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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). 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 262 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect 40 pregnancies to last less than 262 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. (b) Suppose a random sample of 41 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of 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. O B. 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 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 (Round to four decimal places as needed.)

The length of human pregnancies is approximately normal with mean u = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 262 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect 40 pregnancies to last less than 262 days. O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. (b) Suppose a random sample of 41 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of 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. O B. 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 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 (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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). 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 262 days. If 100 pregnant individuals were selected independently from this population, we would expect 40 pregnancies to last less than 262 days. C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. (b) Suppose a random sample of 41 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of 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. O B. If 100 independent random samples of sizen=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 sizen=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 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 (Round to four decimal places as needed.)
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). 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 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 262 days. If 100 pregnant individuals were selected independently from this population, we would expect 40 pregnancies to last less than 262 days. C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 262 days. (b) Suppose a random sample of 41 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of 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. O B. If 100 independent random samples of sizen=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 sizen=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 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 (Round to four decimal places as needed.)
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