1.For each of the variables below,compute by hand(that is, with a calculator) their mean and standard deviation.Confirm your results with Minitab.(Type the numbers into separate columns in the Minitab worksheet.)

-For variables a, b, and c, what relationships do you see between the variable means?Between the variable standard deviations?

-Stat 225 Review for Extra credit (3 points):Note that Variable e = Variable b + Variable d. Note that thestandard deviation of e sum of standard deviations of b and d?What is the correct relationship? (Consider this a research question. You are not expected to derive the formula mathematically.)

a.100, 200, 300, 400, 500, 600, 700, 800, 900

b.1, 2, 3, 4, 5, 6, 7, 8, 9

c.90, 190, 290, 390, 490, 590, 690, 790, 890

d.5, 8, 13, 21, 34, 55, 89, 144, 233

e.6, 10, 16, 25, 39, 61, 96, 152, 242

2.a. For 2021-22, the minimum NBA player salary is $925,000.The mean salary is approximately $8.1 million, the median $4.0 million, and, at the time of this writing, the maximum salary is $46 million (Steph Curry).Do you believe the distribution of 2021-22 NBA player salaries is a normal distribution?Briefly explain your answer.

b.Consider the distribution of all household incomes in the state of Indiana.Briefly explain why you believe this isnota normal distribution.

3.a. Open the "How Much is a Win Worth" document.Evaluate this graph (which is from the Spring 2018 Exponent).Give two criticisms of the graph.

b. Open the UK 2016 Q4 GDP Growth graph.What is a major flaw in its construction?(Hint: Is the Second Estimate of the GDP growth three times bigger than the First Estimate?)

4.Suppose the Pacers basketball team is averaging 108 points per game half way through their season.

a.Is this a good prediction of exactly how many points they will score in their next game?Why or why not?

b.To make such a prediction, what other information would you like to have?