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Hick's Law (namd for psychologist William Edmund Hick) says that when people must make a choice from a set of options, the time it takes them increases logarithmically as the number of possible options increases. In particular, the law says that the time, T, it takes to make a choice can be modeled by the equation T = b. log2 (n + 1) where n represents the number of options from which to choose, and b is a constant number (related to factors such as the type of decision being made). Suppose a software program has a drop-down menu with 8 different command options, and suppose it takes a user 5 seconds to make their choice from the drop-down menu. What is the value of the constant b? Give your answer to the nearest hundredth. Answer:

Hick's Law (namd for psychologist William Edmund Hick) says that when people must make a choice from a set of options, the time it takes them increases logarithmically as the number of possible options increases. In particular, the law says that the time, T, it takes to make a choice can be modeled by the equation T = b. log2 (n + 1) where n represents the number of options from which to choose, and b is a constant number (related to factors such as the type of decision being made). Suppose a software program has a drop-down menu with 8 different command options, and suppose it takes a user 5 seconds to make their choice from the drop-down menu. What is the value of the constant b? Give your answer to the nearest hundredth. Answer:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Part 1 of 2 Hick's Law (namd for psychologist William Edmund Hick) says that when people must make a choice from a set of options, the time it takes them increases logarithmically as the number of possible options increases. In particular, the law says that the time, T, it takes to make a choice can be modeled by the equation T = b · log2(n + 1) where n represents the number of options from which to choose, and b is a constant number (related to factors such as the type of decision being made). Suppose a software program has a drop-down menu with 8 different command options, and suppose it takes a user 5 seconds to make their choice from the drop-down menu. What is the value of the constant b? Give your answer to the nearest hundredth. Answer:
Transcribed Image Text:Part 1 of 2 Hick's Law (namd for psychologist William Edmund Hick) says that when people must make a choice from a set of options, the time it takes them increases logarithmically as the number of possible options increases. In particular, the law says that the time, T, it takes to make a choice can be modeled by the equation T = b · log2(n + 1) where n represents the number of options from which to choose, and b is a constant number (related to factors such as the type of decision being made). Suppose a software program has a drop-down menu with 8 different command options, and suppose it takes a user 5 seconds to make their choice from the drop-down menu. What is the value of the constant b? Give your answer to the nearest hundredth. Answer:
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