Studies have shown that random variable X, the processing time needed to do multiplication on new 3D computer, is normally distributed with mean and standard deviation 2 microseconds. A random sample of 16 observations is to be taken.
(a) Determine the distibution of x??
(b) These data are obtained:
42.65 45.15 39.32 44.44
41.63 41.54 41.59 45.68
46.50 41.35 44.37 40.27
43.87 43.79 43.28 40.70
Base upon these data, determine an unbiased estimate for mean.
(c) Find a 95% confidence interval for mean. Would you be surprised to read that the average time required to process a multiplication on this system is 42.2 microseconds? Explain, based on the confidence interval.