Math 10 - Homework 6 – Answers to homework
1.
In your work for a national health organization, you are asked to monitor the amount of sodium in a
certain brand of cereal. You find that a random sample of 82 cereal servings has a mean sodium content
of 232 milligrams with a standard deviation of 10 milligrams. At
α
= 0.01 , can you conclude that the
mean sodium content per serving of cereal is more than 230 milligrams?
(a)
(DESIGN)
State your Hypothesis
Ho:
μ
≤ 230
Ha:
μ
> 230
(d)
(DESIGN)
Determine decision rule
(pvalue method)
Reject Ho if p-value <
α
(.01)
(e)
(DATA)
Conduct the test and
circle
your
decision
Z ≈ t = (232-230)/(10/sqrt(82)) = 1.81
p-value =P(Z>1.81) = 0.0351 >
α
(b)
(DESIGN)
State Significance Level
of the test
(c)
(DESIGN)
Determine the statistical model (test
statistic)

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2.
A tourist agency in Florida claims the mean daily cost of meals and lodging for a family of four
traveling in Florida is $284. You work for a consumer protection advocate and want to test this claim.
In a random sample of 50 families of four traveling in Florida, the mean daily cost of meals and lodging
is $292 and the standard deviation is $25. At
α
= 0.05, do you have enough evidence to reject the
agency's claim?