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Marshmallow Madness

APSTAT-DG1JLR

Breakfast cereal with marshmallows is very popular among children (and adults too!). Brand 'A' marshmallow cereal has an average of $31.5$ marshmallows per cup with a standard deviation of $6.0$ marshmallows. Brand 'B' marshmallow cereal has an average of $35.6$ marshmallows per cup with a standard deviation of $7.6$ marshmallows.

What is the probability that randomly chosen samples of $35$ cups of each cereal would show a larger average number of marshmallows from Brand A?

A

$0.006$

B

$0.063$

C

$0.937$

D

$0.994$

E

The conditions for using the normal model might not be met in this situation. More information is needed.