Which two of the following are assumptions made when using a two sample test of means with equal standard deviations?

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When using a two sample test of means with equal standard deviations, then T distribution is the best option for it.

Sample test:

Sample test refers a method of reaching a conclusion to reject or support the claims based on sample data.

Given,

Here we need to identify in which of the following are assumptions made when using a two sample test of means with equal standard deviations.

While we looking into the options for this one, then we have identified that, the sampling distribution of the difference of means is a T distribution.

So, the populations have equal but unknown standard deviation's.

Therefore, we "pool" the sample standard deviation.

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konstantin123 [22]

Consider the given parallelogram KLMN.

Prove: $\angle N \cong \angle L, \angle K \cong \angle M$

Statement Reason

1. $KL \parallel NM, KN \parallel LM$ Definition of parallelogram

2. $\angle K+ \angle N = 180^\circ$ Same Side interior angle theorem

$\angle L+ \angle M = 180^\circ$

$\angle K+ \angle L = 180^\circ$

3. $\angle K+ \angle N=\angle K+ \angle L$ Substitution property

$\angle L+ \angle M=\angle K+ \angle L$

4. $\angle N = \angle L$ Subtraction property of equality

$\angle M = \angle K$

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

5. $\angle N \cong \angle L$ Angle Congruence Postulate