O'Quinn Bob
10/13/2024 · High School
Test the claim below about the mean of the differences for a population of paired data at the level of significance \( \alpha \). Assume the samples are random and dependent, and the populations are normally distributed. Claim: \( \mu_{d} \geq 0 ; \alpha=0.01 \). Sample statistics: \( \bar{d}=-2.3, s_{d}=1.5, n=20 \)
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The test statistic is -6.86, and the critical value is -2.539. Since the test statistic is less than the critical value, we reject the null hypothesis. The mean of the differences \( \mu_d \) is less than 0.
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