Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Earthquake Magnitudes? Refer to Data Set 16 in Appendix B for the earthquake magnitudes. Use a 0.01 significance level to test the claim that the median is equal
Solution 18BSC Step 1 By using = 0.01 level of significance to test the claim that the median of earthquake magnitude is equal to 1. The Hypotheses can be expressed as H0 Median is equal to 1 H1 Median is not equal to 1 Step 2 Let us denote negative sign (-) for earthquake magnitude less than 1 and positive sign (+) for earthquake magnitude more than 1, we have 20 negative signs and 27 positive signs and 3 equal values from the dataset-16 of Appendix B. Now, Positive signs = 27 Negative signs = 20 Number of ties = 3 Now, the Test Statistic is the less frequent sign i.e., negative sign = 20 Therefore, x = 20 is the required value of test statistic. Hence for sign test the required sample size used is 47 i.e., n = 27 + 20 = 47 which is greater than 25 (n 25).
Textbook: Elementary Statistics
Author: Mario F. Triola
This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The full step-by-step solution to problem: 18BSC from chapter: 13.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Since the solution to 18BSC from 13.2 chapter was answered, more than 283 students have viewed the full step-by-step answer. The answer to “Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Earthquake Magnitudes? Refer to Data Set 16 in Appendix B for the earthquake magnitudes. Use a 0.01 significance level to test the claim that the median is equal” is broken down into a number of easy to follow steps, and 51 words. This full solution covers the following key subjects: appendix, use, claim, data, Earthquake. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960.