Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. Choose the correct option based on the problem information.
Use a significance level of α = 0.01 to test the claim that μ > 2.85. The sample data consist of 9 scores for which = 3.1 and s = 0.6. Identify the correct null and alternative hypotheses.
A. H0: μ ≠ 2.85. H1: μ = 2.85.
B. H0: μ > 2.85. H1: μ ≤ 2.85.
C. H0: μ = 2.85. H1: μ > 2.85.
D. H0: μ ≥ 2.85. H1: μ < 2.85.