Question

Two samples, one of size 14 and the second of size 13, are selected from a...

Two samples, one of size 14 and the second of size 13, are selected from a normal distribution to test the difference between two population means and σ is unknown.

Which distribution should be used for this test?

What is the critical value for a 5% level of significance for the right-tailed test?

Math   Statistics-And-Probability   
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Answer #1

Solution : -

Given :-

Two samples, are selected from a normal distribution to test the difference between two population means and σ is unknown.

Sample Size ( n1) = 14

Sample Size ( n1) = 13

= 0.05

------------------------------------------------------------------------

df = n1 + n2 - 2

df = 14 + 13 - 2

df = 25

Two samples, are selected from a normal distribution to test the difference between two population means and σ is unknown.

So We will use ' t ' distibution for this test.

-------------------------------------------------------------------

The critical value for a 5% ( 0.05 ) level of significance for the right-tailed test is ,

By using ' t ' distribution table,

t critical ( tc ) is 1.708

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