Question

33.6 34.8 30.5 36 35.8 Test the hypotheses H0: μ = 35 versus H1: μ <...

33.6
34.8
30.5
36
35.8
Test the hypotheses H0: μ = 35 versus H1: μ < 35, using α= 0.05.

What is the P-value

Should the null be rejected or fail to reject

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Answer #1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 35
Alternative Hypothesis, Ha: μ < 35

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (34.14 - 35)/(2.2468/sqrt(5))
t = -0.856

P-value Approach
P-value = 0.2201

As P-value >= 0.05, fail to reject null hypothesis.

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