Who goes to the convention? A club has 30 student members and 10 faculty members. The students are

The club can send 4 students and 2 faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table D, beginning at line 123 to choose a stratified random sample of 4 students and 2 faculty members.

Short Answer

Expert verified

Students: Ghosh, Jones, Fisher, Shaw

Faculty members: Besicovitch, Andrews

Step by step solution

01

Given information

The sample data of students and the faculty members is provided.

02

Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Calculation

A convention can be attended by four students and two faculty members. It decides on a random selection of those who will go.

Based on their position in the alphabetical ranking, the student is assigned a unique number between 1 and 30

Line 123 from table D:54580815072710256027558923306341842815683

Select the relevant student for every 2 consecutive digits if the number is between1 and 30, otherwise move on to the next 2-digit number:

Based on their position in the alphabetical ranking, each faculty member is assigned a unique number between 0 and 9.

Line 123 from table D: 54580815072710256027558923306341842815683

Select the two faculty members who match to the first two digits (after 27):

1SelectBesicovitch0SelectAndrews

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

Does eating dinner with their families improve students’ academic performance? According to an ABC News article, “Teenagers who eat with their families at least five times a week are more likely to get better grades in

school.”19 This finding was based on a sample survey conducted by researchers at Columbia University.

Was this an observational study or an experiment? Justify your answer.

Sampling gravestones The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the county from the years 1825 to 1985 Historians plan to use these records to learn about African Americans in Coles County’s history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones.13

(a) Explain how you would use technology or Table D to choose the SRS. Your description should be clear enough for a classmate to obtain your results.

(b) Use your method from (a) to choose the first 3 gravestones.

Doctors and nurses Nurse-practitioners are nurses with advanced qualifications who often act much like primary-care physicians. Are they as effective as doctors at treating patients with chronic conditions? An experiment was conducted with 1316patients who had been diagnosed with asthma, diabetes, or high blood pressure. Within each condition, patients were randomly assigned to either a doctor or a nurse-practitioner. The response variables included measures of the patients’ health and of their satisfaction with their medical care after six months.

(a) Which are the blocks in this experiment: the different diagnoses (asthma, etc.) or the type of care (nurse or doctor)? Why?

(b) Explain why a randomized block design is preferable to a completely randomized design in this setting.

In an interesting experiment, researchers examined the effect of ultrasound on birth weight. Pregnant women participating in the study were randomly assigned to one of two groups. The first group of women received an ultrasound; the second group did not. When the subjects’ babies were born, their birth weights were recorded. The women who received the ultrasounds had heavier babies.

Did the experimental design take the placebo effect into account? Why is this important?

Killing weeds A biologist would like to determine which of two brands of weed killer is less likely to harm the plants in a garden at the university. Before spraying near the plants, the biologist decides to conduct an experiment using 24 individual plants. Which of the following two plans for randomly assigning the treatments should the biologist use? Why?

Plan A: Choose the 12healthiest-looking plants.

Apply Brand X weed killer to all 12of those plants.

Apply Brand Y weed killer to the remaining 12plants.

Plan B: Choose 12of the 24plants at random. Apply

Brand X weed killer to those 12plants and Brand Y

weed killer to the remaining 12plants.

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