Suppose that 31% of all births in a certain region take place by Caesarian section each year. a. In a random sample of 500 births, how many, on average, will take place by Caesarian section? b. What is the standard deviation of the number of Cassarian section births in a sample of 500 births? e. Use your answers to parts a and b to form an interval thet is likely to contain the number of Caesarian section births in a sample of 500 births.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that 31% of all births in a certain region take place by Caesarian section each year.
a. In a random sample of 500 births, how many, on average, will take place by Caesarian section?
b. What is the standard deviation of the number of Cassarian section births in a sample of 500 births?
e. Use your answers to parts a and b to form an interval that is likely to contain the number of Caesarian seclion births in a sample of 500 births.
a. On average, 155 out of 500 births wil take place by Cassarian section.
(Round to the nearest whole number as needed.)
b. The standard deviation in a sample of 500 births is 10.34
(Round to two dacimal places as needed.)
c. The number of Caesarian section births is 95% likely to be in the interval ( D using the empirical rule.
(Round to one decimal place as needed.)
Transcribed Image Text:Suppose that 31% of all births in a certain region take place by Caesarian section each year. a. In a random sample of 500 births, how many, on average, will take place by Caesarian section? b. What is the standard deviation of the number of Cassarian section births in a sample of 500 births? e. Use your answers to parts a and b to form an interval that is likely to contain the number of Caesarian seclion births in a sample of 500 births. a. On average, 155 out of 500 births wil take place by Cassarian section. (Round to the nearest whole number as needed.) b. The standard deviation in a sample of 500 births is 10.34 (Round to two dacimal places as needed.) c. The number of Caesarian section births is 95% likely to be in the interval ( D using the empirical rule. (Round to one decimal place as needed.)
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