Let X1,..., X be an independent trials process for which the variance of each individual random variable is known to be less than or equal to 0.64. This means that the standard deviation σ is less than or equal to (give an answer to two decimal digits) Using this information, how many trials n are needed so that the 68% confidence interval (d = 1) for the actual mean has a length that is less than 0.91? (round up to the next highest integer)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Let X1,..., X be an independent trials process for which the variance of each individual random variable is known to be less than or equal to 0.64.
This means that the standard deviation σ is less than or equal to
(give an answer to two decimal digits)
Using this information, how many trials n are needed so that the 68% confidence interval (d = 1) for the actual mean has a length that is less than 0.91?
(round up to the next highest integer)
Transcribed Image Text:Let X1,..., X be an independent trials process for which the variance of each individual random variable is known to be less than or equal to 0.64. This means that the standard deviation σ is less than or equal to (give an answer to two decimal digits) Using this information, how many trials n are needed so that the 68% confidence interval (d = 1) for the actual mean has a length that is less than 0.91? (round up to the next highest integer)
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