4B.5An experiment was conducted to compare the performance of two potato peelers, and inparticular to discover whether the typical user might be able to peel potatoes faster with onerather than the other. Ten volunteers were used, and each was given both peelers for a periodbefore the experiment in order to gain familiarity with them. In the experiment the volunteersubjects used both peelers on standardised amounts of potatoes, and then repeated theexperiment with the peelers used in the opposite order, so as to eliminate any effect due toordering. The table below gives, for each subject, the mean of the natural logarithms of time(in seconds) needed to complete the tasks.SubjectPeelerA B12.33 2.3422.762-7931.911.9142.62 2.6052.012.0361.771.8071.811.8181.992.0091.971.98102.26 2.30Use Student's t-test, at the 5% level of significance, to test whether the peelers differ in theirefficiency.

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Answered: 4B.5 An experiment was conducted to…

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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The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.2 2.9 4.6 2.4 3.0 4.4 3.5 4.3 3.5 3.8 3.1 3.8 3.8 2.6 3.4 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
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