Question

8.3.16-1 WS A data set lists earthquake depths. The summary statistics are n = 600, x = 5.71 km, s = 4.73 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho:u=5.00 km Hy<5.00 km OC. Ho: +5.00 km H: 5.00 km B. Ho:u=5.00 km Hyu#5.00 km OD. Ho:u=5.00 km Hy: >5,00 km Determine the test statistic. (Round to two decimal places as needed.)

please identify the testis testing, P value, and the final conclusion that addresses the original claim

Answer 1

solution. Given. ne 600 Y = 5.7 S = 4.73 d20.01 we want to test Hoi u= 5.00 km Hi: ut 500 km Test-statisticato = -los. II-5.00 4.731/600 to = 0.71 0.1931 to = 3.6768 Test statistic: to = 3.68 # | P-value = 0.000257 on from Excel - 1 P-value = 0.0003 < 0.01 | Hence, we rgiect He at Il l-os. # A seismologist that these equ earthquakes are from a population with mean difters hom soo km.