Answer both questions below. Show your work in reaching the answerThe questions is for quantitative methods. You must show your work, and steps to reach the answer.Please send the original excel sheet used as well to show your work if excel is used.

Answer both questions below.  Fifty points each.  Show your work in reaching the answer.

Susan Wilson, chief financial officer of Hospital Suppliers, Inc., has examined weekly sales of ventilators for the past 30 weeks, and found mean weekly sales to be 570 units while the standard deviation is 45 units.  In preparing her financial analysis presentation for the Board meeting next week, she has turned to you to answer the following questions.
Susan believes senior executives such as herself will receive an immediate 20% annual salary bonus if sales exceed 600 units next week.  She has already contacted a Maserati salesperson in expectation of getting that bonus.  How likely is it (in percentage terms) she will not be disappointed?
She knows that some employees (including possibly herself) will be ‘managed out’ of their positions if sales are less than 540 units next week.  What is the probability of that?
She knows that everyone will keep their job, but without raises, if sales are between 540 units and 600 units.  How likely is that (in percentage terms) to occur.

In Major League Baseball, the National League consists of 16 teams.  The number of victories in 162 games for eight such teams two years ago is shown below. Each team’s payroll in millions is also shown.    Now, a) Estimate a regression equation for the relationship between number of victories and the payroll for the eight teams selected below. Then show your regression equation and identify the intercept and slope. b) how well does your equation fit the data, according to the coefficient of determination (r-squared)?  c). Now explain what your results show about the relationship between payroll and the number of victories. Finally, d) using these results, predict how many more games the Nationals could expect to win next year if their payroll is increased by $30 million.
Team        Payroll   Victories

Astros      342           115

Dodgers     327           108

Cubs        259           72

Cardinals   296           93

Phillies    243           81

Braves      282           90

Padres      254           69

Nationals   279           88

Susan Wilson, chief financial officer of Hospital Suppliers, Inc., has examined weekly sales of ventilators for the past 30 weeks, and found mean weekly sales to be 570 units while the standard deviation is 60 units.  In preparing her financial analysis presentation for the Board meeting next week, she has turned to you to answer the following questions.
Susan believes senior executives such as herself will receive an immediate 20% annual salary bonus if sales exceed 600 units next week.  She has already contacted a Masarati salesperson in expectation of getting that bonus.  How likely is it (in percentage terms) she will be disappointed?
She knows that some employees (including possibly herself) will be ‘managed out’ of their positions if sales are less than 540 units next week.  What is the probability of that?
She knows that everyone will keep their job, but without raises, if sales are between 540 units and 600 units.  How likely is that (in percentage terms) to occur.

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