Pearson eText for Essentials of Statistics -- Instant Access (Pearson+)

6th Edition

ISBN: 9780137517374

Author: Mario Triola

Publisher: PEARSON+

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Textbook Question

Chapter 6.2, Problem 32BSC

Water Taxi Safety When a water taxi sank in Baltimore’s Inner Harbor, an investigation revealed that the safe passenger load for the water taxi was 3500 lb. It was also noted that the mean weight of a passenger was assumed to be 140 lb. Assume a “worst-case” scenario in which all of the passengers are adult men. Assume that weights of men are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb (based on Data Set 1 “Body Data” in Appendix B).

a. If one man is randomly selected, find the probability that he weighs less than 174 lb (the new value suggested by the National Transportation and Safety Board).

b. With a load limit of 3500 lb, how many male passengers are allowed if we assume a mean weight of 140 lb?

c. With a load limit of 3500 lb, how many male passengers are allowed if we assume the updated mean weight of 188.6 lb?

d. Why is it necessary to periodically review and revise the number of passengers that are allowed to board?

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 6.2, Problem 31BSC

Chapter 6.2, Problem 35BB

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Chapter 6 Solutions

Pearson eText for Essentials of Statistics -- Instant Access (Pearson+)

Ch. 6.1 - Normal Distribution Whats wrong with the following...Ch. 6.1 - Normal Distribution A normal distribution is...Ch. 6.1 - Standard Normal Distribution Identify the two...Ch. 6.1 - Notation What does the notation z indicate?Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Continuous Uniform Distribution. In Exercises 58,...Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...Ch. 6.1 - Standard Normal Distribution. In Exercises 912,...

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Solution Summary: The author explains that the probability of a randomly selected man weighing less than 174 lb is 0.3520. The number of male passengers allowed in the water taxi is 25.

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