Reference no: EM132666877
Question 1: Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard deviation of 0.8 cup.
Assume the number of cups per day follows a normal distribution.
a. What proportion drinks 2 cups per day or more?
b. What proportion drinks no more than 4 cups per day?
Question 2: Table 5-14 displays blood pressure status by gender.
a. What proportion of the participants has optimal blood pressure?
b. What proportion of men has optimal blood pressure?
c. What proportion of participants with hyperten-sion is men?
d. Are hypertensive status and male gender inde-pendent?
Question 3: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
a. What proportion of people has diastolic blood pressures less than 90?
b. What proportion has diastolic blood pressures between 80 and 90?
c. If someone has a diastolic blood pressure of 100, what percentile does this represent?
Question 4: Table 5-15 cross-classifies pregnant women in a study by their body mass index (BMI) at 16 weeks gestation and whether they had a pre-term delivery.
a. What is the probability that a woman delivers pre-term?
b. What is the probability a woman has a BMI less than 30 and delivers pre-term?
c. What proportion of women with a BMI greater than 35 delivers pre-term?
d. Are BMI and pre-term delivery independent? Justify.
Question 5: In the study described in Problem 13, suppose the mean BMI at 16 weeks gestation is 28.5 with a standard deviation of 3.6, and that BMI is as¬sumed to follow a normal distribution. Find the following:
a. The proportion of women with a BM1 greater than 30.
b. The proportion of women with a BMI greater than 40.
c. The BMI that separates the top 10% from the rest.
Question :6. Diastolic blood pressures are approximately normally distributed with a mean of 75 and a standard deviation of 10.
a. What is the 90th percentile of diastolic blood pressure?
b. If we consider samples of 20 patients, what is the 90th percentile of the mean diastolic blood pres-sure?
Attachment:- biostatistics.rar
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