Answered: Suppose the lengths of the pregnancies…

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

Related questions

Question

Suppose the lengths of the pregnancies of dolphins are approximately normally distributed with mean μ=μ= 359 days and standard deviation σ=σ= 10 days.

(a) What is the probability that a randomly selected pregnancy lasts more than 366 days?
Correct (Round your answer to four decimal places as needed.)

(b) Suppose a random sample of 15 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of ¯xx¯ is Correct with μ¯x=μx¯= Correct and σ¯x=σx¯= Correct. (Round your answer to four decimal places as needed.)

(c) What is the probability that a random sample of 15 pregnancies has a mean gestation period of 366 days or more?
(Round your answer to four decimal places as needed.)

(d) What might you conclude if a random sample of 15 pregnancies resulted in a mean gestation period of 366 days or more? Select the best choice:

This result would be unusual, because the probability of it occuring is less than 5%
This result would be usual, because the probability of it occuring is less than 5%
This result would be usual, because the probability of it occuring is more than 5%
This result would be unusual, because the probability of it occuring is more than 5%

Correct

(e) What is the probability that a random sample of 15 pregnant dolphins will have a mean gestation period within 4 days of the mean?
(Round your answer to four decimal places as needed.)

(f) If you have a sample of 15 dolphins, find the average duration of pregnancy that is the cut-off between the shortest 25% of the average pregnancy lengths and the rest.
(Round your answer to the nearest day.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution