Answered: When should the Student-t distribution…

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

When should the Student-t distribution be used in constructing a confidence interval for the population mean?

-When the population proportion is known and the underlying population is normally distributed.

-When the population standard deviation is unknown and the underlying population is normally distributed.

-When the population proportion is unknown and the underlying population is normally distributed.

-When the population standard deviation is known and the underlying population is normally distributed

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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