For a hypothesis test comparing two independent population means, the combined degrees of freedom are 56. Which of the following statements about the two sample sizes cannot be true? Assume the population standard deviations are unknown but equal Multiple Choice O m = 29, n2 - 29 O m-27; 12 - 29 O m = 26; * 32 28O n2 = 30



Answer :

Option B  [tex]n_{1} = 27 ,n_{2} = 29[/tex]  are the two sample sizes cannot be true.

HYPOTHESIS TEST

  • Hypothesis testing in statistics is the process of putting a population parameter assumption to the test.
  • The analyst will select a method based on the type of data used and the goal of the research.
  • Hypothesis testing is a method used to determine whether a hypothesis is tenable by using sample data.

Given that:

The degree of freedom for the test of two independent population means is 56.

Degrees of freedom for two independent populations are well known.

[tex]n_{1} + n_{2} - 2[/tex]

[tex]n_{1} + n_{2} - 2[/tex] = 56

[tex]n_{1} + n_{2}[/tex] = 54

Total sample sizes = 54

Option B (   [tex]n_{1} = 27 ,n_{2} = 29[/tex] ) cannot be true.

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