Answered: A population of values is normally…

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 26PFA

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A population of values is normally distributed with μ=58.8 and σ=24.3

a) Find P61 for a single randomly selected value. This answer represents the score separating the bottom 61% scores from the top 39% scores.

P61 =

b) Now draw a random sample of size n=180 . Find P61 for the sampling distribution. This answer represents the score separating the bottom 61% of the sample means from the top 39% of the sample means.

P61 =

Enter your answers as numbers accurate to 1 decimal place.

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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