Problem #3: An observational study of Alzheimer's disease (AD) obtained data from 15 AD patients exhibiting moderate dementia and selected a group of 11 control individuals without AD. AD is a progressive neurodegenerative disease of the elderly and advancing age is known to be a primary risk factor in AD diagnosis. Therefore, it was crucial for the study's credibility to examine whether the ages in the AD group might be significantly different than in the control group. The ages of the subjects in years are summarized in the R Output below. Descriptive Statistics: Alzheimers, Control Variable N N* Mean SE Mean StDev Minimum Alzheimers 15. 0 78.78 1.75 6.76 Control 3.87 12.82 11 0 66.54 01 Median 77.00 79.25 87.00 92.25 54.00 56.00 65.00 82.00 (a) What is the null hypothesis? (b) Find the value of the test statistic. (c) Find the 5% critical value. (d) What is the conclusion of the hypothesis test? Q3 Maximum 93.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. Assume that the populations are normal and that the population variances are not equal.
Problem #3: An observational study of Alzheimer's disease (AD) obtained data from 15 AD patients exhibiting moderate dementia and selected a group of 11 control individuals without AD. AD is a progressive neurodegenerative disease of the elderly and advancing age is known to be a primary risk factor in AD diagnosis. Therefore, it was crucial for the study's credibility to examine whether the ages in the AD group might be significantly different than in the control group. The ages of the subjects in years are summarized in the R Output below. Descriptive Statistics: Alzheimers, Control Variable N N* Mean SE Mean StDev Minimum Alzheimers 15. 0 78.78 1.75 6.76 Control 3.87 12.82 11 0 66.54 01 Median 77.00 79.25 87.00 92.25 54.00 56.00 65.00 82.00 (a) What is the null hypothesis? (b) Find the value of the test statistic. (c) Find the 5% critical value. (d) What is the conclusion of the hypothesis test? Q3 Maximum 93.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. Assume that the populations are normal and that the population variances are not equal.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Problem #3: An observational study of Alzheimer's disease (AD) obtained data from 15 AD patients exhibiting moderate
dementia and selected a group of 11 control individuals without AD. AD is a progressive neurodegenerative
disease of the elderly and advancing age is known to be a primary risk factor in AD diagnosis. Therefore, it was
crucial for the study's credibility to examine whether the ages in the AD group might be significantly different
than in the control group. The ages of the subjects in years are summarized in the R Output below.
Problem #3(b):
Descriptive Statistics: Alzheimers, Control
Variable N N* Mean SE Mean StDev Minimum
Alzheimers 15 0 78.78
1.75 6.76
Control
3.87 12.82
11 0 66.54
Problem #3(c):
We want to test if the average age in the Alzheimer's group is significantly different than the control group.
Assume that the populations are normal and that the population variances are not equal.
(a) What is the null hypothesis?
(b) Find the value of the test statistic.
(c) Find the 5% critical value.
(d) What is the conclusion of the hypothesis test?
Problem #3(a): Select null hypothesis
Q1 Median
Q3 Maximum
77.00 79.25 87.00 92.25
93.00
54.00 56.00 65.00 82.00 89.00
(A) Ho: M1 M2 (B) Ho: M1 M2 (C) Ho: M1 M2 (D) Ho: M122 (E) Ho: M1 M2 (F) Ho: M1 M2
test statistic (correct to 3 decimals)
critical value (correct to 3 decimals)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 14 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman