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The number of players randomly selected is 381 and the standard deviation is 1.96.
What is the standard deviation?
The standard deviation is a measurement of how much a group of values varies or is dispersed. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection. The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.
[tex]Z(\alpha /2)=1.96[/tex]
Sample size = n = [tex][Z(\alpha /2 * \sigma/E) ]^{2}[/tex]
n = [1.96 * 3.0 / 0.95]²
n = 381.85
n ≈ 381
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