Answered: You want to calculate the probability…

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

You want to calculate the probability of getting a value that is less than 1 standard devation below the mean or less. You do not know the population standard deviation, but the data has a bell shape and is symmetric about the population mean which equals 0. Your sample will have 19 values, n = 19. Which distribution would be the best to use to find this probability?

A binomial distribution

The Student's "t" distribution

A standard normal distribution

A non-standard normal distribution

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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