The students use computer-generated random numbers to choose 25 stocks each. Use the 68-95-99.7 Rule to describe the sampling distribution model. About 68% should have proportions between, about 95% between, and about 99.7% between
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(b) Use the 95 part of the 68-95-99.7 rule to describe the variability of this sample mean. Recall the 68-95-99.7 rule, which states that in the Normal distribution with mean μ and standard deviation σ. • Approximately 68% of the observations fall within σ of μ. • Approximately 95% of the observations fall within 2σ of μ. • Approximately 99.7% of the observations fall within 3σ of μ. We wish to find a range of scores that includes 95% of the students. This indicates that we should use the portion of the rule for 95%. Therefore, the range of times will be between μ - ( 2 )σ and μ + ( 2 )σ.
Chris M.
From past records, it is known that the middle 68% of the annual returns of common stocks sold on the Toronto Stock Exchange are between 2% and 18%. If annual returns follow a normal distribution, then approximately 95% of returns fall between:
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