hi, can anyone help me answering the question and please provide me the calculation step by manually calculating the answer. ty

During the coronavirus pandemic, supermarket Untung SOKMO Sdn. Bhd is redesigning the checkout lanes in its supermarket throughout the country and is considering two designs. Tests on customers checkout times were conducted at two supermarkets where the two systems have been installed results are in the following summary data. Systems Average Standard deviation Number of (in minutes) (in minutes) customers A 4.1 1.5 120 B 3.9 V1.9 10 Assuming the running times for each system follows a normal distribution a. Fahmi, the manager for system A claims that most of their checkout time by his supermarket is differ than standard time, which is 5 minutes on average. Perform an appropriate statistical analysis to test his claim at 5% level of significance. (Confidence interval is necessary). (15 marks) b. During this COVID-19 pandemic era, Fahmi said that the checkout times should be reduced in order to attract more customer, while Rahimi, manager for system B states that the checkout times should be maintain to a certain level in order to prevent the thief problem. To look for the differences, Fahmi deduct 12 customers in his system compared to Rahimi that uses the actual frequency of customer for checkout times. By performing an appropriate statistical analysis, can both supermarkets' managers CONFIDENTIAL/3 FBA/PFS1243/NOV20 said that there are some differences in their checkout times from the usual checkout time of the supermarket at 1% level of significance. (15 marks)