Suppose that the stochastic average for 30 independent, identically distributed random variables X₁, 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 μ = 29.6 microseconds. Apply the known statistical inequalities to find: (i) The interval that would give us a confidence level of 85% (ii) The probability that the response time is greater than 45 microseconds.