Asked by
Naief Bayrouti
on Oct 12, 2024
Verified
A researcher wants to estimate the mean cholesterol level of people in his city.A random sample of 221 people yields an average cholesterol level of 219,with a margin of error of ±12.Assume the researcher used a confidence level of 90%.
A) We are 90% confident that 90% of people in the city have a cholesterol level between 207 and 231.
B) The researcher can be 90% confident that the mean cholesterol level for people in his city is between 207 and 231.
C) 90% of the people sampled have cholesterol levels between 207 and 231.
D) If we took many random samples of people in the city,about 9 out of 10 of them could produce a confidence interval of (207,231) .
E) About 9 out of 10 people in the researcher's city have cholesterol levels between 207 and 231.
Margin of Error
An expression of the amount of random sampling error in a survey's results, representing how much the survey results are expected to differ from the true population value.
Confidence Interval
An interval of values calculated from sample data that has a specified probability of including the accurate population parameter.
Confidence Level
A statistical measure that quantifies the uncertainty or certainty in a sampling method, often expressed as a percentage.
- Understand the concept of a confidence interval and how it's used to estimate population parameters.
- Interpret confidence intervals in the context of the studied variable (e.g., cholesterol levels, gas prices, weight loss).
- Recognize the correct interpretation of confidence intervals among common misconceptions.
Verified Answer
AW
Learning Objectives
- Understand the concept of a confidence interval and how it's used to estimate population parameters.
- Interpret confidence intervals in the context of the studied variable (e.g., cholesterol levels, gas prices, weight loss).
- Recognize the correct interpretation of confidence intervals among common misconceptions.