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.


Related Solutions

The percentage of newborn baby boys in the United States is 51.2%. In a recent sample...
The percentage of newborn baby boys in the United States is 51.2%. In a recent sample of 964 births, 473 of the newborn babies were boys. Use a level of significance of 0.02 to test the claim that the percentage of newborn baby boys is not equal to 51.2%. Show your work to receive credit.
Baby weights: According to a recent National Health Statistics Report, the weight of male babies less...
Baby weights: According to a recent National Health Statistics Report, the weight of male babies less than 2 months old in the U.S. is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. a. What proportion of babies weigh more than 13 pounds? b. What proportion of babies weigh less than 15 pounds? c. What proportion of babies weigh between 10 and 14 pounds? d. Is it unusual for a baby to weigh more than 17 pounds?
According to a report of COVID-19 death rates in the United States from CDC as of...
According to a report of COVID-19 death rates in the United States from CDC as of April 6th 2020, New York has around 21.2 per 100,000 people for the death rate, which is the state with the highest number of COVID-19 cases. a) Obtain a point estimate for the population proportion of Americans who have died from COVID-19 in New York state. b) Verify that the requirements for constructing a confidence interval about p are satisfied. c) Construct a 90%...
According to a geographic report, in the United States, 20% of all families renting condos will...
According to a geographic report, in the United States, 20% of all families renting condos will move during a given year. A random sample of 200 families renting condos in the Seattle Mero region illustrated the fact that 56 families moved during the past year. Does this evidence suggest that a larger proportion of condo owners moved in the Seattle area, at the .01 significance level? State the null and alternate hypotheses. Make the decision rule.
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 22.6 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 data to set up your spreadsheet and test your hypothesis. 25.8 23.84 25.25 21.2...
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 data to set up your spreadsheet and test your hypothesis. Given Data: Gallons of...
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 data to set up your spreadsheet and test your hypothesis. 24.8 23.84 25.25 21.3...
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 below. Gallons of Milk 27.1 23.84 25.25 21 17.52 19.61 19.83 26.18 34.97 29.9 28.59 20.57 26.94 27.24 Develop a hypothesis test that can be...
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 data to set up your spreadsheet and test your hypothesis. Gallons of Milk 29.8...
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 23.8 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 data to set up your spreadsheet and test your hypothesis. Gallons of Milk 28.9...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT