Statistics: The Art and Science of Learning from Data (4th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 7.2, Problem 25PB

Blood pressure 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 midday, and in the evening.

  1. 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.
  2. b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? Why?
  3. c. Refer to part b. Find the probability that the sample mean exceeds 140, which is considered problematically high. (Hint: Use the sampling distribution, not the probability distribution for each observation.)
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Chapter 7 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

Ch. 7.1 - Syracuse full-time students Youd like to estimate...Ch. 7.1 - Gender distributions At a university, 60% of the...Ch. 7.1 - Prob. 13PBCh. 7.1 - Prob. 14PBCh. 7.2 - Simulate taking midterms Assume that the...Ch. 7.2 - Education of the self-employed According to a...Ch. 7.2 - Rolling one die Let X denote the outcome of...Ch. 7.2 - Playing roulette A roulette wheel in Las Vegas has...Ch. 7.2 - Simulate rolling dice Access the Sampling...Ch. 7.2 - Prob. 20PBCh. 7.2 - Shared family phone plan A recent personalized...Ch. 7.2 - Dropped from plan previous exercise mentions that...Ch. 7.2 - Restaurant profit? Jans All You Can Eat Restaurant...Ch. 7.2 - Survey accuracy A study investigating the...Ch. 7.2 - Blood pressure Vincenzo Baranello was diagnosed...Ch. 7.2 - Household size According to the 2010 U.S. census...Ch. 7.2 - Average monthly sales A large corporation employs...Ch. 7.2 - Prob. 28PBCh. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PBCh. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CPCh. 7 - Prob. 34CPCh. 7 - Prob. 35CPCh. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CPCh. 7 - Home runs Based on data from the 2010 Major League...Ch. 7 - Physicians assistants The 2006 AAPA survey of the...Ch. 7 - Bank machine withdrawals An executive in an...Ch. 7 - PDI The scores on the Psychomotor Development...Ch. 7 - Number of sex partners According to recent General...Ch. 7 - Prob. 43CPCh. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CPCh. 7 - Prob. 46CPCh. 7 - Prob. 47CPCh. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CPCh. 7 - Prob. 50CPCh. 7 - Prob. 51CPCh. 7 - Prob. 52CPCh. 7 - Prob. 53CPCh. 7 - Winning at roulette Part b of Example 7 used the...Ch. 7 - True or false As the sample size increases, the...Ch. 7 - Prob. 56CPCh. 7 - Prob. 57CPCh. 7 - Prob. 58CPCh. 7 - Prob. 59CPCh. 7 - Prob. 60CPCh. 7 - Prob. 61CPCh. 7 - Prob. 62CPCh. 7 - Prob. 63CP
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