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Question
claim: the average weight of males is greater than 53 kg. ten male students were selected to test this claim. also set our α = 0.01, x̄ = 51, s = 4.74, n = 10, df = 10 - 1 = 9
step 1: what is the null hypothesis?
ho: μ = 53
ho: μ < 53
ho: μ ≠ 53
ho: μ > 53
Step1: Recall the definition of null hypothesis
The null hypothesis ($H_0$) is a statement of no difference or no effect. It is the hypothesis that is tested. In a one - tailed test (where the claim is about a direction, like greater than), the null hypothesis is a statement of equality.
Step2: Analyze the claim
The claim is "The average weight of males is greater than 53 kg". The null hypothesis for a one - tailed (right - tailed in this case, since the claim is $\mu>53$) test is always a statement of equality.
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$H_0:\mu = 53$