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Sample Size. In Exercises, find the sample

Chapter 7, Problem 32BSC

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QUESTION:

Sample Size. In Exercises 25–32, find the sample size required to estimate the population mean.

Sample Size Using Sample Data Refer to Data Set 16 in Appendix B and find the maximum and minimum earthquake magnitudes, then use those values with the range rule of thumb to estimate \(\sigma\) . How many earthquakes must you randomly select if you want to be 95% confident that the sample mean magnitude is within 0.2 of the true population mean \(\mu\) ? The standard deviation of the 50 earthquake magnitudes in Data Set 16 is 0.587. Find the required sample size by using the standard deviation of the sample as an estimate of \(\sigma\) . Which of the two results is likely to be better?

Equation Transcription:

Text Transcription:

sigma

mu

sigma

Questions & Answers

QUESTION:

Sample Size. In Exercises 25–32, find the sample size required to estimate the population mean.

Sample Size Using Sample Data Refer to Data Set 16 in Appendix B and find the maximum and minimum earthquake magnitudes, then use those values with the range rule of thumb to estimate \(\sigma\) . How many earthquakes must you randomly select if you want to be 95% confident that the sample mean magnitude is within 0.2 of the true population mean \(\mu\) ? The standard deviation of the 50 earthquake magnitudes in Data Set 16 is 0.587. Find the required sample size by using the standard deviation of the sample as an estimate of \(\sigma\) . Which of the two results is likely to be better?

Equation Transcription:

Text Transcription:

sigma

mu

sigma

ANSWER:

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