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. Aft month the observed mean decline in DBP in these five patients is 4.9 mm Hg with a standard deviation of 8 mm Hg. USE SALT (a) If = 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.) ✔ patients 23 (b) Suppose we conduct a study of the preceding hypothesis based on 21 participants. What the probability we will be able to reject Housing 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.) 0.8335 x

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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 4.9 mm Hg with a standard deviation of 8 mm Hg.
USE SALT
(a) 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
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.)
patients
23
(b) Suppose we conduct a study of the preceding hypothesis based on 21 participants. What is the probability we will be able to reject Housing 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.)
0.8335
X
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 4.9 mm Hg with a standard deviation of 8 mm Hg. USE SALT (a) 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 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.) patients 23 (b) Suppose we conduct a study of the preceding hypothesis based on 21 participants. What is the probability we will be able to reject Housing 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.) 0.8335 X
Expert Solution
Step 1

Given Information:

Sample standard deviation is 8.

Sample size n=21.

Significance level α=0.05

(b) The objective is to find the probability to reject H0 (power of the test) using one-sided test at 5% significance level.

 

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