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Here is a typical statement made by the media: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of error of 0.006 gram." What important and relevant piece of information is omitted from that statement? Is it OK to use the word "average"? Choose the correct answer below. ... OA. The media often omit reference to the confidence interval. The word "mean" should be used instead of the word "average." B. The media often omit reference to the confidence level, which is typically 95%. It is OK to use the word "average" in this context. OC. The media often omit reference to the confidence level, which is typically 95%. The word "mean" should be used instead of the word "average." OD. The media often omit reference to the confidence interval. It is OK to use the word "average" in this context.

Here is a typical statement made by the media: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of error of 0.006 gram." What important and relevant piece of information is omitted from that statement? Is it OK to use the word "average"? Choose the correct answer below. ... OA. The media often omit reference to the confidence interval. The word "mean" should be used instead of the word "average." B. The media often omit reference to the confidence level, which is typically 95%. It is OK to use the word "average" in this context. OC. The media often omit reference to the confidence level, which is typically 95%. The word "mean" should be used instead of the word "average." OD. The media often omit reference to the confidence interval. It is OK to use the word "average" in this context.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Understanding the Use of "Average" and Confidence Intervals in Media Reports #### Statement Analysis A typical statement often presented by the media is: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of error of 0.006 gram." This raises the question of whether the use of the word "average" is appropriate and what critical information might be missing. #### Important Considerations When interpreting statistical data in media reports, it is crucial to note any omissions of significant information, such as: - **Confidence Interval**: Often, media reports omit mention of the confidence interval, which is a range that likely contains the true value. It gives context to the "average" by showing the variability or uncertainty in the measurement. - **Confidence Level**: This is typically set at 95%, indicating that there is a 95% probability that the confidence interval contains the true average. This concept is sometimes not mentioned in media summaries. #### Multiple-Choice Analysis **Choose the correct answer below:** - **A.** The media often omit reference to the confidence interval. The word "mean" should be used instead of the word "average." - **B.** The media often omit reference to the confidence level, which is typically 95%. It is OK to use the word "average" in this context. - **C.** The media often omit reference to the confidence level, which is typically 95%. The word "mean" should be used instead of the word "average." - **D.** The media often omit reference to the confidence interval. It is OK to use the word "average" in this context. #### Explanation Correct interpretations should address both the choice of statistical terms and the need for comprehensive data presentation. This ensures clarity and accuracy in conveying the study's findings to the public.
Transcribed Image Text:### Understanding the Use of "Average" and Confidence Intervals in Media Reports #### Statement Analysis A typical statement often presented by the media is: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of error of 0.006 gram." This raises the question of whether the use of the word "average" is appropriate and what critical information might be missing. #### Important Considerations When interpreting statistical data in media reports, it is crucial to note any omissions of significant information, such as: - **Confidence Interval**: Often, media reports omit mention of the confidence interval, which is a range that likely contains the true value. It gives context to the "average" by showing the variability or uncertainty in the measurement. - **Confidence Level**: This is typically set at 95%, indicating that there is a 95% probability that the confidence interval contains the true average. This concept is sometimes not mentioned in media summaries. #### Multiple-Choice Analysis **Choose the correct answer below:** - **A.** The media often omit reference to the confidence interval. The word "mean" should be used instead of the word "average." - **B.** The media often omit reference to the confidence level, which is typically 95%. It is OK to use the word "average" in this context. - **C.** The media often omit reference to the confidence level, which is typically 95%. The word "mean" should be used instead of the word "average." - **D.** The media often omit reference to the confidence interval. It is OK to use the word "average" in this context. #### Explanation Correct interpretations should address both the choice of statistical terms and the need for comprehensive data presentation. This ensures clarity and accuracy in conveying the study's findings to the public.
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