Question

(Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: H0: μ ≤ 24.1 HA: μ > 24.1 A sample of 60 observations yields a sample mean of 25.4. Assume that the sample is drawn from a normal population with a known population standard deviation of 5.9. Use Table 1. a. Calculate the p-value. (Round p-value to 4 decimal places.) 0.05 Picture p-value < 0.10 p-value Picture 0.10 p-value < 0.01 0.01 Picture p-value < 0.025 0.025 Picture p-value < 0.05 b. What is the conclusion if α = 0.01? Reject H0 since the p-value is greater than α. Reject H0 since the p-value is smaller than α. Do not reject H0 since the p-value is greater than α. Do not reject H0 since the p-value is smaller than α. c. Calculate the p-value if the above sample mean was based on a sample of 150 observations. (Round p-value to 4 decimal places.) p-value < 0.01 0.01 Picture p-value < 0.025 0.025 Picture p-value < 0.05 0.05 Picture p-value < 0.10 p-value Picture 0.10 d. What is the conclusion if α = 0.01? Reject H0 since the p-value is smaller than α. Reject H0 since the p-value is greater than α. Do not reject H0 since the p-value is smaller than α. Do not reject H0 since the p-value is greater than α. rev: 11_06_2015_QC_CS-31836

Answer 1