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Problem #6: An observational study of Alzheimer's disease (AD) obtained data from 14 AD patients exhibiting moderate dementia and selected a group of 10 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. sd 6.59 12.99 Variable Mean Minimum Q1 Median 03 Маximum n Alzheimers 14 72.68 77.00 79.25 87.00 92.25 93.00 Control 10 65.56 54.00 56.00 65.00 82.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. (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? (A) Ho : 412 42 (B) Họ : µ1 = µ2 (C) Họ : 41> µ2 (D) Họ : µ1 <µ2 (E) Ho:H1# 42 (F) Ho : µ1 s42 Problem #6(a): Select v null hypothesis Problem #6(b): test statistic (correct to 3 decimals) Problem #6(c): critical value (correct to 3 decimals) (A) Do not reject Họ since the absolue value of the answer in (b) is greater than the answer in (c). (B) Reject Ho since the absolue value of the answer in (b) is greater than the answer in (c). (C) Reject Ho since the p-value is equal to 0.0559 which is greater than .05. (D) Do not reject Họ since the absolue value of the answer in (b) is less than the answer in (c). (E) Reject Ho since the absolue value of the answer in (b) is less than the answer in (c).

Problem #6: An observational study of Alzheimer's disease (AD) obtained data from 14 AD patients exhibiting moderate dementia and selected a group of 10 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. sd 6.59 12.99 Variable Mean Minimum Q1 Median 03 Маximum n Alzheimers 14 72.68 77.00 79.25 87.00 92.25 93.00 Control 10 65.56 54.00 56.00 65.00 82.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. (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? (A) Ho : 412 42 (B) Họ : µ1 = µ2 (C) Họ : 41> µ2 (D) Họ : µ1 <µ2 (E) Ho:H1# 42 (F) Ho : µ1 s42 Problem #6(a): Select v null hypothesis Problem #6(b): test statistic (correct to 3 decimals) Problem #6(c): critical value (correct to 3 decimals) (A) Do not reject Họ since the absolue value of the answer in (b) is greater than the answer in (c). (B) Reject Ho since the absolue value of the answer in (b) is greater than the answer in (c). (C) Reject Ho since the p-value is equal to 0.0559 which is greater than .05. (D) Do not reject Họ since the absolue value of the answer in (b) is less than the answer in (c). (E) Reject Ho since the absolue value of the answer in (b) is less than the answer in (c).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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Problem #6: An observational study of Alzheimer's disease (AD) obtained data from 14 AD patients exhibiting moderate dementia and selected a group of 10 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. Variable Mean 72.68 sd Minimum Q1 Median Q3 Maximum Alzheimers 14 6.59 77.00 79.25 87.00 92.25 93.00 Control 10 65.56 12.99 54.00 56.00 65.00 82.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. (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? (A) Ho : 41 2 42 (B) Họ : 41 = 42 (C) Ho : µ1 > µ2 (D) Họ : µ1 < µ2 (E) Ho : 41 # 42 (F) H9 : µj s42 Problem #6(a): Select v null hypothesis Problem #6(b): test statistic (correct to 3 decimals) Problem #6(c): critical value (correct to 3 decimals) (A) Do not reject Họ since the absolue value of the answer in (b) is greater than the answer in (c). (B) Reject Ho since the absolue value of the answer in (b) is greater than the answer in (c). (C) Reject Ho since the p-value is equal to 0.0559 which is greater than .05. (D) Do not reject Họ since the absolue value of the answer in (b) is less than the answer in (c). (E) Reject Ho since the absolue value of the answer in (b) is less than the answer in (c). (F) Do not reject Họ since the p-value is equal to 0.1118 which is greater than .05. (G) Do not reject Họ since the p-value is equal to 0.0559 which is greater than .05. (H) Reject Ho since the p-value is equal to 0.1118 which is greater than .05.
Transcribed Image Text:Problem #6: An observational study of Alzheimer's disease (AD) obtained data from 14 AD patients exhibiting moderate dementia and selected a group of 10 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. Variable Mean 72.68 sd Minimum Q1 Median Q3 Maximum Alzheimers 14 6.59 77.00 79.25 87.00 92.25 93.00 Control 10 65.56 12.99 54.00 56.00 65.00 82.00 89.00 We want to test if the average age in the Alzheimer's group is significantly different than the control group. (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? (A) Ho : 41 2 42 (B) Họ : 41 = 42 (C) Ho : µ1 > µ2 (D) Họ : µ1 < µ2 (E) Ho : 41 # 42 (F) H9 : µj s42 Problem #6(a): Select v null hypothesis Problem #6(b): test statistic (correct to 3 decimals) Problem #6(c): critical value (correct to 3 decimals) (A) Do not reject Họ since the absolue value of the answer in (b) is greater than the answer in (c). (B) Reject Ho since the absolue value of the answer in (b) is greater than the answer in (c). (C) Reject Ho since the p-value is equal to 0.0559 which is greater than .05. (D) Do not reject Họ since the absolue value of the answer in (b) is less than the answer in (c). (E) Reject Ho since the absolue value of the answer in (b) is less than the answer in (c). (F) Do not reject Họ since the p-value is equal to 0.1118 which is greater than .05. (G) Do not reject Họ since the p-value is equal to 0.0559 which is greater than .05. (H) Reject Ho since the p-value is equal to 0.1118 which is greater than .05.
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