Problem 1. (50 11.) ABC Ltd. has recently been receiving complaints from retailers thatttieir batteries are not lasting as long as other name brands. A quality manager decided, therefore, to take 26 samples (in randomly selected time intervals) of the batteries (each sample consisting of five batteries) to establish the standards torrelevant control chart limits. The results are shown in the table below {the mimbers represent how many hours a battery lasted): Sample no. Battery 1 Battery 2 Battery 3 Battery 4 Battery 5 l 49 50 51 48 46 2 36 48 39 4? 50 3 50 62 46 64 49 4 44 45 42 38 55 5 38 36 36 5? 58 6 55 64 51 53 42 TI" 64 62 55 48 44 8 4? 54 62 42 37 9 36 55 48 35 55 10 51 39 64 3? 45 11 45 40 38 3? 43 12 43 42 45 48 3? 13 64 54 55 56 56 14 45 46 66 55 61 15 38 54 36 64 49 I6 45 39 41 63 59 I? 48 45 5 8 45 44 18 55 64 48 65 54 19 5t 39 56 65 45 20 4? 63 48 53 39 21 43 55 54 4? 45 22 38 52 4? 39 55 23 43 48 39 56 56 24 55 3? 62 55 45 25 51 45 45 48 51 26 42 51 64 49 48 With these limits established, the manager now takes 6 more samples, which are shown inthe following table: Sample no. Battery 1 Battery 2 Battery 3 Battery 4 Battery 5 2? 45 53 54 49 4? 28 48 4? 3 8 48 53 29 51 61 44 61 46 30 39 44 49 39 52 31 3? 39 38 55 53 32 54 60 55 55 49 Q1. (39 p.) Determine the upper and lower control limits for all relevant charts. Show a] your calculations. Q2. (29 p.) Is the manufacmring process in contIol in Time Periods 2732