Answered: The number of cat videos watched by a…

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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Question

The number of cat videos watched by a household each day during the lockdown is normally distributed with an average of 108, and a standard deviation of 18. We randomly survey 36 households, and consider the sample average. Find the following values.

The base distribution is:
X
∼
N
(

,

)

The sampling distribution is:
¯¯¯
X
∼
N
(

,

)

The
z
-score for an
x
-value of 104.4 is:

The
z
-score for a
¯
x
-value of 104.4 is:

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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