1 If X bar = 80, = 4, and n = 36, construct a 95% confidence interval estimate for the population mean, . Show work! That is draw the a) normal curve, b) put in the given information(mean and standard deviation), c) identify the area to be solved, d) show the Z conversion of the X values, e) use the Standardized normal Table, f) give interpretation of your results. Question 2 If a light bulb manufacturing company wants to estimate with 99% confidence, the mean life of a compact fluorescent light bulbs to within 100 hours and also assumes that the population standard deviation is 500 hours, how many compact fluorescent light bulbs need to be selected