Studies have shown that random variable X, the processing time needed to do miltiplication on a new 3-D computer, is normally distributed with mean u and standard deviation 2 microseconds. A random sample of 16 observations is to be taken.
A. What is the distribution 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
Based on these data, find an unbiased estimate for u.
C. Find a 95% confidence interval for u. Would you be surprised to read that the average time required to process a multiplication on this system is 42.2 microseconds? Explain using the confidence interval.