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

Section10.3: Measures Of Spread

Problem 26PFA

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Question

A population of values has a normal distribution with μ=46.9μ=46.9 and σ=78.3σ=78.3. You intend to draw a random sample of size n=189n=189.

Find the probability that a single randomly selected value is greater than 37.8.
P(X > 37.8) =

Find the probability that a sample of size n=189n=189 is randomly selected with a mean greater than 37.8.
P(M > 37.8) =

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.

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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