Answered: A husband and wife, Ted and Suzanne,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A husband and wife, Ted and
Suzanne, share a digital music player that has a feature
that randomly selects which song to play. A total of
3476 songs have been loaded into the player, some by Ted
and the rest by Suzanne. They are interested in determining
whether they have each loaded a different proportion of songs
into the player. Suppose that when the player was in the
random-selection mode, 22 of the first 30 songs selected were
songs loaded by Suzanne. Let p denote the proportion of songs
that were loaded by Suzanne. State the null and alternative
hypotheses to be tested. How strong is the evidence that Ted
and Suzanne have each loaded a different proportion of songs
into the player?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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