a. Assuming that head circumferences for infants are normally distributed with standard deviation 1.6 cm, determine a 90% confidence interval for the mean head circumference of all infants. The confidence interval for the mean head circumference of all infants is from cm to (Round to one decimal place as needed.) b. Obtain the margin of error, E, for the confidence interval you found in part (a). The margin of error is cm. (Round to one decimal place as needed.) cm. c. Explain the meaning of E in this context in terms of the accuracy of the estimate. Choose the correct answer below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. We can be 90% confident that the estimate of μ by x is cm. OB. We can be 90% confident that the error made in estimating u by x is at least cm.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In a study on infants, one of the characteristics measured was head circumference. The mean
head circumference of 13 infants was 34.8 centimeters (cm). Complete parts (a) through (d)
a. Assuming that head circumferences for infants are normally distributed with standard
deviation 1.6 cm, determine a 90% confidence interval for the mean head circumference of all
infants.
The confidence interval for the mean head circumference of all infants is from
(Round to one decimal place as needed.)
b. Obtain the margin of error, E, for the confidence interval you found in part (a).
The margin of error is
cm.
(Round to one decimal place as needed.)
cm to cm.
c. Explain the meaning of E in this context in terms of the accuracy of the estimate. Choose the
correct answer below and fill in the answer box to complete your choice.
(Round to one decimal place as needed.)
O A. We can be 90% confident that the estimate of μ by x is cm.
B. We can be 90% confident that the error made in estimating μ by x is at least
O C. We can be 90% confident that the error made in estimating μ by x is at most
O D. We can be 90% confident that the possible values of u are within cm of each other.
d. Determine the sample size required to have a margin of error of 0.8 cm with a 99%
cm.
cm.
Transcribed Image Text:In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 13 infants was 34.8 centimeters (cm). Complete parts (a) through (d) a. Assuming that head circumferences for infants are normally distributed with standard deviation 1.6 cm, determine a 90% confidence interval for the mean head circumference of all infants. The confidence interval for the mean head circumference of all infants is from (Round to one decimal place as needed.) b. Obtain the margin of error, E, for the confidence interval you found in part (a). The margin of error is cm. (Round to one decimal place as needed.) cm to cm. c. Explain the meaning of E in this context in terms of the accuracy of the estimate. Choose the correct answer below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. We can be 90% confident that the estimate of μ by x is cm. B. We can be 90% confident that the error made in estimating μ by x is at least O C. We can be 90% confident that the error made in estimating μ by x is at most O D. We can be 90% confident that the possible values of u are within cm of each other. d. Determine the sample size required to have a margin of error of 0.8 cm with a 99% cm. cm.
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