atistician wants to test for the equality of me rawn from normal populations of people enroll will not perform the equal-variance t-test of the means if the condition necessary for its use is n ost at the completion of the program data follor
atistician wants to test for the equality of me rawn from normal populations of people enroll will not perform the equal-variance t-test of the means if the condition necessary for its use is n ost at the completion of the program data follor
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
![22. A statistician wants to test for the equality of means in two independent samples
drawn from normal populations of people enrolled in a diet program. However, he
will not perform the equal-variance t-test of the difference between the population
means if the condition necessary for its use is not satisfied. The number of pound
lost at the completion of the program data follow:
Sample 1
Sample 2
7
2
9
25
6
9
15
15
7
10
10
18
8
5
12
22 27
3
Can the statistician conclude at the 5% significance level that the required condition is
not satisfied (i.e. the population variances differ)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ed2c783-41ee-4156-82bc-325ce490e43b%2F5c0cfa0d-c262-4266-b9f3-0dd14739c6be%2Fksfyz9e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:22. A statistician wants to test for the equality of means in two independent samples
drawn from normal populations of people enrolled in a diet program. However, he
will not perform the equal-variance t-test of the difference between the population
means if the condition necessary for its use is not satisfied. The number of pound
lost at the completion of the program data follow:
Sample 1
Sample 2
7
2
9
25
6
9
15
15
7
10
10
18
8
5
12
22 27
3
Can the statistician conclude at the 5% significance level that the required condition is
not satisfied (i.e. the population variances differ)?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Calculation of variances for each sample:
For sample 1:
sample size (n1) = 8
sample mean (x̄1) = Σx1 /n1 = 74/8=9.25
sample variance (s1)2 = Σ(x1-x̄1)2 /(n1-1) = 63.5000/(8-1) = 9.0714
For sample 2:
sample size (n2) = 10
sample mean (x̄2) = Σx2/n2 = 136/10 = 13.6
sample variance (s2)2 = Σ(x2-x̄2)2 /(n2-1) = 756.400/(10-1) = 84.0444
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