Difference between revisions of "EBook Problems ANOVA 1Way"

From SOCR
Jump to: navigation, search
(New page: == EBook Problems Set - One-Way ANOVA== ===Problem 1=== Jordan was shopping for a ping pong table at Sports Authority, a...)
 
m (Text replacement - "{{translate|pageName=http://wiki.stat.ucla.edu/socr/" to ""{{translate|pageName=http://wiki.socr.umich.edu/")
 
(3 intermediate revisions by one other user not shown)
Line 3: Line 3:
 
===Problem 1===
 
===Problem 1===
 
Jordan was shopping for a ping pong table at Sports Authority, and noticed that there were three tables all similarly priced. He wanted a table that could be taken apart quickly and easily, so he asked the salesman if he knew which one was the best in terms of ease of assembly and disassembly. For some reason, the salesman happened to have a table of the assembly times (sec) for the three tables. Using ANOVA, do you think there is a difference in the average time of assembly for the three brands of ping pong tables?
 
Jordan was shopping for a ping pong table at Sports Authority, and noticed that there were three tables all similarly priced. He wanted a table that could be taken apart quickly and easily, so he asked the salesman if he knew which one was the best in terms of ease of assembly and disassembly. For some reason, the salesman happened to have a table of the assembly times (sec) for the three tables. Using ANOVA, do you think there is a difference in the average time of assembly for the three brands of ping pong tables?
−
 
−
*Choose one answer.
 
  
 
{|border="1"
 
{|border="1"
Line 48: Line 46:
 
|190.0 || 3
 
|190.0 || 3
 
|}
 
|}
 +
 +
*Choose one answer.
  
 
:''(a) We can say that there is no reason to reject the null that the average assembly times are the same
 
:''(a) We can say that there is no reason to reject the null that the average assembly times are the same
Line 53: Line 53:
 
:''(b) We should reject the null that the average assembly times are the same
 
:''(b) We should reject the null that the average assembly times are the same
 
{{hidden|Answer|(b)}}
 
{{hidden|Answer|(b)}}
 +
 +
===Problem 2===
 +
Using the data in problem 1, what is the value for R-Square?
 +
 +
*Choose one answer.
 +
 +
:''(a) 0.342
 +
 +
:''(b) 0.143
 +
 +
:''(c) 0.832
 +
 +
:''(d) 0.943
 +
{{hidden|Answer|(d)}}
 +
 +
===Problem 3===
 +
One a certain section of Scripps Poway Parkway, a radar speed detector is set up. Officer H. Lee is curious to see if two-door vehicles drive faster on average than four-door vehicles. He parks behind a bush so as not to be seen, and records the car type and the speed reading. Here are the results (1 means two-door, and 2 means four-door):
 +
 +
{| border="1"
 +
|-
 +
|Speed (MPH) || Vehicle Type
 +
|-
 +
|45||2
 +
|-
 +
|45||2
 +
|-
 +
|40||2
 +
|-
 +
|69||1
 +
|-
 +
|72||1
 +
|-
 +
|40||1
 +
|-
 +
|75||2
 +
|-
 +
|19||2
 +
|-
 +
|62||1
 +
|-
 +
|43||2
 +
|-
 +
|75||1
 +
|-
 +
|42||2
 +
|-
 +
|58||1
 +
|-
 +
|58||1
 +
|-
 +
|47||2
 +
|-
 +
|48||2
 +
|-
 +
|49||2
 +
|-
 +
|45||2
 +
|-
 +
|54||2
 +
|}
 +
 +
At the 1% significance level, should we reject the null hypothesis that that average speed is the same for both types of vehicles?
 +
 +
*Choose one answer.
 +
 +
:''(a) Yes, we should reject the null hypothesis.
 +
 +
:''(b) No, we should not reject the null hypothesis.
 +
 +
:''(c) There is not enough information.
 +
{{hidden|Answer|(b)}}
 +
 +
===Problem 4===
 +
Using the same data as in problem 3, what is the value for R-Square?
 +
 +
*Choose one answer.
 +
 +
:''(a) 0.432
 +
 +
:''(b) 0.983
 +
 +
:''(c) 0.308
 +
 +
:''(d) 0.231
 +
{{hidden|Answer|(c)}}
 +
 +
<hr>
 +
* [[EBook | Back to Ebook]]
 +
* SOCR Home page: http://www.socr.ucla.edu
 +
 +
"{{translate|pageName=http://wiki.socr.umich.edu/index.php/EBook_Problems_ANOVA_1Way}}

Latest revision as of 13:13, 3 March 2020

EBook Problems Set - One-Way ANOVA

Problem 1

Jordan was shopping for a ping pong table at Sports Authority, and noticed that there were three tables all similarly priced. He wanted a table that could be taken apart quickly and easily, so he asked the salesman if he knew which one was the best in terms of ease of assembly and disassembly. For some reason, the salesman happened to have a table of the assembly times (sec) for the three tables. Using ANOVA, do you think there is a difference in the average time of assembly for the three brands of ping pong tables?

Assembly time (sec) Brand
93.0 1
67.0 1
77.0 1
92.0 1
97.0 1
62.0 1
136.0 2
120.0 2
115.0 2
104.0 2
115.0 2
121.0 2
102.0 2
130.0 2
198.0 3
217.0 3
209.0 3
221.0 3
190.0 3
  • Choose one answer.
(a) We can say that there is no reason to reject the null that the average assembly times are the same
(b) We should reject the null that the average assembly times are the same
Answer


Problem 2

Using the data in problem 1, what is the value for R-Square?

  • Choose one answer.
(a) 0.342
(b) 0.143
(c) 0.832
(d) 0.943
Answer


Problem 3

One a certain section of Scripps Poway Parkway, a radar speed detector is set up. Officer H. Lee is curious to see if two-door vehicles drive faster on average than four-door vehicles. He parks behind a bush so as not to be seen, and records the car type and the speed reading. Here are the results (1 means two-door, and 2 means four-door):

Speed (MPH) Vehicle Type
45 2
45 2
40 2
69 1
72 1
40 1
75 2
19 2
62 1
43 2
75 1
42 2
58 1
58 1
47 2
48 2
49 2
45 2
54 2

At the 1% significance level, should we reject the null hypothesis that that average speed is the same for both types of vehicles?

  • Choose one answer.
(a) Yes, we should reject the null hypothesis.
(b) No, we should not reject the null hypothesis.
(c) There is not enough information.
Answer


Problem 4

Using the same data as in problem 3, what is the value for R-Square?

  • Choose one answer.
(a) 0.432
(b) 0.983
(c) 0.308
(d) 0.231
Answer


"-----

Translate this page:

(default)
Uk flag.gif

Deutsch
De flag.gif

Español
Es flag.gif

Français
Fr flag.gif

Italiano
It flag.gif

Português
Pt flag.gif

日本語
Jp flag.gif

България
Bg flag.gif

الامارات العربية المتحدة
Ae flag.gif

Suomi
Fi flag.gif

इस भाषा में
In flag.gif

Norge
No flag.png

한국어
Kr flag.gif

中文
Cn flag.gif

繁体中文
Cn flag.gif

Русский
Ru flag.gif

Nederlands
Nl flag.gif

Ελληνικά
Gr flag.gif

Hrvatska
Hr flag.gif

Česká republika
Cz flag.gif

Danmark
Dk flag.gif

Polska
Pl flag.png

România
Ro flag.png

Sverige
Se flag.gif

Retrieved from "https://wiki.socr.umich.edu/index.php?title=EBook_Problems_ANOVA_1Way&oldid=16860"