Can you PLEASE help me with this Question?

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5. (a) (b) The number of shrimps in random sample of 8 plates of Yangzhou Fiied Rice at the PolyU Student Canteen are listed below: (X+1)74357637783879' Find the 99% condence interval in the mean number shrimp per plate of Yangzhou Fried rice that the PolyU Student Canteen. State your assumption(s) and / or approximation(s). (6 marks) Ms. Louisa Cheng is considering running in the election for the PolyU Student Union President. Before deciding to run in the election, she decides to conduct a poll of 400 PolyU students to what her chances are that she will win. Out of the 400 PolyU students polled, 250 students said they would vote for her, as opposed to the other candidates. i. Find the 90% condence interval for the population proportion of PolyU students who will vote f0r Ms. Louisa Cheng. State any assumption(s) and/or approximation(s). (6 marks) ii. Based on the condence interval you found in part (a), can you say that Ms. Louisa Cheng has more than a 50% chance to be President of the PolyU Student Union? Please justify your answer. (2 marks) Suppose you want to nd 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% condence interval in the dier'ence between the mean (average) lifetime of the two types of batteries? State any assumption(s) and / or approximation(s). (8 marks)