According to Miller, a 12 oz Miller Lite has 96 calories. Suppose that the actual calorie content varies from bottle to bottle, with a mean of 96 calories and a standard deviation of 5 calories. Suppose also that we will select a random sample of 200 such bottles for analysis.
What is the standard deviation of the distribution of sample means?
Solution :
Given that ,
mean = = 96
standard deviation = = 5
n = 200
sampling distribution of standard deviation
= / n = 5 / 200=0.3536
= 0.3536
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