Question: Suppose that the stochastic average for 30 independent, identically distributed random variables X. X2. ... X30 is equal to 30 microseconds, which represents the typical

Suppose that the stochastic average for 30 independent, identically distributed random variables X.

X2. ... X30 is equal to 30 microseconds, which represents the typical average response time for an SSD

hard disk drive, with a standard deviation of 3 microseconds.

Suppose that 35 sample responses were collected and the measured sample average was u =29.6

microseconds. Apply the known statistical inequalities to find:

() The interval that would give us a confidence level of 85%

(ii) The probability that the response time is greater than 45 microseconds

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