(f) What is the probability a random sample of size 19 will have a mean gestation period within 9 days of the mean? The probability that a random sample of size 19 will have a mean gestation period within 9 days of the mean is (Round to four decimal places as needed.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Hi, I need help solving part F. Thanks!
![Homework: 2-2 MyStatLab: Module Two Problem Set
Score: 4.58 of 5 pts
11 of 15 (15 complete)
% 8.1.19-T
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 281 days and standard deviation o = 21 days. Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy lasts less than 274 days?
The probability that a randomly selected pregnancy lasts less than 274 days is approximately 0.3694 . (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 pregnant individuals were selected independently from this population, we would expect
pregnancies to last exactly 274 days.
O B. If 100 pregnant individuals were selected independently from this population, we would expect
pregnancies to last more than 274 days.
C. If 100 pregnant individuals were selected independently from this population, we would expect 37 pregnancies to last less than 274 days.
(b) Suppose a random sample of 23 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
The sampling distribution of x is
normal
with
= 281 and o; = 4.3788 .
(Round to four decimal places as needed.)
(c) What is the probability that a random sample of 23 pregnancies has a mean gestation period of 274 days or less?
The probability that the mean of a random sample of 23 pregnancies is less than 274 days is approximately 0.0550 .
(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= 23 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 274 days or more.
B. If 100 independent random samples of size n= 23 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 274 days.
C. If 100 independent random samples of size n= 23 pregnancies were obtained from this population, we would expect 6 sample(s) to have a sample mean of 274 days or less.
(d) What is the probability that a random sample of 50 pregnancies has a mean gestation period of 274 days or less?
The probability that the mean of a random sample of 50 pregnancies is less than 274 days is approximately 0.0092.
(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.)
If 100 independent random samples of size n = 50 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 274 days or less.
B. If 100 independent random samples of size n = 50 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 274 days.
O C. If 100 independent random samples of size n= 50 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 274 days or more.
(e) What might you conclude if a random sample of 50 pregnancies resulted in a mean gestation period of 274 days or less?
This result would be unusual, so the sample likely came from a population whose mean gestation period is
less than
281 days.
(f) What is the probability a random sample of size 19 will have a mean gestation period within 9 days of the mean?
The probability that a random sample of size 19 will have a mean gestation period within 9 days of the mean is
(Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe39a0b49-3965-4d73-8bb1-fc126632bf67%2F79f6bb57-cd9e-4f4f-ba0b-b5db33454fcb%2Fomcml37_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)