In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.2 centimeters (cm) Complete parts (a) through (d) below. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. a. Assuming that head circumferences for infants are normally distributed with standard deviation 1.6 cm, determine a 95% 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 cm. (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.) ... 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 95% confident that the estimate of μ by x is cm.

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In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.2 centimeters (cm).
Complete parts (a) through (d) below.
Click here to view Page 1 of the table of areas under the standard normal curve.
Click here to view Page 2 of the table of areas under the standard normal curve.
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 95% confident that the estimate of μ by x is
O B. We can be 95% confident that the error made in estimating u by x is at least
OC. We can be 95% confident that the error made in estimating μ by x is at most
O D. We can be 95% confident that the possible values of μ are within cm of each other.
cm.
-tatcrunch
cm.
cm.
d. Determine the sample size required to have a margin error of 0.8 cm with a 99% confidence level.
The required sample size is. (Round up to the nearest whole number.)
Time Remaining: 01:09:15
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Transcribed Image Text:In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.2 centimeters (cm). Complete parts (a) through (d) below. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. 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 95% confident that the estimate of μ by x is O B. We can be 95% confident that the error made in estimating u by x is at least OC. We can be 95% confident that the error made in estimating μ by x is at most O D. We can be 95% confident that the possible values of μ are within cm of each other. cm. -tatcrunch cm. cm. d. Determine the sample size required to have a margin error of 0.8 cm with a 99% confidence level. The required sample size is. (Round up to the nearest whole number.) Time Remaining: 01:09:15 Next
D
D
In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.2 centimeters (cm).
Complete parts (a) through (d) below.
Click here to view Page 1 of the table of areas under the standard normal curve.
Click here to view Page 2 of the table of areas under the standard normal curve.
a. Assuming that head circumferences for infants are normally distributed with standard deviation 1.6 cm, determine a 95% 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 cm. (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 iscr
cm.
(Round to one decimal place as needed.)
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 95% confident that the estimate of μ by x is
Statcrunch
1
@
2
$
%
C...
5
cm.
&
7
8
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9
Time Remaining: 01:09:53
)
0
Next
dele
Transcribed Image Text:D D In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.2 centimeters (cm). Complete parts (a) through (d) below. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. a. Assuming that head circumferences for infants are normally distributed with standard deviation 1.6 cm, determine a 95% 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 cm. (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 iscr cm. (Round to one decimal place as needed.) 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 95% confident that the estimate of μ by x is Statcrunch 1 @ 2 $ % C... 5 cm. & 7 8 ( 9 Time Remaining: 01:09:53 ) 0 Next dele
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