For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. 95% of the adults in this species have a mass between 6.7 grams and 8.1 grams. .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 andcontrast the two distributions.. What is the probability of getting a sample of size n = 100 with mean X < 7.2? Explain your process.What is the probability of getting an individual salamander with a mass of X < 7.2 grams? Explain yourprocess.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 n = 200 with meanX 7.2 higher or lower than the probability of getting the same mean for a sample of size n =Explain your reasoning.100?CсmmilM31B11acer▸11

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…

For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. 95% of the adults in this species have a mass between 6.7 grams and 8.1 grams.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. 95% of the adults in this species have a mass between 6.7 grams and 8.1 grams.

.
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 X < 7.2? Explain your process.
What is the probability of getting an individual salamander with a mass of X < 7.2 grams? Explain your
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 =
Explain your reasoning.
100?
C
с
mmil
M
31
B
11
acer
▸
11

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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