In: Statistics and Probability
Question 1
Both F and Chi Square distributions are unimodal and symmetric
Question 2
Both F and Chi Square distributions vary with df
Question 3
Both F and Chi Square distributions can be used to compare multiple sample means
Question 4
For Chi Square tests, all tests discussed can be used for both experiments and surveys
Question 5
For ANOVA: the null hypothesis is: Mu1 = Mu2 = Mu3......etc
Question 6
For ANOVA: the alternative hypothesis is: Mu1 LaTeX: \ne≠Mu2 LaTeX: \ne≠Mu3......etc.
Question 7
Chi Square tests have an assumption of normality
Question 8
Both ANOVA and Chi square tests are always right tail tests
Question 9
For a Chi Square test of Association, you ask if mouse hair color (black, grey or white) is associated with whisker length (short, medium or long). The df for this analysis would be: Give answer as X
Question 10
For ANOVA, you only complete a Tukey's means comparisons test if the overall F* value was significant (i.e., p<0.05)
Q1) A unimodal distribution is a distribution with one clear peak or most frequent value
Chi square distribution is unimodal and F distribution is asymmetric
So, the given statements are false
Option B is correct
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Q 2) as degrees of freedom increases chi square distribution approximate to normal distribution and The shape of the F-distribution varies with its degrees of freedom (df)
So, option A ) True is correct
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Q3)The chi-square distribution is used in the common chi-square tests for goodness of fit of an observed distribution to a theoretical one and F distribution is used to test whether two independent samples have been drawn for the normal populations with the same variance, or if two independent estimates of the population variance are homogeneous or not
so the given statements are False
Option B ) False is correct
=======================================================================================Question 4
Chi Square tests, are used to tests for both experiments and surveys data
Option A) True is correct
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Question 5) The null hypothesis is defined as
..............etc
Option A) True is correct
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Question 6) The alternative hypothesis is defined as
H1: Atleast one group has different mean
Option A) True is correct
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