(a) Test whether there is a difference in the two treatments at 5% level of significance. [10] [5] (b) Find a 90% confidence interval for the mean difference in the treatments. (c) What would be the conclusion in (a) if we had wrongly ignored the pairing? [10]
(a) Test whether there is a difference in the two treatments at 5% level of significance. [10] [5] (b) Find a 90% confidence interval for the mean difference in the treatments. (c) What would be the conclusion in (a) if we had wrongly ignored the pairing? [10]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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question 5
![Question 5
Twenty patients sampled at random were matched by age
and BMI. One of each pair was assigned at random to a new treatment and the other to
an existing treatment. Ultrasound examination of a certain tumour weight (in grams)
produced the following results.
Existing Treatment 15.5 5 8.5 10.6 12.5 6.5 8.4 10.5 8 10
14 5.7 9 11.5 10 7
New Treatment
7.5
8 9.9 10.5
To answer the following questions, report the numerical computations to four decimal
places.
(a) Test whether there is a difference in the two treatments at 5% level of significance. [10]
(b) Find a 90% confidence interval for the mean difference in the treatments.
(c) What would be the conclusion in (a) if we had wrongly ignored the pairing? [10]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7db47cf6-299c-4bf8-b947-a674a0b8dee5%2F15f901b9-5b0a-4003-9d00-f2df61a43618%2Fbnykmf7_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5
Twenty patients sampled at random were matched by age
and BMI. One of each pair was assigned at random to a new treatment and the other to
an existing treatment. Ultrasound examination of a certain tumour weight (in grams)
produced the following results.
Existing Treatment 15.5 5 8.5 10.6 12.5 6.5 8.4 10.5 8 10
14 5.7 9 11.5 10 7
New Treatment
7.5
8 9.9 10.5
To answer the following questions, report the numerical computations to four decimal
places.
(a) Test whether there is a difference in the two treatments at 5% level of significance. [10]
(b) Find a 90% confidence interval for the mean difference in the treatments.
(c) What would be the conclusion in (a) if we had wrongly ignored the pairing? [10]
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