Independent random samples selected from two normal populations produced the sample means and standard deviations shown...

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Independent random samples selected from two normal populations produced the sample means and standard deviations shown...

Independent random samples selected from two normal populations produced the sample means and standard deviations shown below:

Sample 1	Sample 2
x̅₁ = 5.4	x̅₂ = 8.2
s₁ = 5.6	s₂ = 8.2
n₁ = 20	n₂ = 18

Conduct the test H₀: μ₁- μ₂= 0 against H₁ : μ₁ - μ₂ ≠ 0 ,then the test statistic is __________.

math Statistics-And-Probability

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Answer 1

Answer #1

Solution:

To test the hypothesis, H₀ : μ₁ - μ₂ = 0 against H₁ : μ₁ - μ₂ ≠ 0

Assuming equal variances , we perform t test for the difference between two means.

Let be the the pooled variance.

=

The test statistic t is given by

t =

=

= -1.240

The test statistic is -1.240

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Answer 2

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