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a hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 19.1 pounds. a sample of seven infants is randomly selected and their weights at birth are recorded as 18.1, 21.1, 22.1, 23.1, 21.1, 27.1, and 27.1 pounds. what is the sample standard deviation?

Sagot :

As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196

What do you mean by Standard Deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

What is the formula to calculate Standard Deviation?

Formula for standard deviation calculation is:

[tex]\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}[/tex] (Population Standard Deviation)

[tex]s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}[/tex] (Sample Standard Deviation)

[tex]\bar x= 19.1[/tex]

[tex]\sum {(X - \bar x) ^ {2}} = 162[/tex]

[tex]n-1 = 6[/tex]

[tex]s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}[/tex]

[tex]s= \sqrt 27[/tex]

[tex]s= 5.196[/tex]

To learn more about Sample Standard Deviation visit:

https://brainly.com/question/24277447

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