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. 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:

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 at alpha = .05. List the Ho, Ha, give the observed value of the test statistic, p-value, and write a word conclusion.

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

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?

3. Based on your research, which type of cereal would you prefer? Why?

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Brand Special k Rice chex Rice Krispies Cocoa Rice Puffed Rice Puffed wheat Type Rice Rice Rice Rice Rice Rice Rice Rice Oat Nut Oat KellogsCrispx Crispy Rice Lucky Charms Honey Cherios Kashi Quaker Squares Great Grains Oat Oat Oat Oat Cracklin Oat Oat Bran Special K Honey Oat Oat Honey Bunches Oat of Oats Calories 120 100 170 120 50 50 110 110 110 110 220 210 160 200 100 130 Total fat (g) 0.5 0.5 0 1 0 0 0 0 1 1.5 1.5 2.5 3 7 0.5 2.5 Sodium (mg) 210 220 190 150 0 190 160 170 160 135 190 80 135 140 135 Brand Special k Rice chex Rice Krispies Cocoa Rice Puffed Rice Puffed wheat Type Rice Rice Rice Rice Rice Rice Rice Rice Oat Nut Oat KellogsCrispx Crispy Rice Lucky Charms Honey Cherios Kashi Quaker Squares Great Grains Oat Oat Oat Oat Cracklin Oat Oat Bran Special K Honey Oat Oat Honey Bunches Oat of Oats Calories 120 100 170 120 50 50 110 110 110 110 220 210 160 200 100 130 Total fat (g) 0.5 0.5 0 1 0 0 0 0 1 1.5 1.5 2.5 3 7 0.5 2.5 Sodium (mg) 210 220 190 150 0 190 160 170 160 135 190 80 135 140 135

Answer rating: 100% (QA)

Null hypothesis H 0 1 2 the mean calorie countfatsodium in Rice is equal to Oat Alternative hypothesis H 1 1 2 the mean calorie count fatsodium in Ric... View the full answer