a) How much more cereal do you expect to be in the large bowl? b) What's the standard deviation of this difference? c) If the difference follows a Normal model, what's the probability the small bowl contains more cereal than the large one?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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. Cereal. The amount of cereal that can be poured into a
small bowl varies with a mean of 1.5 ounces and a stan-
dard deviation of 0.3 ounces. A large bowl holds a mean
of 2.5 ounces with a standard deviation of 0.4 ounces. You
open a new box of cereal and pour one large and one
small bowl.
a) How much more cereal do you expect to be in the
large bowl?
b) What's the standard deviation of this difference?
c) If the difference follows a Normal model, what's the
probability the small bowl contains more cereal than
the large one?
Transcribed Image Text:. Cereal. The amount of cereal that can be poured into a small bowl varies with a mean of 1.5 ounces and a stan- dard deviation of 0.3 ounces. A large bowl holds a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. a) How much more cereal do you expect to be in the large bowl? b) What's the standard deviation of this difference? c) If the difference follows a Normal model, what's the probability the small bowl contains more cereal than the large one?
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