Chapter 1: Q.34 (page 52)
Is a sample size of 1,000 a reliable measure for a population of 5,000?
Short Answer
Yes, for a population of 5000, a sample size of 1000 is a reliable metric.
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 1: Q.34 (page 52)
Is a sample size of 1,000 a reliable measure for a population of 5,000?
Yes, for a population of 5000, a sample size of 1000 is a reliable metric.
All the tools & learning materials you need for study success - in one app.
Get started for free
No replacement To use a binomial distribution to approximate the count of successes in an SRS, why do we require that the sample size be no more than of the population size?
Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once they start the treatment. Two researchers each follow a different set of 40 patients with AIDS from the start of treatment until their deaths. The following data (in months) are collected.
Researcher A:
3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34
Researcher B:
3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29
Determine what the key terms refer to in the example for Researcher A.
sample
Is a sample size of two representative of a population of five?
A local radio station has a fan base of listeners. The station wants to know if its audience would prefer
More music or more talk shows. Asking all listeners is an almost impossible task.
The station uses convenience sampling and surveys the first people they meet at one of the station’s music concert events. people said they’d prefer more talk shows, and 176 people said they’d prefer more music.
Do you think that this sample is representative of (or is characteristic of) the entire listener population?
An advertisement for Acme Investments displays the two graphs in Figure to show the value of Acme’s product in comparison with the Other Guy’s product. Describe the potentially misleading visual effect of these comparison graphs. How can this be corrected?
What do you think about this solution?
We value your feedback to improve our textbook solutions.