A personal trainer is interested in comparing the anaerobic thresholds of college distance runners. Anaerobic threshold is defined as the upper limit of aerobic exercise and is typically measured in heartbeats per minute. It is also the point at which the muscles cannot get higher levels of oxygen to sustain activity. The anaerobic threshold of each runner in a random sample of 12 college runners was measured in heartbeats per minute. The data are displayed in the table below. Anaerobic Thresholds (heartbeats per minute) for a Sample of 12 College Runners 185 178 193 164 94 179 194 192 191 181 172 194 The trainer wants to know if the true median anaerobic threshold of this population of runners is different from 184. The sign test for a population median will be used to answer this question. (a) State the alternative hypothesis. OH: The true median anaerobic threshold of these 12 distance runners is different from 184. OH: The true median anaerobic threshold of the population of all college distance runners is more than 184. Ha: The true median anaerobic threshold of the population of all college distance runners is different from 184. OH: The true median anaerobic threshold of the population of all college distance runners is less than 184. (b) Calculate the test statistic. Calculate the P-value. (Use technology. Round your answer to four decimal places.) Using a significance level of a = 0.05, state the conclusion. The P-value is less than 0.05. The data support the claim that the true median anaerobic threshold of the population of all college distance runners is different from 184. The P-value is not less than 0.05. The data does not support the claim that the true median anaerobic threshold of the population of all college distance runners is different from 184. The P-value is not less than 0.05. The data support the claim that the true median anaerobic threshold of the population of all college distance runners is different from 184. The P-value is less than 0.05. The data does not support the claim that the true median anaerobic threshold of the population of all college distance runners is different from 184. Need Help? Read It