Weight before diet Weight one year later 159 236 181 161 178 250 155 234 173 161 170 250 The table above shows a random sample of 6 people's weights before they started a one month diet, and one year after they completed the diet. Test the claim that the mean weight decreased. Use a = 0.01.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
100%
• Question 12
<>
Weight before diet
Weight one year later
159
236
181
161
178
250
155
234
173
161
170
250
The table above shows a random sample of 6 people's weights before they started a one month diet, and
one year after they completed the diet.
Test the claim that the mean weight decreased. Use a = 0.01.
For correct grading, use d = before after.
1. The population distribution requirement for this test is:
O Need a normally distributed population
O None needed
The hypotheses are:
0 # Pri 0 = PrlO
0 > Prt :0 Z Prt O
O Ho:µ1 = 42; Ha:µ1 ± µz
Ο Ho: μι > μ Ha: μι < μ2
0< Prl :0 > Prt O
O Ho:41 < H2; Ha:µ1 > µ2
2. This is a O leftO rightO two tailed test and the test used is a:
O2-Sample T-Test (independent populations)
O2-Sample Z-Test (independent populations)
O Paired T-Test (dependent populations)
The Degrees of Freedom (If needed, use the simple estimate discussed in the notes, not the messy formula)
MacBook Air
F3
F4
F5
F6
>>
F7
F8
F9
F10
#3
24
4
&
6
8
Transcribed Image Text:• Question 12 <> Weight before diet Weight one year later 159 236 181 161 178 250 155 234 173 161 170 250 The table above shows a random sample of 6 people's weights before they started a one month diet, and one year after they completed the diet. Test the claim that the mean weight decreased. Use a = 0.01. For correct grading, use d = before after. 1. The population distribution requirement for this test is: O Need a normally distributed population O None needed The hypotheses are: 0 # Pri 0 = PrlO 0 > Prt :0 Z Prt O O Ho:µ1 = 42; Ha:µ1 ± µz Ο Ho: μι > μ Ha: μι < μ2 0< Prl :0 > Prt O O Ho:41 < H2; Ha:µ1 > µ2 2. This is a O leftO rightO two tailed test and the test used is a: O2-Sample T-Test (independent populations) O2-Sample Z-Test (independent populations) O Paired T-Test (dependent populations) The Degrees of Freedom (If needed, use the simple estimate discussed in the notes, not the messy formula) MacBook Air F3 F4 F5 F6 >> F7 F8 F9 F10 #3 24 4 & 6 8
The Degrees of Freedom (If needed, use the simple estimate discussed in the notes, not the messy formula)
are
06
05
ON/A; this is a Z-test
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:
4. The decision at a = 0.01 is:
O Do not reject Ho since P < a
O Reject Ho since P > a
O Do not reject Ho since P> a
O Reject Ho since P<a
The conclusion is:
O There is insufficient evidence to conclude that on average, weight decreased
O There is sufficient evidence to reject the claim that on average, weight decreased
O There is insufficient evidence to reject the claim that on average, weight decreased
O There is sufficient evidence to conclude that on average, weight decreased
Submit Question
MacBook Air
O00
O00
F4
F3
F5
F6
>>
F7
F8
F9
%23
24
&
4.
8
5
Transcribed Image Text:The Degrees of Freedom (If needed, use the simple estimate discussed in the notes, not the messy formula) are 06 05 ON/A; this is a Z-test 3. The STS (round to 3 decimals) is: The P-value (round to 4 decimals) is: 4. The decision at a = 0.01 is: O Do not reject Ho since P < a O Reject Ho since P > a O Do not reject Ho since P> a O Reject Ho since P<a The conclusion is: O There is insufficient evidence to conclude that on average, weight decreased O There is sufficient evidence to reject the claim that on average, weight decreased O There is insufficient evidence to reject the claim that on average, weight decreased O There is sufficient evidence to conclude that on average, weight decreased Submit Question MacBook Air O00 O00 F4 F3 F5 F6 >> F7 F8 F9 %23 24 & 4. 8 5
Expert Solution
steps

Step by step

Solved in 3 steps

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
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman