Suppose measurements (in centimeters) are taken using an instrument. There is error in the measuring process and a measurement is assumed to be distributed N(, 2 0), where is the exact measurement and 2 0 = 0.5. If the (n = 10) measurements 4.7, 5.5, 4.4, 3.3, 4.6, 5.3, 5.2, 4.8, 5.7, 5.3 were obtained, assess the hypothesis H0 : = 5 by computing the relevant P-value. Also compute a 0.95-confidence interval for the unknown .