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 New Treatment 14 5.7 9 11.5 10 7 7.5 8 9.9 10.5 Test whether there is a difference in the two treatments at 5% level of significance. What would be the conclusion if we had wrongly ignored the pairing?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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
| New Treatment
8.5 10.6 12.5 6.5 8.4 10.5 8 10
7 7.5 8 9.9 10.5
14
5.7 9 11.5
10
Test whether there is a difference in the two treatments at 5% level of significance.
What would be the conclusion if we had wrongly ignored the pairing?
Transcribed Image Text: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 | New Treatment 8.5 10.6 12.5 6.5 8.4 10.5 8 10 7 7.5 8 9.9 10.5 14 5.7 9 11.5 10 Test whether there is a difference in the two treatments at 5% level of significance. What would be the conclusion if we had wrongly ignored the pairing?
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