Math153-DB1/DDH Name: ______________________________

10/05

Project 8: (10 points) Submit this paper and the print-out from Minitab14.

Due: on or before Friday, 11/4/05.

Using your M&M data, complete the following table.

n = ___________

# of brown ______

# of yellow ______

# of red ______

# of blue ______

# of orange ______

# of green ______

You will find a 95% confidence interval for the proportion or percent of blue M&Ms in a regular package using Minitab14 and two different techniques. Complete the following items first.

n = _____

x (# blue) = _____

= x/n = ______

1) Using Minitab14, click on Stat, Basic Statistics, One proportion.

Click on the circle before Summarized Data. Type in the number of trials and the number of successes (events). Click OK. Minitab14 automatically finds the 95% Confidence Interval using an EXACT (not normal approximation) method. (Ignore z-value and p-value.)

EXACT METHOD: 95% Confidence Interval (write all decimal places)

________________ TO _________________

2) Now find the 95% Confidence Interval using the normal approximation (the method that the TI-83 calculator uses). Click on Stat, Basic Statistics, One proportion.

Click on the circle before Summarized Data. Type in the number of trials and the number of successes.

NOW click on Options and click on the box before “Use test and interval based on the normal distribution.” OK OK

NORMAL APPROXIMATION METHOD: 95% Confidence Interval (write all decimal places)

________________ TO _________________

3) Are your answers to 1) and 2) similar? ________

4) Submit the print-out from the Session Window of Minitab14. Print your name in the window.

-OVER-

5) Verify the guidelines that the normal approximation to the binomial can be used. Work out the guidelines from the previous class hand-out Normal Approximation to the Binomial Distribution with your M&M data.

6) Check the percent of blue M&Ms that the company targets in a package by going to the website http://us.mms.com/us/about/

The company claims to put _____ % of blue M&Ms in each package.

Do your confidence intervals confirm the company’s claim? ________

Briefly explain.