True/False. Each of the following statements can be TRUE or FALSE. Mark "T" if true or "F" if false in the parenthesis below for each statement. (There is no need to show the calculation procedure or explanations). (1) ( ) S² (sample variance) is an unbiased estimator of o' only when the distribution of the population is normal. (2) ( (3) ( ) Stem-and-leaf diagram can be used to investigate the distribution shape, central tendency and spread of a set of data. ) Sample average (X) of n independent normal random variables follows a normal distribution only if n is large (n>30). (4) ( ) if F follows an F distribution with v₁ and v2 degrees of freedom, (F~ F(v₁,v₂)) then follows an F distribution with v2 and v₁ degrees of freedom F

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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True/False. Each of the following statements can be TRUE or FALSE. Mark "T" if true
or "F" if false in the parenthesis below for each statement. (There is no need to show the
calculation procedure or explanations).
(1) (
) S² (sample variance) is an unbiased estimator of o' only when the distribution
of the population is normal.
(2) (
) Stem-and-leaf diagram can be used to investigate the distribution shape, central
tendency and spread of a set of data.
(3) (
) Sample average (X) of n independent normal random variables follows a
normal distribution only if n is large (n>30).
(4) (
) if F follows an F distribution with v₁ and v2 degrees of freedom, (F-F(v₁,v₂)),
then follows an F distribution with v2 and v₁ degrees of freedom
F
(~F(V₂, V₁)).
Transcribed Image Text:True/False. Each of the following statements can be TRUE or FALSE. Mark "T" if true or "F" if false in the parenthesis below for each statement. (There is no need to show the calculation procedure or explanations). (1) ( ) S² (sample variance) is an unbiased estimator of o' only when the distribution of the population is normal. (2) ( ) Stem-and-leaf diagram can be used to investigate the distribution shape, central tendency and spread of a set of data. (3) ( ) Sample average (X) of n independent normal random variables follows a normal distribution only if n is large (n>30). (4) ( ) if F follows an F distribution with v₁ and v2 degrees of freedom, (F-F(v₁,v₂)), then follows an F distribution with v2 and v₁ degrees of freedom F (~F(V₂, V₁)).
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