Assignment Objectives: Assess normality, Solve probability problems for normally distributed variables, Use the Central Limit theorem to solve probability problems.

Purpose: The assumption of normality is the basis of many techniques used in statistical analysis. This assignment will assess the normality of the variable "heights of NBA players."

Assignment Description: The attached spreadsheet contains data for the heights of all NBA players on the 2012-2013 rosters for the Eastern conference. We know height is a normally distributed variable. Would the heights of NBA players also be normally distributed? To determine normality you will construct a frequency table from the data using 5 classes. From the frequency table, draw a histogram using the attached Excel directions. What can you conclude about the distribution of the heights of NBA players? Are they normally distributed? To complete this assignment follow the steps below and then make your conclusion:

1. Would this be a representative sample of all NBA players? Why or why not?

2. Calculate the mean, median, and standard deviation for the data.

3. How would we interpret the mean, median, and standard deviation for this data?

4. Make a frequency table using 5 bins or classes.

5. From the results of the frequency table, construct a histogram using the midpoint of each category on the x-axis and the frequency on the y-axis.

6. If you were to draw a curve over the tops of the columns, what would the shape be?

7. Can we conclude that the heights of NBA players are normally distributed? Why or why not?

8. If I selected one player at random what would be the probability of an NBA player in the Eastern conference being less than 6 feet tall? First calculate the z-score and then use the standard normal table to find the probability.

9. Statistically, would a player less than 6 feet tall be considered unusual? Why or why not?

10. What height represents 90% of the heights of NBA players?

Parameters: Each question is worth 5 points

Subject | Mathematics |

Due By (Pacific Time) | 11/29/2015 12:00 am |

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