Question 16: A population of values has a normal distribution with μ=42.1μ=42.1 and σ=22.1σ=22.1. You intend to draw a random sample of size n=130n=130.Find the probability that a single randomly selected value is greater than 44.2.P(X > 44.2) = CorrectFind the probability that a sample of size n=130n=130 is randomly selected with a mean greater than 44.2.P(M > 44.2) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. A population of values has a normal distribution with u = 42.1 and o = 22.1. You intend to draw arandom sample of size n = 130.Find the probability that a single randomly selected value is greater than 44.2.P(X > 44.2) = 0.4621Find the probability that a sample of size n = 130 is randomly selected with a mean greater than 44.2.P(M > 44.2) =Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Check Answer

The z score denote the number of standard deviations that are above or below the mean value. It is…

Answered: A population of values has a normal…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question 16: A population of values has a normal distribution with μ=42.1μ=42.1 and σ=22.1σ=22.1. You intend to draw a random sample of size n=130n=130.

Find the probability that a single randomly selected value is greater than 44.2.
P(X > 44.2) = Correct

Find the probability that a sample of size n=130n=130 is randomly selected with a mean greater than 44.2.
P(M > 44.2) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A population of values has a normal distribution with u = 42.1 and o = 22.1. You intend to draw a
random sample of size n = 130.
Find the probability that a single randomly selected value is greater than 44.2.
P(X > 44.2) = 0.4621
Find the probability that a sample of size n = 130 is randomly selected with a mean greater than 44.2.
P(M > 44.2) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-
scores rounded to 3 decimal places are accepted.
Check Answer

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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