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 111 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 111 pregnancies is less than 262 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 = 111 pregnancies were obtained from this population, we would expect 262 days or more. OB. If 100 independent random samples of size n = 111 pregnancies were obtained from this population, we would expect exactly 262 days. OC. If 100 independent random samples of size n = 111 pregnancies were obtained from this population, we would expect 262 days or less. sample(s) to have a sample mean This result would be sample(s) to have a sample mean o sample(s) to have a sample mean of (e) What might you conclude if a random sample of 111 pregnancies resulted in a mean gestation period of 262 days or less? so the sample likely came from a population whose mean gestation period is ▼266 days. (f) What is the probability a random sample of size 18 will have mean gestation period within 9 days of the mean?
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 111 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 111 pregnancies is less than 262 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 = 111 pregnancies were obtained from this population, we would expect 262 days or more. OB. If 100 independent random samples of size n = 111 pregnancies were obtained from this population, we would expect exactly 262 days. OC. If 100 independent random samples of size n = 111 pregnancies were obtained from this population, we would expect 262 days or less. sample(s) to have a sample mean This result would be sample(s) to have a sample mean o sample(s) to have a sample mean of (e) What might you conclude if a random sample of 111 pregnancies resulted in a mean gestation period of 262 days or less? so the sample likely came from a population whose mean gestation period is ▼266 days. (f) What is the probability a random sample of size 18 will have mean gestation period within 9 days of the mean?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 111 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 111 pregnancies is less than 262 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 = 111 pregnancies were obtained from this population, we would expect
262 days or more.
OB. If 100 independent random samples of size n = 111 pregnancies were obtained from this population, we would expect
exactly 262 days.
OC. If 100 independent random samples of size n = 111 pregnancies were obtained from this population, we would expect
262 days or less.
(e) What might you conclude if a random sample of 111 pregnancies resulted in a mean gestation period of 262 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 18 will have a mean gestation period within 9 days of the mean?
This result would be
sample(s) to have a sample mean of
sample(s) to have a sample mean of
sample(s) to have a sample mean of
266 days.
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