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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According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of
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
hypothesis. A sample of 14 individuals from the Midwestern town of
Webster City was selected and then each person's milk consumption
was entered into the Microsoft Excel Online file below. Use the
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According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of
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
Webster City was selected and then each person's milk consumption
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