Week 11 - Application Assignment

Part 1) M&M Color Distribution (5 points)

The Mars Company, makers of M&M candy, claims that in every plain M&M bag there is 13 % red pieces, 14% yellow pieces, 16% green pieces, 20% orange pieces, 24% blue pieces, and 13% brown pieces. The company also states that the colors are blended mechanically according to the formula, but occasionally an unusual assortment of colors may appear.

Aisha got a 32 oz bag of M&M and sorted the pieces according to their colors. She recorded the counts below. She wants to see if her bag of M&Ms follows the claimed color distribution of the Mars Company.

Red

Yellow

Green

Orange

Blue

Brown

Total

Observed counts of M&M pieces for each color

130

149

155

210

252

123

1019

Expected number of M&M pieces for each color

1.What type of hypothesis test is required here?State all assumptions required for this test.

2.Fill in the row of expected values in the table above.Round each value to 1 decimal place.

3.State the null and alternate hypotheses for this test: (use correct symbols and format!)

Null hypothesis

Alternate hypothesis

4.Using = 0.10, run the correct hypothesis test and provide the information below.Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places).

Test Statistic

Critical value [HINT: this is NOT ]

Degrees of Freedom

p-value

5.State your statistical decision (and justify it!) and interpret your decision within the context of the problem.What is your conclusion?Week 11 - Application Assignment

Part 1) M&M Color Distribution (5 points)

The Mars Company, makers of M&M candy, claims that in every plain M&M bag there is 13 % red pieces, 14% yellow pieces, 16% green pieces, 20% orange pieces, 24% blue pieces, and 13% brown pieces. The company also states that the colors are blended mechanically according to the formula, but occasionally an unusual assortment of colors may appear.

Aisha got a 32 oz bag of M&M and sorted the pieces according to their colors. She recorded the counts below. She wants to see if her bag of M&Ms follows the claimed color distribution of the Mars Company.

Red

Yellow

Green

Orange

Blue

Brown

Total

Observed counts of M&M pieces for each color

130

149

155

210

252

123

1019

Expected number of M&M pieces for each color

1.What type of hypothesis test is required here?State all assumptions required for this test.

2.Fill in the row of expected values in the table above.Round each value to 1 decimal place.

3.State the null and alternate hypotheses for this test: (use correct symbols and format!)

Null hypothesis

Alternate hypothesis

4.Using = 0.10, run the correct hypothesis test and provide the information below.Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places).

Test Statistic

Critical value [HINT: this is NOT ]

Degrees of Freedom

p-value

5.State your statistical decision (and justify it!) and interpret your decision within the context of the problem.What is your conclusion?