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:

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:

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

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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