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n a study on​ infants, one of the characteristics measured was head circumference. The mean head...

n a study on​ infants, one of the characteristics measured was head circumference. The mean head circumference of 9 infants was 34.1 centimeters​ (cm). Complete parts​ (a) through​ (d) below. Click here to view Page 1 of the table of areas under the standard normal curve.LOADING... Click here to view Page 2 of the table of areas under the standard normal curve.LOADING...

a. Assuming that head circumferences for infants are normally distributed with standard deviation 2.4 ​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 nothing cm to nothing 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 nothing 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.) A. We can be 95​% confident that the error made in estimating mu by x overbar is at least nothing cm. B. We can be 95​% confident that the possible values of mu are within nothing cm of each other. C. We can be 95​% confident that the error made in estimating mu by x overbar is at most nothing cm. D. We can be 95​% confident that the estimate of mu by x overbar is nothing cm. d. Determine the sample size required to have a margin of error of 0.5 cm with a 99​% confidence level. The required sample size is nothing. ​(Round up to the nearest whole​ nu

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