please help this business statistics with clear steps and also explanation, thank you

Question 1125 marks) A professor sampled 100 students to study the time that the students spend for preparing the examination. The resulting sample had sample mean f=53 hours and sample Standard deviation 5:7.7 hours. Assume the sample of students was randomly selected from the 6700 undergraduate students . a. What are point estimators of population mean and population standard deviation? (2 marks) b. What is the sampling distribution of 22? Why? (3 marks) (2. If the population mean was 51 hours, what is POE 2 53 hours)? (6 marks) cl. If the population mean was 60 hours, what is P02 2 53 hours)? (2 marks) e. If P0? 2 53 hours)=0.5, what is the population mean? (4 marks) f. If PO? 2 53 hours)=0.75, without calculation, can you tell that the population mean is greater or less than 53 hours? Explain