Can my tutor please explain and answer all of the following question, please show your work

Problem 3. Solve the following hypothesis test problem: A simple random sample of 75 basketball players is taken from different teams and their mean weight is found to be 195 pounds and the standard deviation of the population is 28 pounds. At the significance level a = 0.01 test the claim that the average weight of basketball players is 200 pounds.? Step 1: (3 points) Write the null hypothesis and the alternative hypothesis and identify the claim. Step 2: (2 points) Find the test value: Step 3: (2 points) Find the critical value(s) or p - value: Step 4: (2 points) Make the decision. Step 5: (1 point) Summarize the result. 2PARTI Problem 1. Solve the following problem by using the Central Limit Theorem. A mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $36,489 for a recent academic year. Suppose that the population standard deviation equals $3,705 and 49 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 49 schools is between $34,000 and $36,000. Step 1: (2 points) State the desired probability: Step 2: (3 points) Convert values to z - scores for the Central Limit theorem: Step 3: (3 points) Find the probability. Problem 2. (5 points) The average weight of 40 randomly selected compact automobiles was 2530 pounds. The sample standard deviation was 300 pounds. Find the 98% confidence interval of the population mean