Confidence Intervals

You will pick a topic, complete research, and provide a write-up that includes calculations. Round all values to two decimal places when appropriate.

1. Choose a topic where you can gather at least 50 pieces of data.

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Ex. of topics:
a) The Golden State Warriors points per game in 2016 (use the points scored in the first 50 games).
b) High School graduation rates by state (use the graduation rates for all 50 states).
c) Average tuition rates in the US (you would have to find the rates for 50 different college/universities).
d) The price of a hotel room per night in a major city (you have to find the price of the same night of hotels in 1 city)
e) Weights of 50 babies at birth

2. Write at least 1 page report
A) Introduction – Provide a description of your topic and cite where you found your data.
B) Sample data – Include a 5×10 table including your 50 values in your report. You must provide ALL of your sample data.
C) Problem Computations – For the topic you chose, you must answer the following:

* Determine the mean and standard deviation of your sample.
* Find the 80%, 95%, and 99% confidence intervals.
* Make sure to list the margin of error for the 80%, 95%, & 99% confidence intervals.
* Create your own confidence interval (you cannot use the 80, 95, and 99%) & make sure to show your work. Make sure to list the margin of error.

D) Problem Analysis – Write a half page reflection.

* What tend do you see take place in the confidence interval as the confidence level rises? Explain mathematically why it takes place.
* Provide a sentence for each confidence interval created in part C, which explains what the confidence interval means in context of topic of your project.
* Explain how this has helped you understand confidence intervals better.
* How did this project help you understand statistics better?

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