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You have an assembly line which produces 1L bottles of seltzer with a standard deviation of 0.05L.
• Assuming the distribution of volume is normal, what is the chance any single bottle's volume is between 0.85L and 0.95L?
• If you chose 100 bottles at random, what would be the expected average volume of the bottles in your sample? What would the standard deviation of the sample average be? What is the shape of this distribution? Give reasons for your answers.
• If you pulled a sample of 50 bottles, what is the chance that you would find the average volume was greater than 0.99L?
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What would be the cutoff score to indicate a score that is in the top 15% of the scores on a test with a mean of 100 and a standard deviation of 15? This question has multiple p
Variance The term variance was used to describe the square of the standard deviation by R.A.Fisher. The concept of variance is highly important in areas where it is possible to
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