Please help write the solssepate a b c for more understanding thanks

Directions: On a separate sheet of paper, write out your solutions to the questions below. Then scan your written work, save it as a PDF le, and submit it on Canvas. Late assignments will receive a grade of zero unless prior arrangements are made with me. Assignment: Show all of your work! (30 points total) Sammg Distribution Models for Means Consider the following properties of sampling distributions for means: - Men the population distribution is Normal, then the sampling distribution of is also Normal for any sample size. . When the population distribution is not Normal, then the sampling distribution of is Normal as long as the sample size is big enough. Deciding if a sample size is big enough can be tricky because it depends on how much the population distribution is skewed. An easy rule of thumb for this class is the sample size should be at least 30 if we know that the population distribution is not Normal. - The mean of the sampling distribution of is the mean of the population. In symbols we write: - The standard deviation of the sampling distribution of is the standard deviation of the population divided by the square root of the sample size. In symbols we write: 1) Use the information above and what you learned from Chapter 5 regarding the normalcdf command to answer the questions below. A college's data about incoming freshman indicates that the mean of their high school GPAs was 3.2 with a standard deviation of 0.65. Incoming freshman are randomly assigned to writing seminars in groups of 25. (2 points each) 3.) Find the mean and standard deviation of the sampling distribution and describe the sampling distribution using the notation . b) What is the probability of a group having an average high school GPA above 3.5? c) What is the probability of a group having an average high school GPA below 3 .0