1.Suppose x has a normal distribution with mean ? = 50 and standard deviation ? = 12.(a) Describe the distribution of x values for sample size n = 4. (Use 2 decimal places.)?x= ?x= (b) Describe the distribution of x values for sample size n = 16. (Use 2 decimal places.)?x= ?x= (c) Describe the distribution of x values for sample size n = 100. (Use 2 decimal places.)?x= ?x= 2.What is the z-score of x = 3, if it is 1.1 standard deviations to the left of the mean? (Enter an exact number as an integer, fraction, or decimal.)z =

Answered: .Suppose x has a normal distribution…

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

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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1.Suppose x has a normal distribution with mean ? = 50 and standard deviation ? = 12.

(a) Describe the distribution of x values for sample size n = 4. (Use 2 decimal places.)

?_x	=
?_x	=

(b) Describe the distribution of x values for sample size n = 16. (Use 2 decimal places.)

?_x	=
?_x	=

?_x	=
?_x	=

2.What is the z-score of x = 3,

if it is 1.1 standard deviations to the left of the mean? (Enter an exact number as an integer, fraction, or decimal.)
z =

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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