if a population has a normal distribution with mean mu and standard deviation sigma, thin if sigma is replaced by s, then the statistic _____ has a _____ distribution with _____ degrees of freedom. A. s,t, n-1 b. s, normal, n-1 c. x bar, t, n-1 d. x bar, normal, n1 + n2 -2

if a population has a normal distribution with mean mu and standard deviation sigma, thin if sigma is replaced by s, then the statistic ___ has a _ distribution with ___ degrees of freedom. A. s,t, n-1 b. s, normal, n-1 c. x bar, t, n-1 d. x bar, normal, n1 + n2 -2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 9DE

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Question

if a population has a normal distribution with mean mu and standard deviation sigma, thin if sigma is replaced by s, then the statistic _____ has a _____ distribution with _____ degrees of freedom.

A. s,t, n-1

b. s, normal, n-1

c. x bar, t, n-1

d. x bar, normal, n₁+ n₂-2

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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