Question
upstudy study bank question image url

Lesson \( 10-5 \) Using Sampling to Predict (pp. 462-4 16. To determine the weekly top ten songs, the local radio station asks people to log on to their Web site and vote for their favorite song. Identify the sample as biased or unbiased and describe its type. Explain. 17. Forty-five out of 60 people at a steakhouse said their favorite meal was steak. Is this sampling representative of the entire town? If so, how many of the 13,000 residents would say steak was their favorite meal?

Ask by Phillips Martin. in the United States
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

**16. Sample Analysis for Weekly Top Ten Songs** - **Type of Sample:** Voluntary response sample. - **Bias:** Biased. - **Reason:** Only people with internet access and those who choose to vote are included, leading to potential bias. --- **17. Steakhouse Survey Analysis** - **Sample Size:** 60 people. - **Number Favoring Steak:** 45. - **Assumed Representation:** If the sample represents the entire town, approximately 9,750 out of 13,000 residents would prefer steak. - **Note:** The sample may not be representative since it only includes steakhouse patrons.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

The sample in question is biased. Since the local radio station only solicits votes from people visiting their website, it likely attracts a specific audience who are already interested in the station's music or the particular songs being played. This skewing means that the sample is not representative of the general population's musical preferences, as it excludes those who may not use the website or engage with the station—such as casual listeners or individuals who prefer different genres. As for the steakhouse situation, while the survey suggests that a significant portion of those surveyed prefer steak, it might not be representative of the entire town. If we take the sampling at face value (45 out of 60), that gives a rough rate of 75%. To extrapolate this to the town's population (13,000 residents), we find that 75% of 13,000 is about 9,750. However, caution is important—this calculation assumes the surveyed group reflects the broader community's preferences accurately, which might not be the case given the location and nature of the survey.

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy