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
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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)
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)
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