If the p-value has to be between 1 and 0, how do we approximate the p-value?  For example, the p-value is 0.99999999777 when I use R, but if I put the same information into the Minitab, the p-value becomes 0.  What is the rule for an approximation when it comes to the p-value? Is any p-value 0.9 and lower always going to be less than alpha=0.05?

SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE AND DETAILED SOLUTIONS FOR BETTER UNDERSTANDING.

Please clearly shows the steps. I'm not sure if my answer(1/3) is correct, so please just ignore it and calculate by yourself.

I'm very confused on e, can you please do it step by step. I would like to know what formulas to use.   For F, I got an interval between 1 and 9 (rounded) but I'm not sure if that is correct.

NOTE: This problem has many steps. You are asked to enter intermediate values in the process. These answers will require a fixed number of decimal points. However, you MUST ALWAYS REMEMBER that you are not using the rounded numbers in your future calculations. The only exception to this is that you may use z- scores rounded to three decimal places (of course, you also may use the unrounded version as well). In a certain school district in a large metropolitan area, the SAT scores over that past five years are normally distributed with a mean of 1466. Furthermore, Q3 is 1668. For a normal distribution, what is the z-score for the 75-th percentile? z = (Enter answer rounded to three decimal places.) Using this information, what is the standard deviation of this population of SAT scores? sigma = 299 (Enter answer rounded to the nearest whole number.) For a normal distribution, what is the z-score for the 98-th percentile? z = (Enter answer rounded to three decimal places.) Now, use all of…