T1 (**Required for 100 points**): Assume the height and weight data is population data. Based on this population, construct 10 random samples with 15 students in each random sample (Click on this link to see how to do this in Excel http://www.youtube.com/watch?v=5XrJcFmbpWI). Then calculate the mean height for each of the 10 samples as well as the mean and variance of the 10 sample mean heights. Report your results in the following table.

Sample1 | Sample2 | Sample3 | Sample4 | Sample5 | Sample6 | Sample7 | Sample8 | Sample9 | Sample10 | |

Student 1 | ||||||||||

Student 2 | ||||||||||

Student 3 | ||||||||||

Student 4 | ||||||||||

Student 5 | ||||||||||

Student 6 | ||||||||||

Student 7 | ||||||||||

Student 8 | ||||||||||

Student 9 | ||||||||||

Student 10 | ||||||||||

Student 11 | ||||||||||

Student 12 | ||||||||||

Student 13 | ||||||||||

Student 14 | ||||||||||

Student 15 | ||||||||||

Sample mean | ||||||||||

Mean of sample means | ||||||||||

Variance of sample means |

Based on the above results and some additional calculations of the population mean and variance, explain the following:

- What is sampling distribution?
- What is the relationship between the mean of the sample mean heights and population mean height?
- What is the relationship between the variance of the sample mean heights and the population variance of height?

Note: If you don't see the Data Analysis option in your Excel, watch this tutorial

T2 (**Optional for 10 bonus points**): Each year, newspaper reports how many Americans watched the Super Bowl. Research how that number and the associated margin of error were estimated and explain how accurate you think the estimation was.

Subject | Mathematics |

Due By (Pacific Time) | 06/02/2014 12:00 am |

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