A company manufactures five-volt power supplies. However, since there are manufacturing tolerances, there are variations in the voltage design. The standard deviation in the design voltage is 5%.
Using a 99% confidence level, determine whether or not the following samples fall within the confidence interval:
a) 100 samples, the estimate of µx =4.7
(b) 100 samples, the estimate of µx = 4.9
(c) 100 samples, the estimate of µx =5.4