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Martha believes that a relaxation technique involving visualization will help people with mild insomnia fall asleep faster. She randomly selects a sample of 20 participants from a group of mild insomnia patients and randomly assigns 10 to receive visualization therapy. The other 10 participants receive no treatment. Each participant then is measured how long (in minutes) it takes him or her to fall asleep. 2. Data: No Visualization treatment Treatment 22 19 18 17 27 24 20 21 23 27 26 21 22 23 24 18 27 19 22 22 a) Should you use an independent samples t-test or a related samples t-test? Explain your answer. b) Describe how Martha could have approached her question differently by using the design opposite to your answer in Q1. That is, if this is an independent samples design, how would The rest of the question is at the bottom with letter (C) Martha revise her study to do a related samples design? Or... if this is a related samples design, how would she revise the method to do an independent samples design? c) State the Ho and H3.

Martha believes that a relaxation technique involving visualization will help people with mild insomnia fall asleep faster. She randomly selects a sample of 20 participants from a group of mild insomnia patients and randomly assigns 10 to receive visualization therapy. The other 10 participants receive no treatment. Each participant then is measured how long (in minutes) it takes him or her to fall asleep. 2. Data: No Visualization treatment Treatment 22 19 18 17 27 24 20 21 23 27 26 21 22 23 24 18 27 19 22 22 a) Should you use an independent samples t-test or a related samples t-test? Explain your answer. b) Describe how Martha could have approached her question differently by using the design opposite to your answer in Q1. That is, if this is an independent samples design, how would The rest of the question is at the bottom with letter (C) Martha revise her study to do a related samples design? Or... if this is a related samples design, how would she revise the method to do an independent samples design? c) State the Ho and H3.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Martha believes that a relaxation technique involving visualization will help people with mild insomnia fall asleep faster. She randomly selects a sample of 20 participants from a group of mild insomnia patients and randomly assigns 10 to receive visualization therapy. The other 10 participants 2. receive no treatment. Each participant then is measured how long (in minutes) it takes him or her to fall asleep. Data: No Visualization treatment Treatment 22 19 18 17 27 24 20 21 23 27 26 21 22 23 24 18 27 19 22 22 a) Should you use an independent samples t-test or a related samples t-test? Explain your answer. b) Describe how Martha could have approached her question differently by using the design opposite to your answer in Q1. That is, if this is an independent samples design, how would The rest of the question is at the bottom with letter (C) Martha revise her study to do a related samples design? Or.. if this is a related samples design, how would she revise the method to do an independent samples design? c) State the Ho and Ha.
Transcribed Image Text:Martha believes that a relaxation technique involving visualization will help people with mild insomnia fall asleep faster. She randomly selects a sample of 20 participants from a group of mild insomnia patients and randomly assigns 10 to receive visualization therapy. The other 10 participants 2. receive no treatment. Each participant then is measured how long (in minutes) it takes him or her to fall asleep. Data: No Visualization treatment Treatment 22 19 18 17 27 24 20 21 23 27 26 21 22 23 24 18 27 19 22 22 a) Should you use an independent samples t-test or a related samples t-test? Explain your answer. b) Describe how Martha could have approached her question differently by using the design opposite to your answer in Q1. That is, if this is an independent samples design, how would The rest of the question is at the bottom with letter (C) Martha revise her study to do a related samples design? Or.. if this is a related samples design, how would she revise the method to do an independent samples design? c) State the Ho and Ha.
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d) Using α=.05, what is tcrit?
e) Given pooled variance = 8.99, Calculate tobt.
f) What should Martha conclude?

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