Introductory Statistics (10th Edition)
Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 7.3, Problem 83E

Emergency Room Traffic. A variable is said to have an exponential distribution or to be exponentially distributed if its distribution has the shape of an exponential curve, that is, a curve of the form y = ex/μ for x > 0, where μ is the mean of the variable. The standard deviation of such a variable also equals μ. At the emergency room at Desert Samaritan Hospital in Mesa, Arizona, the time from the arrival of one patient to the next, called an interarrival time, has an exponential distribution with a mean of 8.7 minutes.

  1. a. Sketch the exponential curve for the distribution of the variable “interarrival time.” Note that this variable is far from being normally distributed. What shape does its distribution have?
  2. b. Use the technology of your choice to simulate 1000 samples of four interarrival times each.
  3. c. Find the sample mean of each of the 1000 samples.
  4. d. Determine the mean and standard deviation of the 1000 sample means.
  5. e. Theoretically, what are the mean and the standard deviation of all possible sample means for samples of size 4? Compare your answers to those you obtained in part (d).
  6. f. Obtain a histogram of the 1000 sample means. Is the histogram bell shaped? Would you necessarily expect it to be?
  7. g. Repeat parts (b)–(f) for a sample size of 40.
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Chapter 7 Solutions

Introductory Statistics (10th Edition)

Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Prob. 21ECh. 7.1 - Exercises 7.117.23 are intended solely to provide...Ch. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Suppose that a random sample of size 1 is to be...Ch. 7.2 - Although, in general, you cannot know the sampling...Ch. 7.2 - Why is obtaining the mean and standard deviation...Ch. 7.2 - Does the sample size have an effect on the mean of...Ch. 7.2 - Does the sample size have an effect on the...Ch. 7.2 - Explain why increasing the sample size tends to...Ch. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Exercises 7.337.40 require that you have done...Ch. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Exercises 7.417.45 require that you have done...Ch. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Exercises 7.417.45 require that you have done...Ch. 7.2 - Exercises 7.417.45 require that you have done...Ch. 7.2 - Young Adults at Risk. Research by R. Pyhala et al....Ch. 7.2 - Baby Weight. The paper Are Babies Normal? by T....Ch. 7.2 - Menopause in Mexico. In the article Age at...Ch. 7.2 - Mobile Homes. According to the U.S. Census Bureau...Ch. 7.2 - Undergraduate Binge Drinking. Alcohol consumption...Ch. 7.2 - Earthquakes. According to The Earth: Structure,...Ch. 7.2 - Bachelors Completion. As reported by the U.S....Ch. 7.2 - SAT Scores. Each year, thousands of high school...Ch. 7.2 - Unbiased and Biased Estimators. A statistic is...Ch. 7.2 - For Exercises 7.557.57, refer to Equations (7.1)...Ch. 7.2 - For Exercises 7.557.57, refer to Equations (7.1)...Ch. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Gestation Periods of Humans. For humans, gestation...Ch. 7.2 - Prob. 60ECh. 7.3 - A variable of a population has a mean of = 100...Ch. 7.3 - A variable of a population has a mean of = 35 and...Ch. 7.3 - A variable of a population is normally distributed...Ch. 7.3 - A variable of a population has mean and standard...Ch. 7.3 - Refer to Fig. 7.6 on page 323. a. Why are the four...Ch. 7.3 - According to the central limit theorem, for a...Ch. 7.3 - Brain Weights. In 1905, R. Pearl published the...Ch. 7.3 - New York City 10-km Run. As reported by Runners...Ch. 7.3 - Teacher Salaries. Data on salaries in the public...Ch. 7.3 - Loan Amounts. B. Ciochetti et al. studied mortgage...Ch. 7.3 - Nurses and Hospital Stays. In the article A...Ch. 7.3 - Women at Work. In the article Job Mobility and...Ch. 7.3 - Ethanol Railroad Tariffs. An ethanol railroad...Ch. 7.3 - Taller Young Women. In the document Anthropometric...Ch. 7.3 - Poverty and Dietary Calcium. Calcium is the most...Ch. 7.3 - Early-Onset Dementia. Dementia is the loss of the...Ch. 7.3 - Worker Fatigue. A study by M. Chen et al. titled...Ch. 7.3 - Prob. 78ECh. 7.3 - Use the empirical rule for variables to answer the...Ch. 7.3 - Testing for Content Accuracy. A brand of...Ch. 7.3 - Gestation Periods of Humans. For humans, gestation...Ch. 7.3 - Emergency Room Traffic. A variable is said to have...Ch. 7 - Define sampling error.Ch. 7 - Prob. 2RPCh. 7 - Prob. 3RPCh. 7 - Prob. 4RPCh. 7 - Officer Salaries. The following table gives the...Ch. 7 - Officer Salaries. Refer to Problem 5. a. Use the...Ch. 7 - The following graph shows the curve for a normally...Ch. 7 - Income Tax and the IRS. In 2010, the Internal...Ch. 7 - New Car Passion. Edmunds.com publishes information...Ch. 7 - Prob. 10RPCh. 7 - Prob. 11RPCh. 7 - Prob. 12RPCh. 7 - Western Pygmy-Possum. Refer to Problem 12. a. Find...Ch. 7 - Prob. 14RPCh. 7 - Life Insurance in Force. The American Council of...Ch. 7 - Prob. 16RPCh. 7 - Prob. 17RPCh. 7 - Athletic Coping Skills Inventory. The Athletic...Ch. 7 - Random Numbers. A variable is said to be uniformly...Ch. 7 - Prob. 1FDACh. 7 - At the beginning of this chapter, we discussed a...
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