(d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 260 days or less? The probability that the mean of a random sample of 49 pregnancies is less than 260 days is approximately. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) OA. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect OB. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect OC. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 260 days or less? so the sample likely came from a population whose mean gestation period is (f) What is the probability a random sample of size 19 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 19 will have a mean gestation period within 10 days of the mean is (Round to four decimal places as needed.) This result would be sample(s) to have a sample mean of 260 days or sample(s) to have a sample mean of 260 days or sample(s) to have a sample mean of exactly 260 ▼266 days.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days. Complete parts (a) through (f).
(d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 260 days or less?
The probability that the mean of a random sample of 49 pregnancies is less than 260 days is approximately
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
A. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect
B. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect
C. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect
(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 260 days or less?
so the sample likely came from a population whose mean gestation period is
(f) What is the probability a random sample of size 19 will have a mean gestation period within 10 days of the mean?
The probability that a random sample of size 19 will have a mean gestation period within 10 days of the mean is
(Round to four decimal places as needed.)
This result would be
sample(s) to have a sample mean of 260 days or more.
sample(s) to have a sample mean of 260 days or less.
sample(s) to have a sample mean of exactly 260 days.
266 days.
Transcribed Image Text:The length of human pregnancies is approximately normal with mean μ = 266 days and standard deviation o= 16 days. Complete parts (a) through (f). (d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 260 days or less? The probability that the mean of a random sample of 49 pregnancies is less than 260 days is approximately (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect B. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect C. If 100 independent random samples of size n = 49 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 260 days or less? so the sample likely came from a population whose mean gestation period is (f) What is the probability a random sample of size 19 will have a mean gestation period within 10 days of the mean? The probability that a random sample of size 19 will have a mean gestation period within 10 days of the mean is (Round to four decimal places as needed.) This result would be sample(s) to have a sample mean of 260 days or more. sample(s) to have a sample mean of 260 days or less. sample(s) to have a sample mean of exactly 260 days. 266 days.
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