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 15 baby's weights and found an average weight of 7.2 pounds. Test the claim using a 1% level of significance that the mean weight is 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.) Ho: Select an answer ? pounds H₁: Select an answer? pounds Based on the hypotheses, find the following: (Give answers to at least 4 decimal places) Find the test statistic: Z= Find the p-value: p-value The correct decision is to Select an answer The correct summary would be: Select an answer the local hospital is significantly smaller than the national average of 7.5 pounds. Question Help: Video Submit Question that the mean weight at

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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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 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 15 baby's weights and found an
average weight of 7.2 pounds. Test the claim using a 1% level of significance that the mean weight is
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.)
Ho: Select an answer
?
pounds
H₁: Select an answer?
pounds
Based on the hypotheses, find the following: (Give answers to at least 4 decimal places)
Find the test statistic:
Z=
Find the p-value:
p-value
The correct decision is to Select an answer
The correct summary would be: Select an answer
the local hospital is significantly smaller than the national average of 7.5 pounds.
Question Help: Video
Submit Question
that the mean weight at
Transcribed Image Text: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 15 baby's weights and found an average weight of 7.2 pounds. Test the claim using a 1% level of significance that the mean weight is 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.) Ho: Select an answer ? pounds H₁: Select an answer? pounds Based on the hypotheses, find the following: (Give answers to at least 4 decimal places) Find the test statistic: Z= Find the p-value: p-value The correct decision is to Select an answer The correct summary would be: Select an answer the local hospital is significantly smaller than the national average of 7.5 pounds. Question Help: Video Submit Question that the mean weight at
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