A study used x-ray computed tomography (CT) to collect data on brain volumes for a group of patients with obsessive-compulsive disorders and a control group of healthy persons. Sample results (in mL) are given below for total brain volumes. Use a 0.05 significance level to test the claim that there is no difference between the mean for obsessive-compulsive patients and the mean for healthy persons. Obsessive-compulsive patients: n = 10, x overbar equals 1390.03 , s = 156.84 Control group: n = 10, x overbar equals 1275.94 , s = 137.97 a. Define the parameters A. mu 1 equals The mean brain volume of all obsessive-compulsive people mu 2 equals The mean brain volume of all healthy persons B. mu 1 equals The mean test score of all obsessive-compulsive people mu 2 equals The mean test score of all healthy persons C. mu 1 equals The mean brain volume of 10 obsessive-compulsive patients mu 2 equals The mean brain volume of 10 healthy persons D. p 1 equals The proportion of all people with obsessive-compulsive disorders p 2 equals The proportion of all people who are healthy b. State the null and alternative hypotheses A. Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 greater than mu 2 B. Upper H 0 : mu 1 equals 1390.03 Upper H 1 : mu 2 equals 1275.94 C. Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 less than mu 2 D. Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 not equals mu 2 c. Calculate the P-value. Which of these options is closest to its value? A. 0.1029
A study used x-ray computed tomography (CT) to collect data on brain volumes for a group of patients with obsessive-compulsive disorders and a control group of healthy persons. Sample results (in mL) are given below for total brain volumes. Use a 0.05 significance level to test the claim that there is no difference between the mean for obsessive-compulsive patients and the mean for healthy persons. Obsessive-compulsive patients: n = 10, x overbar equals 1390.03 , s = 156.84 Control group: n = 10, x overbar equals 1275.94 , s = 137.97 a. Define the parameters A. mu 1 equals The mean brain volume of all obsessive-compulsive people mu 2 equals The mean brain volume of all healthy persons B. mu 1 equals The mean test score of all obsessive-compulsive people mu 2 equals The mean test score of all healthy persons C. mu 1 equals The mean brain volume of 10 obsessive-compulsive patients mu 2 equals The mean brain volume of 10 healthy persons D. p 1 equals The proportion of all people with obsessive-compulsive disorders p 2 equals The proportion of all people who are healthy b. State the null and alternative hypotheses A. Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 greater than mu 2 B. Upper H 0 : mu 1 equals 1390.03 Upper H 1 : mu 2 equals 1275.94 C. Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 less than mu 2 D. Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 not equals mu 2 c. Calculate the P-value. Which of these options is closest to its value? A. 0.1029
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
Related questions
Topic Video
Question
100%
A study used x-ray computed tomography (CT) to collect data on brain volumes for a group of patients with obsessive-compulsive disorders and a control group of healthy persons. Sample results (in mL) are given below for total brain volumes. Use a 0.05 significance level to test the claim that there is no difference between the mean for obsessive-compulsive patients and the mean for healthy persons.
Obsessive-compulsive patients: n = 10,
x overbar equals
1390.03
,
s = 156.84 Control group: n = 10,
x overbar equals
1275.94
,
s = 137.97a. Define the parameters
A.
mu 1 equals
mu 2 equals
B.
mu 1 equals
mu 2 equals
C.
mu 1 equals
mu 2 equals
D.
p 1 equals
p 2 equals
b. State the null and alternative hypotheses
A.
Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 greater than mu 2
B.
Upper H 0 : mu 1 equals
1390.03
Upper H 1 : mu 2 equals
1275.94
C.
Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 less than mu 2
D.
Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 not equals mu 2
c. Calculate the P-value. Which of these options is closest to its value?
A.
0.1029
B.
0.1151
C.
0.0917
D.
0.1015
d. State the technical conclusion
A.
Do not reject Upper H 0
B.
Reject Upper H 0
e. State the final conclusion
A.
There is not sufficient evidence to warrant rejection of the claim.
B.
There is sufficient evidence to warrant rejection of the claim.
C.
There is not sufficient sample evidence to support the claim.
D.
The sample data support the claim.
f. Does it appear that the total brain volume can be used as an indicator of obsessive-compulsive disorders?
A.
No
B.
Yes
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill