# Question: Vincenzo Baranello was diagnosed with high blood pressure He was

Vincenzo Baranello was diagnosed with high blood pressure. He was able to keep his blood pressure in control for several months by taking blood pressure medicine (amlodipine besylate). Baranello’s blood pressure is monitored by taking three readings a day, in early morning, at mid-day, and in the evening.

a. During this period, the probability distribution of his systolic blood pressure reading had a mean of 130 and a standard deviation of 6. If the successive observations behave like a random sample from this distribution, find the mean and standard deviation of the sampling distribution of the sample mean for the three observations each day

b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? Why?

c. Refer to part b. Find the probability that the sample mean exceeds 140, which is considered problematically high. (Use the sampling distribution, not the probability distribution for each observation.)

a. During this period, the probability distribution of his systolic blood pressure reading had a mean of 130 and a standard deviation of 6. If the successive observations behave like a random sample from this distribution, find the mean and standard deviation of the sampling distribution of the sample mean for the three observations each day

b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? Why?

c. Refer to part b. Find the probability that the sample mean exceeds 140, which is considered problematically high. (Use the sampling distribution, not the probability distribution for each observation.)

**View Solution:**## Answer to relevant Questions

According to the 2010 U.S. Census Bureau Current Population Survey (www.census.gov/population/www/socdemo/hh-fam/cps2010.html), the average number of people in family households which contain both family and non-family ...An exam consists of 50 multiplechoice questions. Based on how much you studied, for any given question you think you have a probability of p = 0.70 of getting the correct answer. Consider the sampling distribution of the ...Based on data from the 2010 major league baseball season, X = number of home runs the San Francisco Giants hits in a game has a mean of 1.0 and a standard deviation of 1.0. a. Do you think that X has a normal distribution? ...You’d like to estimate the proportion of all students in your school who are fluent in more than one language. You poll a random sample of 50 students and get a sample proportion of 0.12. Explain why the standard deviation ...Each student should bring 10 coins to class. For each coin, observe its age, the difference between the current year and the year on the coin. a. Using all the students’ observations, the class should construct a histogram ...Post your question