6.2 - Prob. 6.8LM

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488	350	457	199	285	409	435	574	439	546
385	295	184	261	273	400	311	312	141	425

488	350	457	199	285	409	435	574	439	546
385	295	184	261	273	400	311	312	141	425

Solution Summary: The author explains the 95% confidence interval for true mean skidding distance for the road using the MINITAB software.

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Chapter 6 Solutions

488	350	457	199	285	409	435	574	439	546
385	295	184	261	273	400	311	312	141	425