Homework Help is Here – Start Your Trial Now!
Math
Statistics
(b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with H; = 260 and o: = 4.8008. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724 . (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=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. OB. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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.)

(b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with H; = 260 and o: = 4.8008. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724 . (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=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. OB. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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.)

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
See similar textbooks
icon
Related questions
Question
100%
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. (b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with H; = 260 and o: = 4.8008. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724. (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= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more.
Transcribed Image Text:Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. (b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with H; = 260 and o: = 4.8008. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724. (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= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (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= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS