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Hypertension 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 4.8 mm Hg with a standard deviation of 9 mm Hg. *7.26 If μ = 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 signifi- cance level of 5%? Assume that the true mean and stan- dard deviation of the DBP difference were the same as observed in the pilot study. 7.27 Suppose we conduct a study of the preceding hy- pothesis based on 20 participants. What is the probability we will be able to reject H, 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?

Hypertension 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 4.8 mm Hg with a standard deviation of 9 mm Hg. *7.26 If μ = 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 signifi- cance level of 5%? Assume that the true mean and stan- dard deviation of the DBP difference were the same as observed in the pilot study. 7.27 Suppose we conduct a study of the preceding hy- pothesis based on 20 participants. What is the probability we will be able to reject H, 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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Hypertension 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 4.8 mm Hg with a standard deviation of 9 mm Hg. *7.26 If µ = 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 signifi- cance level of 5%? Assume that the true mean and stan- dard deviation of the DBP difference were the same as observed in the pilot study. *7.27 Suppose we conduct a study of the preceding hy- pothesis based on 20 participants. What is the probability we will be able to reject H, 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?
Transcribed Image Text:Hypertension 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 4.8 mm Hg with a standard deviation of 9 mm Hg. *7.26 If µ = 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 signifi- cance level of 5%? Assume that the true mean and stan- dard deviation of the DBP difference were the same as observed in the pilot study. *7.27 Suppose we conduct a study of the preceding hy- pothesis based on 20 participants. What is the probability we will be able to reject H, 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?
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