# HW4 - BME 423 HOMEWORK SET#4 FALL 2008 In each problem make sure that you(1 state clearly which statistical procedure you are using and why you

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1 BME 423 HOMEWORK SET #4 FALL 2008 In each problem, make sure that you: (1) state clearly which statistical procedure you are using and why you selected it; (2) state the null hypothesis for any questions in which an inference is made; (3) show clearly the equations and intermediate calculations used to arrive at your solutions; and (4) when making inferences, report the critical value against which the test-statistic is compared, along with the number of degrees of freedom and the level of significance, as appropriate. 1. Twenty infants with sleep apnea were monitored for their sleep pattern a month before medication was prescribed and a month after medication was used. The total duration of time (in minutes) spent in quiet sleep over the recording period (the same for each infant) was recorded. The table below gives the results for the duration of quite sleep 1 month before the medication was used and 1 month after the medication was used for each infant. The data indicate that the duration of quiet sleep follows a Normal distribution in the population. Is there any evidence of a difference in the quiet sleep duration before and after the use of medication? QS @ 1 month before using medication QS @ 1 month after using medication 30 75 29 68 20 50 40 72 50 81 21 62 35 77 28 67 63 85 46 74 52 79 49 82 38 69 46 75 39 65 53 64 43 70 41 60 37 64 44 59 2. Measurements (in units of cm H2O/s) of nocturnal dyspnoea obtained from 25 young asthmatic subjects following exposure of nitrous oxide are shown below. These subjects were divided into 3 groups according to lung function tests. The researchers in this study hypothesized that there would be no difference of nocturnal dyspnoea following nitrous oxide in these three lung function groups. Were they correct? You can assume the data are Normally distributed. State clearly the statistical test used to arrive at your conclusions and briefly explain your reasons for using this test. Show all intermediate calculations.

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2 Group A Group B Group C 23.1 9.1 10.5 37.8 10.8 16.1 19.4 6.5 24.5 29.3 21.0 12.4 41.0 18.4 20.6 26.5 23.9 18.6 17.7 34.8 4.5 10.1 3. People with an abnormality called Myasthenia gravis show reduced number of Ach-receptors in the human
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## This note was uploaded on 12/02/2008 for the course BME 423 taught by Professor D'argenio during the Fall '06 term at USC.

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HW4 - BME 423 HOMEWORK SET#4 FALL 2008 In each problem make sure that you(1 state clearly which statistical procedure you are using and why you

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