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.
To learn more about hypothesis testing check the given link
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