Question
Sabine records the daily heights of a random sample of bamboo stalks , in inches. They are: 20,19,17,16,18,15,20,21 Consider the formulas: A s^2=((x_(1)-bar (x))^2+(x_(2)-bar (x))^2+ldots +(x_(n)-bar (x))^2)/(n-1) B s=sqrt (((x_(1)-bar (x))^2+(x_(2)-bar (x))^2+ldots +(x_(n)-bar (x))^2)/(n-1)) c sigma ^2=((x_(1)-mu )^2+(x_(2)-mu )^2+ldots +(x_(N)-mu )^2)/(N) D: sigma =sqrt (((x_(1)-mu )^2+(x_(2)-mu )^2+ldots +(x_(N)-mu )^2)/(N)) Which formula should you use for variance? square Which formula should you use for standard deviation? square DONE
Solution
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(237 Votos)
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Mestre · Tutor por 5 anos
Resposta
To determine which formulas to use for variance and standard deviation, we need to understand the difference between sample and population statistics.For a sample:- Use formula A for variance:
- Use formula B for standard deviation:
For a population:- Use formula C for variance:
- Use formula D for standard deviation:
Since Sabine is recording the daily heights of a random sample of bamboo stalks, we should use the formulas for a sample.Therefore, the correct formulas to use are:- For variance: Formula A- For standard deviation: Formula B