6. [10 POINTS = 5 + 5] HEFEFI TO SAMPLE SIEE FOFI POPULATION MEAN. OPERATIONS MVAGEMENT AT A LARGE MAN LII-'AL'TURING PLANT WOULD LIKE TO ESTIMATE THE AVERAGE MOUNT TL'VIE WORKERS TAKE TO ASSEMBLE ELECTRONIC DEVICES. BASED ON SPECIFICATIONS FOR ASSEMBLLNG SIMILAR DEVI THEY ASSESS THE POPULATION STANDARD DEVIATION EQUAL TO 1.4 SHNUTES. A. THE MANACER WILL HE SATISFIED IF THE MAROIN OF ERROR FOR A 99 % CONFIDENCE INTERVAL DOES NOT EXCEED [L4 MINUTES. WHAT IS THE SMALLEST SAMPLE SIZE NEED ENSURE THESE CONDITIONS? CRITICAL VALUE = 2.5?6 SMALLEST SAMPLE SIzE = [[2.5?5) {1.4} IUAF = 31.2... =:- 32. WILL THE SAMPLE OF SIzE 90 BE SUFFICIENT? YES, BECAUSE 90 :2- 32. B. THE SENIOR MANACER DECIDED TO SET THE 95% CONFIDENCE LEVEL FOR THE SAME POPULATION AVERACE AND ENSURE THAT THE WIDTH OF THE CONFIDENCE INTERVAL SHOULD BE AT MOST [LS MINUTES. HEFIE THE SOUND IS B = I15 I2 = 0.25 [THE MARIMAL HALF-WIDTH]. CRITICAL VALUE = 1 .960 SMALLEST SAMPLE SIzE =[(1.Q}{1.4}f.25]2 =12U.4...=:=-121 WILL THE SAMPLE OF SIZE 100 BE SUFFICIENT? =:- N0. 100 4121