When do we use z-distribution? A.) when the standard deviation is unknown. B.) when the population is normal and its standard deviation is known. C.) when the sample size is less than 30 and and the sample standard deviation is known. D.) when the sample size is less than 30

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

When do we use z-distribution? A.) when the standard deviation is unknown. B.) when the population is normal and its standard deviation is known. C.) when the sample size is less than 30 and and the sample standard deviation is known. D.) when the sample size is less than 30. What is the difference between the t-distribution and the standard normal distribution? A.) The t-distribution has greater area in the tails compared to the normal distribution. B.) the standard normal distribution is bell-shaped while the t-distribution is not. C.) the standard normal distribution is symmetric while the t-distribution is skewed. D.) none because they are the same thing. Please answer all. Thank you.

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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