Are all cereals created equal? You are to gather data on different brands and types of cereals.

1. Go to the grocery store with pen and paper in hand, and gather some data on rice and oat cereals. Just kidding!Look the various cereals up online and record the data below.Classify the cereal as to the first ingredient listed if it is made from a combination of grains.

Record the data on a per-serving basis as follows:

Snap Crackle Pop

Brand Type Calories Total Fat Sodium (mg)

Kellogg's Rice 110 0.0 146

Kellogg's Chocolate Rice 120 0.5 120

General Mills Rice 63 0.3 150.3

Great Value Toasted Rice 100 0.0 240

Bob Red Mills Rice 150 1.0 5

Kroger Rice 130 0.0 180

Raley's Organic Cocoa Rice 110 1.0 85

Malt-O-Meal Rice 104 0.0 240

Kellog's Rice Crispy Treats Frosted Rice

Krispies Rice 120 0.0 4

Kellogg's Rice Crispy Treats Rice 120 0.5 170

Special K Rice 120 0.5 210

Cocoa Krispies Rice 121 0.9 131

Kellogg's Corn Flakes Oat 80 0.0 150

Kellogg's Corn Pop's Oat 150 0.0 140

Bob Red Mill's Corn Grit's Oat 113 1.0 199

Chex Corn Cereal Oat 120 0.5 240

Natures Path Honey's Corn Oat 120 0.0 105

Malt-O-Meal Sweetened Corn Oat 160 2.0 280

Capt'n Crunch Peanut Butter Crunch Oat 110 2.5 200

Quaker Oat 120 1.3 320

Reese Puff's Sweet Corn Oat 120 3.0 160

Malt-O-Meal Corn Bursts Oat 120 0.0 270

Lucky Charms Oat 147 1.3 170

Wheaties Oat 130 0.5 240

In the data that you have collected, assume that the data is normally distributed for all cereals.

2. Perform a hypothesis test for the difference of the two means for each of the following questions. List the Ho, Ha, give the observed value of the test statistic, p-value, and write word conclusion.

a) Is there a difference in the calorie count for the two types of cereals?

There a difference in the calories count for the two types of cereals is 1368 for rice and 1490 oat.

Rice: there is not sufficient evidence to warrant rejection of the claim that rice has less calories than 0.50.

Oat: there is sufficient evidence to warrant rejection of the claim that Oat has more calories than 0.5

b) Do the rice cereals have less fat grams per serving than the oat cereals?

c) Do the rice cereals have more sodium (mg) per serving than the oat cereals?