Top Posters
Since Sunday
p
36
33
C
18
I
13
n
13
a
12
11
C
11
s
11
11
m
11
10
New Topic  
wrote...
Posts: 204
2 weeks ago
Too much TV? A father is concerned that his teenage son is watching too much television each day, since his son watches an average of 2 hours per day. His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that he can actually test to see whether or not his son is watching more TV than his peers. The father collects a random sample of television watching times from boys at his son's high school and gets the following data:

1.9    2.3    2.2    1.9    1.6    2.6    1.4    2.0    2.0    2.2

Is the father right? That is, is there evidence that other boys average less than 2 hours of television per day? Conduct a hypothesis test, making sure to state your conclusions in the context of the problem.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
Read 44 times
1 Reply
Replies
Answer verified by a subject expert
wrote...
Posts: 269
2 weeks ago
Sign in or Sign up in seconds to unlock everything.
H0: μ = 2.0 hoursHA: μ < 2.0 hours
Conditions:
* Randomization condition: Boys from the high school were randomly sampled.
* 10% condition: The sample is less than 10% of all boys at the high school.
* Nearly Normal condition: The histogram of credit hours is unimodal and reasonably symmetric. This is close enough to Normal for our purposes.

Under these conditions, the sampling distribution of the mean can be modeled by Student's t with degrees of freedom: df = n - 1 = 10 - 1 = 9. We will use a one-sample t-test for the mean.
We know: n = 9, = 2.01 , and s = 0.3446.  So, SE() = = 0.109.
t = = = 0.092.  The P-value is P(t9 < 0.092) = 0.536.
The P-value of 0.536 is high, so I fail to reject the null hypothesis. There is no evidence that the son is watching more TV, on average, than his peers.
This verified answer contains over 4470 words.
1

Related Topics

New Topic      
Explore
Post your homework questions and get free online help from our incredible volunteers.
Learn More
Improve Grades
Help Others
Save Time
Accessible 24/7
  153 People Browsing
Related Images
 1192
 431
 3001