Question
In: Statistics and Probability
According to a recent report, a sample of 360 one-year-old baby boys in the United States...
According to a recent report, a sample of 360 one-year-old baby boys in the United States had a mean weight of 25.5 pounds. Assume the population standard deviation is =σ5.1 pounds.Construct a 99.5% confidence interval for the mean weight of all one-year-old baby boys in the United States. Round the answer to at least one decimal place.
Solutions
Expert Solution
We are given that n=360 and 
25.5 pounds, 
5.1. We need to find out the 99.5%. Since the sample size is large
and 
is known, we shall use the normal distribution Z value to
calculate the confidence interval. Here 
(Since 1-0.005 = 0.995).
The formula to calculate the confidence interval is:
From the tables or from Excel, the value of 
can be found as 2.807. (In Excel, we need to use the function,
NORM.S.INV(0.0025. Substituting the values, we get
Confidence interval =
The 99.5% confidence interval rounded to one decimal place is
.
The lower limit is 24.7 pounds and the upper limit is 26.3 pounds.
orchestra answered 2 years agoRelated Solutions
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milk in the United States is 21.5 gallons. Being from the Midwest,
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hypothesis. A sample of 14 individuals from the Midwestern town of
Webster City was selected and then each person's milk consumption
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milk in the United States is 21.5 gallons. Being from the Midwest,
you believe milk consumption is higher there and wish to test your
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hypothesis. A sample of 14 individuals from the Midwestern town of
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