A pilot study of a new antihypertensive agent is performed for the purpose of planning a larger study. Five patients who have a mean DBP of at least 95 mm Hg are recruited for the study and are kept on the agent for 1 month. After 1 month the observed mean decline in DBP in these five patients is 4.1 mm Hg with a standard deviation of 8 mm Hg. LAUSE SALT (a) If Hd true mean difference in DBP between baseline and 1 month, then how many patients would be needed to have a 90% chance of detecting a significant change in DBP over 1 month using a one-tailed test with a significance level of 5%? Assume that the true mean and standard deviation of the DBP difference were the same as observed in the pilot study. (Round your answer up to the next whole number.) 33 patients (b) Suppose we conduct a study of the preceding hypothesis based on 26 participants. What is the probability we will be able to reject Ho using a one-sided test at the 5% level if the true mean and standard deviation of the DBP difference are the same as in the pilot study? (Round your answer to four decimal places.)
A pilot study of a new antihypertensive agent is performed for the purpose of planning a larger study. Five patients who have a mean DBP of at least 95 mm Hg are recruited for the study and are kept on the agent for 1 month. After 1 month the observed mean decline in DBP in these five patients is 4.1 mm Hg with a standard deviation of 8 mm Hg. LAUSE SALT (a) If Hd true mean difference in DBP between baseline and 1 month, then how many patients would be needed to have a 90% chance of detecting a significant change in DBP over 1 month using a one-tailed test with a significance level of 5%? Assume that the true mean and standard deviation of the DBP difference were the same as observed in the pilot study. (Round your answer up to the next whole number.) 33 patients (b) Suppose we conduct a study of the preceding hypothesis based on 26 participants. What is the probability we will be able to reject Ho using a one-sided test at the 5% level if the true mean and standard deviation of the DBP difference are the same as in the pilot study? (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Transcribed Image Text:Hypertension
A pilot study of a new antihypertensive agent is performed for the purpose planning a larger study. Five patients who have a mean DBP of at least 95 mm Hg are recruited for the study and are kept on the agent for 1 month. After 1 month the observed mean decline in DBP in these five
patients is 4.1 mm Hg with a standard deviation of 8 mm Hg.
USE SALT
(a) If "d = true mean difference in DBP between baseline and 1 month, then how many patients would be needed to have a 90% chance of detecting a significant change in DBP over 1 month using a one-tailed test with a significance level of 5%? Assume that the true mean and standard
deviation f the DBP difference were the same as observed in the pilot study. (Round your answer up to the next whole number.)
✓ patients
33
(b) Suppose we conduct a study of the preceding hypothesis based on 26 participants. What is the probability we will be able to reject Ho using a one-sided test at the 5% level if the true mean and standard deviation of the DBP difference are the same as in the pilot study? (Round your answer
to four decimal places.)
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