Question 10 (2 points) lndomethacin is one type of non-steroidal anti-inflammatory drug that is given to people diagnosed with ankylosing spondylitis (or AS, a rare kind of arthritis) to suppress pain. It is observed that this medication takes effect up until 4 weeks after regular intake. However, due to medical advancement, we expect that it will take less than the reported time interval. To confirm this, a researcher gathered 15 randomly selected patients with AS, and recorded the time it took for the pain, swelling, or stiffness to be relieved after indomethacin intake (in weeks). If the true average weeks is less than 4 and we fail to reject the null hypothesis, did a type |, type II, or no error occur? (Source: Smith, M. (2020, October 13). Ankylosing Spondylitis (AS): Symptoms, Causes, Diagnosis, Treatment, and Prognosis. Retrieved from https://www.webmd.com/arthritis/what-is-ankylosing- spondylitis) O No error has occurred 0 Type II Error has occurred 0 Both Type I and Type II Errors have occurred 0 I need more information to answer this 0 Type | Error has occurred A poultry farmer is considering of administering a certain brand of vitamins on his chickens to achieve the ideal weight. If they do not differ in weight from 5 pounds, on average after intake, then he will buy bulk amounts of that vitamin brand. To make his decision, he randomly selected 15 chickens and weighed them after weeks of supplementing them with the vitamins. It is found that the sample has a mean weight of 5.15 pounds, with standard deviation of 0.42 pounds. Should he invest on the vitamins or not? Conduct a hypothesis test at 5% level of significance. What is the appropriate decision and conclusion? 0 Since p-value 0.05, reject Ha. We have sufficient evidence to say that the average weight of chickens after vitamin intake is less than 5 pounds. Therefore, the farmer should not buy that vitamin brand. 0 Since p-value 0.05, fail to reject Ho. We do not have sufficient evidence to say that the average weight of chickens after vitamin intake is not equal to 5 pounds. Therefore. the farmer should huv that Vitamin brand