Compare the ratio of the range to s for the three sample

Chapter 1, Problem 26SE

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QUESTION:

Compare the ratio of the range to s for the three sample sizes (\(n=6\), 20, and 88) for Exercises 1.12, 1.24, and 1.25. Note that the ratio tends to increase as the amount of data increases. The greater the amount of data, the greater will be their tendency to contain a few extreme values that will inflate the range and have relatively little effect on s. We ignored this phenomenon and suggested that you use 4 as the ratio for finding a guessed value ofs in checking calculations.

Equation Transcription:

Text Transcription:

n=6

Questions & Answers

QUESTION:

Compare the ratio of the range to s for the three sample sizes (\(n=6\), 20, and 88) for Exercises 1.12, 1.24, and 1.25. Note that the ratio tends to increase as the amount of data increases. The greater the amount of data, the greater will be their tendency to contain a few extreme values that will inflate the range and have relatively little effect on s. We ignored this phenomenon and suggested that you use 4 as the ratio for finding a guessed value ofs in checking calculations.

Equation Transcription:

Text Transcription:

n=6

ANSWER:

Solution:

Step 1 of 2:

We have to compare the ratio of the range to S for the three given set of samples.

 

     

  96

  536

 400

16

224

16

80

80

 656

  224

 40

392

576

128

56

32

 328

  464

448

358

384

256

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