Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 6, Problem 41P
Suppose 100 hypertensive people are given an antihypertensive drug and the drug is effective in 20 of them. By effective, we mean their DBP is lowered by at least 10 mm Hg as judged from a repeat blood-pressure measurement 1 month after taking the drug.
Suppose we know that 10% of all hypertensive patients who are given a placebo will have their DBP lowered by 10 mm Hg after 1 month. Can we carry out some procedure to be sure we are not simply observing the placebo effect?
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Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given.
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SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯ . (Enter your answer rounded to one decimal place.)
?¯=
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Find the standard deviation, ??√, of the sampling distribution of ?¯. (Enter your answer rounded to four decimal places.)
??√=
Suppose the test for Corona is 99% accurate in both directions and 0.3% of the population is Corona positive. If someone tests positive, what is the approximate percentage that they actually are suffering from corona?
Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given.
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(a) Assume that the standard deviation of the odor threshold for untrained noses is known to be ?=7?g/Lσ
To access the complete data set, click the link for your preferred software format:
Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution.
(b) STATE: What is the average (mean) DMS odor threshold, ?μ , for all untrained people?
PLAN: Using the four‑step process, give a 95%95% confidence interval for the mean DMS odor threshold among all students.
SOLVE: We have assumed that we…
Chapter 6 Solutions
Fundamentals of Biostatistics
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