Parent perception 2.5 3 3 3.5 1.5 2 2 3 2.5 3 (hours/day) Difference (A P) 3.4 3.2 1.7 4.7 4.9 1.8 0.9 4.1 2.7 2.8

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Do the four steps: State, Plan, Do, Conclude.

Mean of Differences
C) Teenagers spend, on average, approximately 5 hours online every day. Do parents realize how many
hours their children are spending online? A family psychologist conducted a study to find out. A random
sample of 10 teenagers were selected. Each teenager was given a Chromebook and free internet for 6
months. During this time their internet usage was measured (in hours per day). At the end of the 6
months, the parents of each teenager were asked how many hours per day they think their child spent
online during this time frame. Here are the results. Construct and interpret a 90% confidence interval
for the true mean difference (A – P) in time spent online.
Teenager
1
2
4
7
8
9
Actual time spent
online (hours/day)
5.9
6.2
4.7
8.2
6.4
3.8
2.9
7.1
5.2
5.8
Parent perception
(hours/day)
2.5
3
3.5
1.5
2
3
2.5
3
Difference (A – P)
3.4
3.2
1.7
4.7
4.9
1.8
0.9
4.1
2.7
2.8
10
Transcribed Image Text:Mean of Differences C) Teenagers spend, on average, approximately 5 hours online every day. Do parents realize how many hours their children are spending online? A family psychologist conducted a study to find out. A random sample of 10 teenagers were selected. Each teenager was given a Chromebook and free internet for 6 months. During this time their internet usage was measured (in hours per day). At the end of the 6 months, the parents of each teenager were asked how many hours per day they think their child spent online during this time frame. Here are the results. Construct and interpret a 90% confidence interval for the true mean difference (A – P) in time spent online. Teenager 1 2 4 7 8 9 Actual time spent online (hours/day) 5.9 6.2 4.7 8.2 6.4 3.8 2.9 7.1 5.2 5.8 Parent perception (hours/day) 2.5 3 3.5 1.5 2 3 2.5 3 Difference (A – P) 3.4 3.2 1.7 4.7 4.9 1.8 0.9 4.1 2.7 2.8 10
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