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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman