Please solve the following problems using the baseball data file in the Week 3 module of Canvas.  A summary of your responses should be uploaded in Canvas using the link in the week 3 minor project folder.

1. Refer to the baseball data in the Week 3 module in Canvas.  Consider the following variables:

1. Number of wins
2. Payroll
3. Season attendance
4. Whether the team is in the American or National League
5. The number of home runs hit

A.) Which of these variables listed above (1-5) are quantitative, and which are qualitative?

B.) Determine the level of measurement (nominal, ordinal, interval, or ratio) for each of the variables listed above (1-5).

2. Refer to the baseball data that reports information on the 30 Major League Baseball teams for the 2010 season.  Create a frequency distribution for the team payroll variable and answer the following questions.

Minitab: Stat – Basic Statistics – Display Descriptive Statistics – Variables: Payroll, then click the Statistics button: select mean, minimum, maximum, & range, ok, then select the Graphs button: Histogram of data with normal curve, ok, ok

Minitab: Stat – Tables – Tally Individual Variables, Add the Payroll to the variables area, Display: Cumulative percents, ok

SPSS: Analyze – Descriptive Statistics – Frequencies – Variables: Payroll, then click the Statistics button: select mean, minimum, maximum, & range, Continue, ok

SPSS: Graphs – Graphboard Template Chooser – Select Payroll – Select histogram with Normal Distribution, ok

A.) What is the average payroll for the team?  What is the range (minimum and maximum) of the payroll?

B.) Comment on the skewed shape of the distribution.  Is the distribution positively or negatively skewed?  Does it appear that any of the teams have a payroll that is out of line with the others?  Which teams are classified as outliers?

C.) Create a cumulative frequency distribution table.  Thirty percent of the teams have a payroll of less than what amount?  About how many teams have total payroll of less than $100,000,000?

3. Find the mean and standard deviation of team payroll for the 14 American League and the 16 National League teams.  Does there appear to be a difference in the means?  Is there a difference in the dispersion for team payroll between the two leagues?

Minitab: Graph, Histogram, With Fit and Groups, ok, Graph variable: Payroll, Categorial variables for grouping (0-3): League, check “Graph variables form groups”, ok

SPSS: Analyze – Compare Means – Means – Dependent List: Payroll, Layer 1 of 1: League

4. Draw a scatter diagram with the variable Wins on the vertical axis and Payroll on the horizontal axis.  What are your conclusions?

Minitab: Graph – Scatterplot: With Regression, ok, y variables = wins, x-variables = payroll, ok

SPSS: Graphs – ChartBuilder – ok, Choose from: Scatter/Dot: select first option “Simple Scatter” and drag to chart preview area, drag payroll to x-axis and wins to y-axis, select ok to publish chart

5. Using the variable Wins, draw a dot plot.  What can you conclude from this plot?

Minitab: Graph – Dotplot: Simple, ok, Graph variables = wins, ok

SPSS: Graphs – ChartBuilder – ok, Choose from: Scatter/Dot select the “Simple Dot Plot” option and drag to the chart preview area: then drag the wins variable to the x-axis, select ok to publish chart

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