Download Sampling Distributions


Dannon is supposed to put 29.6 grams of
fruit in their fruit-flavored yogurt. The
company claims the standard deviation for
the yogurt process is 2.8grams. We took a
sample of 31 containers to check for quality.
What’s the probability that we found the
average of those containers to be less than
28.9grams?

Assuming that boys and girls are equally
likely, estimate the probability of getting
more than 36 girls in 64 births.

We know that women’s heights are normally
distributed with a mean of 63.6 inches and a
standard deviation given by σ = 2.5in. If 36
women are randomly selected, find the
probability that they have a mean height less
than 64in.

In a survey of 1002 people, 701 said that
they voted in a recent presidential election
(based on data from ICR Research Group).
Voting records show that 61% of eligible
voters actually did vote. Given that 61% of
eligible voters actually did vote, find the
probability that among 1002 randomly
selected eligible voters, at least 701 actually
did vote.