M&M'S MILK CHOCOLATE: 24% cyanblue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%brown.

Confidence Interval for Small n

Choose the color of M&M’s you willbe working with for this project

Color:

Using the collected data below from a single fun-sized bag,provide the frequency and proportion of M&M’s in your color ofchoice.

Red	Orange	Yellow	Green	Blue	Brown
2	1	2	3	5	1

Number of M&M's in yourcolor:

Total number ofM&M's:

           Proportion of M&M's in your color:

Construct a 95% confidence interval for the proportionof M&M’s one can expect to find in the color of yourchoice.

Check the requirements for constructing a confidenceinterval for the proportion are satisfied. Show yourwork.

The conditions might not be satisfied, depending on how manycandies were in your bag. If the conditions are not met,what could you do?

Part 2: Confidence Interval for Larger n

Now, use the data collected below from a collection of fun-sizedbags to provide the frequency and proportion of M&M’s in youroriginal color of choice.

Red	Orange	Yellow	Green	Blue	Brown
54	49	52	51	84	109

Number of M&M's in yourcolor:

Total number ofM&M's:

Proportion of M&M's inyour color:

Construct a 95% confidence interval for the proportionof M&M’s one can expect to find in the color of yourchoice.

Write an interpretation of your confidence intervalspecific to your color.

Check the requirements for constructing a confidenceinterval for the proportion are satisfied. Show your work. (See thenote in the blue box on page 426)

How are confidence intervals affected by samplesize?

How does the margin of error for the confidence intervalin Part 1 compare to the margin of error for your confidenceinterval in Part 2? (compute both and compare)

Does the confidence interval you constructed in Part 2contain the claimed proportion given by Mars Inc?

Do you believe the claims given by MarsInc?