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Name: A toy manufacturer claims that the median amount of time that their to
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Description: A toy manufacturer claims that the median amount of time that their top selling toy captures children's attention is 30 minutes. To test this, a random sample of 19 children is selected and their attention span (in minutes) while playing with this to

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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A toy manufacturer claims that the median amount of time that their top selling toy captures children's attention is 30 minutes. To test this, a random sample of 19 children is selected and their attention span (in minutes) while playing with this toy is given below.

20.4, 26.1, 21.8, 25.4, 19.3, 34.9, 37.5, 26.3, 22.7, 24, 22.4, 38.9, 20.5, 30, 36.6, 23, 37, 24.7, 36.6

At the 0.02 level of significance, can we conclude (by using a sign test) that the median attention span for children playing with this toy differs from 30 minutes?

Perform this hypothesis test by completing the table below.

(If necessary, consult a table with critical values for the sign test.)

Value of test statistic:
Critical value:
Decision:	▼(Choose one)
Can we conclude that the median attention span for children playing with this toy differs from 30 minutes?	Yes	No

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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