please help this probability and statistics questions with clear steps and details, thank youuu

(c) Suppose you want to find if there is any diffference between the mean (average) lifetime of two types of batteries: "Energiser" and "Durasell" batteries. Suppose your random sample of 130 Energiser batteries has an average lifetime of 36.8 days and a random sample of 150 Durasell batteries averages 28.7 days. Assume by prior research that the population standard deviations for the lifetime of Energiser and Duracell batteries are 1.9 days and 2.5 days, respectively. Find the 94% confidence interval in the difference between the mean (average) lifetime of the two types of batteries? State any assumption(s) and/or approximation(s). (9 marks)