Reference information for the question:For a certain type of salamander, the mass (X) of a randomly chosen adult is normally distributed.95% of adults in this species have a mass between 6.7 grams and 8.1 grams. Salamanders Again!Fo.•Ction, refer to the Week 6 CollaborDescribe the distribution of samples of size n =100 from this population.Sketch this sampling distribution, and also sketch the distribution of salamander masses. Compare andcontrast the two distributions.What is the probability of getting a sample of size n100 with mean < 7.2? Explain your process.P• What is the probability of getting an individual salamander with a mass of X < 7.2 grams? Explain yourO●process.Explain the difference between these two computations, and illustrate on the graphs of the twodistributions.Without actually calculating it, is the probability of getting a sample of size n200 with meanX < 7.2 higher or lower than the probability of getting the same mean for a sample of size n = 100?Explain your reasoning.CJUsignment, the scenario with the salamanders:31acerOllOVAUSNov 27

The mass X of a randomly chosen adult is normally distributed. A 95% confidence interval for the…

Answered: For a certain type of salamander, the…

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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Reference information for the question:

For a certain type of salamander, the mass (X) of a randomly chosen adult is normally distributed.

95% of adults in this species have a mass between 6.7 grams and 8.1 grams.

Salamanders Again!
Fo
.
•
C
tion, refer to the Week 6 Collabor
Describe the distribution of samples of size n =
100 from this population.
Sketch this sampling distribution, and also sketch the distribution of salamander masses. Compare and
contrast the two distributions.
What is the probability of getting a sample of size n
100 with mean < 7.2? Explain your process.
P
• What is the probability of getting an individual salamander with a mass of X < 7.2 grams? Explain your
O
●
process.
Explain the difference between these two computations, and illustrate on the graphs of the two
distributions.
Without actually calculating it, is the probability of getting a sample of size n
200 with mean
X < 7.2 higher or lower than the probability of getting the same mean for a sample of size n = 100?
Explain your reasoning.
C
JU
signment, the scenario with the salamanders:
31
acer
Oll
O
VA
US
Nov 27

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.

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