The weights of newborn children in the United States vary
according to the normal distribution with mean 7.5 pounds and
standard deviation 1.25 pounds. An article in the The Wall Street
Journal claims that the average birth weight is decreasing
over time.
A local hospital wanted to see if the claim was true and
randomly sampled 23 baby's weights and found an average weight of
7.1 pounds. Test the claim using a 10% level of significance
that the mean weight significantly smaller than the national
average of 7.5 pounds. Use the population standard deviation
of 1.25 pounds. Give answer to at least 4 decimal
places.
What are the correct hypotheses? (Select the correct
symbols.)
H0: Select an
answer p σ² p̂ s² μ σ x̄ s Correct ? = ≠ ≥ ≤ > < Correct Correct pounds
Ha: Select an
answer s s² x̄ σ² σ p μ p̂ Correct ? ≤ ≠ = ≥ < > Correct Correct pounds
Based on the hypotheses, find the following:
Test Statistic Z =
p-value =
The correct decision is to Select an answer Accept the
null hypothesis Fail to reject the null hypothesis Reject
the null hypothesis Accept the alternative
hypotheis Correct
The correct summary would be: Select an answer There
is not enough evidence to reject the claim There is enough
evidence to reject the claim There is not enough evidence to
support the claim There is enough evidence to support the
claim Incorrect that the mean weight significantly
smaller than the national average of 7.5 pounds.
What is the type I error in this situation? Select an
answer The hospital believes the average weight is not less
than 7.5 pounds when it really is. The hospital believes the
average weight is less than 7.5 pounds when it really is
not.
The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and
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answerhappygod
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The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and
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