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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Topic Video
Question

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
 
 
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning