Question

In: Statistics and Probability

Question 1 Both F and Chi Square distributions are unimodal and symmetric True False Question 2...

Question 1

Both F and Chi Square distributions are unimodal and symmetric

  1. True
  2. False

Question 2

Both F and Chi Square distributions vary with df

  1. True
  2. False

Question 3

Both F and Chi Square distributions can be used to compare multiple sample means

  1. True
  2. False

Question 4

For Chi Square tests, all tests discussed can be used for both experiments and surveys

  1. True
  2. False

Question 5

For ANOVA: the null hypothesis is: Mu1 = Mu2 = Mu3......etc

  1. True
  2. False

Question 6

For ANOVA: the alternative hypothesis is: Mu1 LaTeX: \ne≠Mu2 LaTeX: \ne≠Mu3......etc.

  1. True
  2. False

Question 7

Chi Square tests have an assumption of normality

  1. True
  2. False

Question 8

Both ANOVA and Chi square tests are always right tail tests

  1. True
  2. False

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)

  1. True
  2. False

Solutions

Expert Solution

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

===================================================================================

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

======================================================================================

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

======================================================================================

Question 5) The null hypothesis is defined as

..............etc

Option A) True is correct

================================================================================

Question 6) The alternative hypothesis is defined as

H1: Atleast one group has different mean

Option A) True is correct

================================================================================


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