Two samples of n = 5 subjects were analyzed with an independent-samples t-test, producing a t...

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Two samples of n = 5 subjects were analyzed with an independent-samples t-test, producing a t...

Two samples of n = 5 subjects were analyzed with an independent-samples t-test, producing a t = 2.295.

a) What is the t_crit ?

b) Does this indicate a significant difference in a two-tailed test with α = .05?

math Statistics-And-Probability

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Answer 1

Answer #1

Part a

We are given

Test is two tailed test.

n₁ = 5

n₂ = 5

df = n₁ + n₂ – 2 = 5 + 5 – 2 = 8

df = 8

α = 0.05

So, critical value by using t-table or excel is given as below:

t_critcial = ±2.3060

Part b

We have

t_critcial = ±2.3060

t_obs= 2.295

t_obs = 2.295 < t_critcial = 2.3060

So, we do not reject the null hypothesis

This does not indicate a significant difference in a two-tailed test with α = 0.05.

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Answer 2

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