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Find the test statistic, t, to test the hypothesis that μ 1 < μ 2. Two...

Find the test statistic, t, to test the hypothesis that μ 1 < μ 2. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.

n 1 = 15      n 2 = 15

x ¯ 1 = 21.14     x ¯ 2 = 23.69

s 1 = 2.9      s 2 = 2.8

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Answer #1


Test Statistic :-
t = (X̅1 - X̅2) / SP √ ( ( 1 / n1) + (1 / n2))
Sp=(V(n1 – 1)S? + (n2 – 1)53)/(n1+ n2 – 2)

Sp = 2.85044

t = - 2.450

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