Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The International 500. Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine various characteristics of successful firms. Further suppose that, for your study, you decide to take a simple random sample of 10 firms from Fortune Magazine's list of "The International 500."

(a) Use Table I in Appendix A to obtain 10 random numbers that you can use to specify your sample. Start at the three-digit number in line number 14 and column numbers 10-12, read down the column, up the next, and so on.

(b) If you have access to a random-number generator, use it to solve part (a).

Short Answer

Expert verified

Part (a) Samples are: 285 475 374 424 500 298 050 454 230 400

Part (b) Samples after using MINITAB: 273 437 198 127 429 116 361 191 172 370

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States.

Suppose that you want to examine various characteristics of successful firms. Further suppose that, for your study, you decide to take a simple random sample of 10 firms from Fortune Magazine's list of "The International 500."

02

Part (a) Step 2. Obtain 10 random samples by using Table I in Appendix A.

Fortune Magazine produces an item titled "The International," which ranks the top 500 companies worldwide by sales. We'll need a sample of ten for this.

For this follow the below-given procedure:

  1. Assigning numbers from 000 to 999 to each firm is the first step in selecting a random sample of 10 from 500 multinational firms.
  2. Then pick one of these numbers at random.
  3. We must select three-digit numbers in this case.
  4. If any number exceeds 500, that number is discarded, and we move on to the next step of the process.
  5. The required sample is as follows, based on the random number table.
  6. 285 475 374 424 500 298 050 454 230 400
03

Part (b) Step 1. Use a random number generator to solve part (a).

Given below is the result of samples produced by using MINITAB:

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Persistent Poverty and IQ. An article appearing in an issue of the Arizona Republic reported on a study conducted by G. Duncan of the University of Michigan. According to the report, "Persistent poverty during the first 5 years of life leaves children with IQs 9.1 points lower at age 5 than children who suffer no poverty during that period...." Is this statistical study an observational study or is it a designed experiment? Explain your answer.

Peanut Allergies. In the article " Food Allergy Advice May Be Peanuts " (Science News, Vol . 174, No. 12, pp . 8-9), N. Seppa reports that early exposure to peanuts seems to lessen the risk of nut allergy. Of 4000 Jewish children sampled in Britain, 1.85 % had peanut allergies; and of 4600 Jewish children sampled in Israel, where early peanut consumption is more common, 0.17 % had peanut allergies. The researcher chose Jewish children in both countries to limit genetic differences between groups.

(a) Is this study descriptive or inferential?

(b) Is this study observational or experimental?

Sampling Dorm Residents. Students in the dormitories of a university in the state of New York live in clusters of four double rooms, called suites. There are 48 suites, with eight students per suite.

(a) Describe a cluster sampling procedure for obtaining a sample of 24 dormitory residents.

(b) Students typically choose friends from their classes as suitemates. With that in mind, do you think cluster sampling is a good procedure for obtaining a representative sample of dormitory residents? Explain your answer.

(c) The university housing office has separate lists of dormitory residents by class level. The number of dormitory residents in each class level is as follows. Use the table to design a procedure for obtaining a stratified sample ( with proportional allocation ) of 24 dormitory residents.

In Exercises 1.92-1.97, we present descriptions of designed experiments. In each case, identify the

(a) experimental units

(b) response variable

(c) factor (s)

(d) levels of each factor:-

(e) treatments.

Dexamethasone and IQ. In the paper "Outcomes at School Age After Postnatal Dexamethasone Therapy for Lung Disease of Prematurity" (New England Journal of Medicine,Vol . 350, No. 13, pp . 1304-1313), T. Yeh et al . studied the outcomes at school age in children who had participated in a double-blind, placebo-controlled trial of early postnatal dexamethasone therapy for the prevention of chronic lung disease of prematurity. One result reported in the study was that, at school age, the control group of 74 children had an average IQ score of 84.4, whereas the dexamethasone group of 72 children had an average IQ score of 78.

Explain why a census is often not the best way to obtain information about a population.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free