Implementing Prob & Stats course concepts in Sports project

Chapter 2 - 8:

1.  Graphic presentation of data for each variable

  1. Stem and leaf plots
  2. Frequency distributions
  3. Histograms
  4. Box-and-whisker plots
  5. Dot plots
  6. ogive

2.  Numerical Descriptive statistics

  1. Measures of central tendency: Mean, median, mode, midrange
  2. Measures of dispersion: range, variance, standard deviation, interquartile range
  3. Measures of position: minimum, Q1, Q2, Q3, maximum

3.  Relationships among variables

  1. Scatter plots: height vs. weight, height vs. salary, weight vs. salary
  2. Describe the relationships: form, strength, direction
  3. Regression equations associated with each scatter plot

4.  Probability Concepts

  1. Color distribution of the skittles
  2. Pie chart of the skittles candy
  3. Demonstrate the following probabilities:
  4. Probability of selecting one candy of each color. For example: P(one yellow skittle) = ______(Do this for each color)
  5. P(green OR red) = ______(do this for all 2 color combinations: P(green or yellow), P(green or orange), P(green or purple), P(red or yellow), P(red or orange), P(red or purple), P(yellow or orange), P(yellow or purple), P(orange or purple) )
  6. Make a bar graph of the candy colors

5. Assume that the population from which the players come is normally distributed. Standardize the values in the following questions and use the standard normal tables or calculator to find to find the following probabilities: assuming a normal distribution of the players’ heights, estimate the probability that a player’s height is …

a. …less than 76 inches P (x < 76) = ______

b. …more than 85 inches P (x > 85) = ______

c. …between 73 and 82 inches P (73 < x < 82) = ______

d. …less than 72 inches P (x < 72) = ______

e. …more than 80 inches P (x > 80) = ______

f. …between 72 and 80 inches P (72 < x < 80) = ______

6. assuming a normal distribution of the players’ weights, estimate the probability that a player’s weight is …

a. …less than 195 pounds P (x < 195) = ______

b. …more than 165 pounds P (x > 165) = ______

c. …between 135 and 255 pounds P (135 < x < 255) = ______

d. …less than 200 pounds P (x < 200) = ______

e. …more than 250 pounds P (x > 250) = ______

f. …between 200 and 250 pounds P (200 < x < 250) = ______

7. assuming a normal distribution of the players’ salaries, estimate the probability that a player’s salary is ….

a.  …less than $500 000 annually P(x<500 000) ______

b.  …less than $1 000 000 annually P(x<1 000 000) = ______

c.  …between $1 500 000 and $4 000 000 annually P(1 500 000<x<4 000 000) = _____

d.  …more than $5 000 000 annually P(x>5 000 000) = ______

e.  …between $6 000 000 and $9 000 000 annually P(6 000 000<x<9 000 000) = ____

…more than $10 000 000 annually P(x>10000000) = ______

Instructions:

·  The project is to be electronically word processed and all the graphs are to be computer or calculator constructed and incorporated into your project report. Use Fathom, Minitab or Microsoft Excel to make your graphs and import them into word and power point for a final report and presentation.

·  You will submit an electronic copy of your project report that addresses the items listed above. You will also need to make a 5 minute power point presentation to the class. On the presentation day, you will be required to dress formally for your presentation. See last item below.

·  The project will be graded on

o  Accuracy of the calculation, graphs, and tables

o  Neatness and orderly, coherent presentation in the report

o  Timeliness of submission

o  Creativity and artistic layout

o  Completeness (all items addressed in the report)

·  There will be a formal 5 minute presentation of your project to the class on a date to be announced later. It is suggested that you prepare a Power Point Presentation for this purpose. For the presentation, you are expected to dress formally. The order of presentation will be determined randomly and will be communicated to you before the day of presentations. Each student will evaluate their peers’ presentation.

·  The project due date is Tuesday, NOvenber 22, 2011. Late projects lose 10 percentage points for each day they are late.