(d) What is the probability that a random sample of 106 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 106 pregnancies is less than 262 days is approximately 0.0051 . (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.) O A. If 100 independent random samples of sizen=106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or less. O B. If 100 independent random samples of sizen=106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. O C. If 100 independent random samples of sizen= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days.

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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The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f).
(D) Suppose a ranaom sampie or 41 numan pregnancies is optainea. Descripe tne sampiing aistribution or tne sampie mean iengtn or pregnancies.
The sampling distribution of x is
normal
with H; = 266 and o: = 2.4988.
(Type integers or decimals rounded to four decimal places as needed.)
(c) What is the probability that a random sample of 41 pregnancies has a mean gestation period of 262 days or less?
The probability that the mean of a random sample of 41 pregnancies is less than 262 days is approximately 0.0547.
(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.)
O A. If 100 independent random samples of size n=41 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 262 days or more.
OB. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect 5 sample(s) to have a sample mean of 262 days or less.
O C. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 262 days.
(d) What is the probability that a random sample of 106 pregnancies has
mean gestation period of 262 days or less?
The probability that the mean of a random sample of 106 pregnancies is less than 262 days is approximately 0.0051
(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= 106 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 262 days or less.
O B. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 262 days or more.
O C. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 262 days.
Transcribed Image Text:The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). (D) Suppose a ranaom sampie or 41 numan pregnancies is optainea. Descripe tne sampiing aistribution or tne sampie mean iengtn or pregnancies. The sampling distribution of x is normal with H; = 266 and o: = 2.4988. (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 41 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 41 pregnancies is less than 262 days is approximately 0.0547. (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.) O A. If 100 independent random samples of size n=41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. OB. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect 5 sample(s) to have a sample mean of 262 days or less. O C. If 100 independent random samples of size n= 41 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days. (d) What is the probability that a random sample of 106 pregnancies has mean gestation period of 262 days or less? The probability that the mean of a random sample of 106 pregnancies is less than 262 days is approximately 0.0051 (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= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or less. O B. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or more. O C. If 100 independent random samples of size n= 106 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 262 days.
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