Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed.
Claim: μ > 1240; α = 0.08; σ = 204.35. Sample statistics: x̄ = 1261.04, n = 275
Identify the null and alternative hypotheses. Choose the correct answer below.
A. H0: μ ≥ 1261.04, Ha: μ < 1261.04
B. H0: μ > 1240, Ha: μ ≤ 1240
C. H0: μ ≤ 1240, Ha: μ > 1240
D. H0: μ ≤ 1261.04, Ha: μ > 1261.04
E. H0: μ > 1261.04, Ha: μ ≤ 1261.04
F. H0: μ ≥ 1240, Ha: μ < 1240
Calculate the standardized test statistic.
The standardized test statistic is
(Round to two decimal places as needed.)
Determine the P-value.
P = (Round to three decimal places as needed.)
Determine the outcome and conclusion of the test.
H0. At the 8% significance level, there enough evidence to the claim.
Click to select your answer(s).
a. The P-value is
b. We can reject H0 for , and we cannot reject H0 for . For significance levels , the t-table is not sufficiently detailed in order to decide whether to reject H0.